Franović, Igor

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  • Franović, Igor (19)
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Author's Bibliography

EFFECT of colored noise on the generation of seismic fault MOVEMENT: Analogy with spring-block model DYNAMICS

Kostić, Srđan; Vasović, Nebojša; Todorović, Kristina; Franović, Igor

(Elsevier, 2020)

TY  - JOUR
AU  - Kostić, Srđan
AU  - Vasović, Nebojša
AU  - Todorović, Kristina
AU  - Franović, Igor
PY  - 2020
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/3582
AB  - In present paper authors examined the effect of colored noise on the onset of seismic fault motion. For this purpose, they analyze the dynamics of spring-block model, with 10 all-to all coupled blocks. This spring-block model is considered as a collection of fault patches (with the increased rock friction), which are separated by the material bridges (more petrified parts of the fault). In the first phase of research, authors confirm the presence of autocorrelation in the background of seismic noise, using the measurement of real fault movement, and the recorded ground shaking before and after an earthquake. In the second stage of the research, authors firstly develop a mean-field model, which accurately enough describes the dynamics of a starting block model, with the introduced delayed interaction among the blocks, while colored noise is assumed to be generated by Ornstein-Uhlenbeck process. The results of the analysis indicate the existence of three different dynamical regimes, which correspond to three regimes of fault motion: steady stationary state, aseismic creep and seismic fault motion. The effect of colored noise lies in the possibility of generating the seismic fault motion even for small values of correlation time. Moreover, it is shown that the tight connection between the blocks, i.e. fault patches prevent the occurrence of seismic fault motion.
PB  - Elsevier
T2  - Chaos, Solitons and Fractals
T1  - EFFECT of colored noise on the generation of seismic fault MOVEMENT: Analogy with spring-block model DYNAMICS
VL  - 135
DO  - 10.1016/j.chaos.2020.109726
ER  - 
@article{
author = "Kostić, Srđan and Vasović, Nebojša and Todorović, Kristina and Franović, Igor",
year = "2020",
abstract = "In present paper authors examined the effect of colored noise on the onset of seismic fault motion. For this purpose, they analyze the dynamics of spring-block model, with 10 all-to all coupled blocks. This spring-block model is considered as a collection of fault patches (with the increased rock friction), which are separated by the material bridges (more petrified parts of the fault). In the first phase of research, authors confirm the presence of autocorrelation in the background of seismic noise, using the measurement of real fault movement, and the recorded ground shaking before and after an earthquake. In the second stage of the research, authors firstly develop a mean-field model, which accurately enough describes the dynamics of a starting block model, with the introduced delayed interaction among the blocks, while colored noise is assumed to be generated by Ornstein-Uhlenbeck process. The results of the analysis indicate the existence of three different dynamical regimes, which correspond to three regimes of fault motion: steady stationary state, aseismic creep and seismic fault motion. The effect of colored noise lies in the possibility of generating the seismic fault motion even for small values of correlation time. Moreover, it is shown that the tight connection between the blocks, i.e. fault patches prevent the occurrence of seismic fault motion.",
publisher = "Elsevier",
journal = "Chaos, Solitons and Fractals",
title = "EFFECT of colored noise on the generation of seismic fault MOVEMENT: Analogy with spring-block model DYNAMICS",
volume = "135",
doi = "10.1016/j.chaos.2020.109726"
}
Kostić, S., Vasović, N., Todorović, K.,& Franović, I.. (2020). EFFECT of colored noise on the generation of seismic fault MOVEMENT: Analogy with spring-block model DYNAMICS. in Chaos, Solitons and Fractals
Elsevier., 135.
https://doi.org/10.1016/j.chaos.2020.109726
Kostić S, Vasović N, Todorović K, Franović I. EFFECT of colored noise on the generation of seismic fault MOVEMENT: Analogy with spring-block model DYNAMICS. in Chaos, Solitons and Fractals. 2020;135.
doi:10.1016/j.chaos.2020.109726 .
Kostić, Srđan, Vasović, Nebojša, Todorović, Kristina, Franović, Igor, "EFFECT of colored noise on the generation of seismic fault MOVEMENT: Analogy with spring-block model DYNAMICS" in Chaos, Solitons and Fractals, 135 (2020),
https://doi.org/10.1016/j.chaos.2020.109726 . .
4
1
5

Nonlinear dynamics behind the seismic cycle: One-dimensional phenomenological modeling

Kostić, Srdan; Vasović, Nebojša; Todorović, Kristina; Franović, Igor

(Pergamon-Elsevier Science Ltd, Oxford, 2018)

TY  - JOUR
AU  - Kostić, Srdan
AU  - Vasović, Nebojša
AU  - Todorović, Kristina
AU  - Franović, Igor
PY  - 2018
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/3204
AB  - In present paper, authors examine the dynamics of a spring-slider model, considered as a phenomenological setup of a geological fault motion. Research is based on an assumption of delayed interaction between the two blocks, which is an idea that dates back to original Burridge-Knopoff model. In contrast to this first model, group of blocks on each side of transmission zone (with delayed interaction) is replaced by a single block. Results obtained indicate predominant impact of the introduced time delay, whose decrease leads to transition from steady state or aseismic creep to seismic regime, where each part of the seismic cycle (co-seismic, post-seismic and inter-seismic) could be recognized. In particular, for coupling strength of order 10 2 observed system exhibit inverse Andronov-Hopf bifurcation for very small value of time delay, tau approximate to 0.01, when long-period (T = 12) and high-amplitude oscillations occur. Further increase of time delay, of order 10(-1), induces an occurrence of a direct Andronov-Hopf bifurcation, with short-period (T = 0.5) oscillations of approximately ten times smaller amplitude. This reduction in time delay could be the consequence of the increase of temperature due to frictional heating, or due to decrease of pressure which follows the sudden movement along the fault. Analysis is conducted for the parameter values consistent with previous laboratory findings and geological observations relevant from the seismological viewpoint.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Chaos Solitons & Fractals
T1  - Nonlinear dynamics behind the seismic cycle: One-dimensional phenomenological modeling
VL  - 106
SP  - 310
EP  - 316
DO  - 10.1016/j.chaos.2017.11.037
ER  - 
@article{
author = "Kostić, Srdan and Vasović, Nebojša and Todorović, Kristina and Franović, Igor",
year = "2018",
abstract = "In present paper, authors examine the dynamics of a spring-slider model, considered as a phenomenological setup of a geological fault motion. Research is based on an assumption of delayed interaction between the two blocks, which is an idea that dates back to original Burridge-Knopoff model. In contrast to this first model, group of blocks on each side of transmission zone (with delayed interaction) is replaced by a single block. Results obtained indicate predominant impact of the introduced time delay, whose decrease leads to transition from steady state or aseismic creep to seismic regime, where each part of the seismic cycle (co-seismic, post-seismic and inter-seismic) could be recognized. In particular, for coupling strength of order 10 2 observed system exhibit inverse Andronov-Hopf bifurcation for very small value of time delay, tau approximate to 0.01, when long-period (T = 12) and high-amplitude oscillations occur. Further increase of time delay, of order 10(-1), induces an occurrence of a direct Andronov-Hopf bifurcation, with short-period (T = 0.5) oscillations of approximately ten times smaller amplitude. This reduction in time delay could be the consequence of the increase of temperature due to frictional heating, or due to decrease of pressure which follows the sudden movement along the fault. Analysis is conducted for the parameter values consistent with previous laboratory findings and geological observations relevant from the seismological viewpoint.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Chaos Solitons & Fractals",
title = "Nonlinear dynamics behind the seismic cycle: One-dimensional phenomenological modeling",
volume = "106",
pages = "310-316",
doi = "10.1016/j.chaos.2017.11.037"
}
Kostić, S., Vasović, N., Todorović, K.,& Franović, I.. (2018). Nonlinear dynamics behind the seismic cycle: One-dimensional phenomenological modeling. in Chaos Solitons & Fractals
Pergamon-Elsevier Science Ltd, Oxford., 106, 310-316.
https://doi.org/10.1016/j.chaos.2017.11.037
Kostić S, Vasović N, Todorović K, Franović I. Nonlinear dynamics behind the seismic cycle: One-dimensional phenomenological modeling. in Chaos Solitons & Fractals. 2018;106:310-316.
doi:10.1016/j.chaos.2017.11.037 .
Kostić, Srdan, Vasović, Nebojša, Todorović, Kristina, Franović, Igor, "Nonlinear dynamics behind the seismic cycle: One-dimensional phenomenological modeling" in Chaos Solitons & Fractals, 106 (2018):310-316,
https://doi.org/10.1016/j.chaos.2017.11.037 . .
3
1

Dynamics of fault motion in a stochastic spring-slider model with varying neighboring interactions and time-delayed coupling

Kostić, Srdan; Vasović, Nebojša; Franović, Igor; Todorović, Kristina; Klinshov, Vladimir; Nekorkin, Vladimir

(Springer, Dordrecht, 2017)

TY  - JOUR
AU  - Kostić, Srdan
AU  - Vasović, Nebojša
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Klinshov, Vladimir
AU  - Nekorkin, Vladimir
PY  - 2017
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2951
AB  - We examine dynamics of a fault motion by analyzing behavior of a spring-slider model composed of 100 blocks where each block is coupled to a varying number of 2K neighboring units (1 2K N, ). Dynamics of such model is studied under the effect of delayed interaction, variable coupling strength and random seismic noise. The qualitative analysis of stability and bifurcations is carried out by deriving an approximate deterministic mean-field model, which is demonstrated to accurately capture the dynamics of the original stochastic system. The primary effect concerns the direct supercritical Andronov-Hopf bifurcation, which underlies transition from equilibrium state to periodic oscillations under the variation of coupling delay. Nevertheless, the impact of delayed interactions is shown to depend on the coupling strength and the friction force. In particular, for loosely coupled blocks and low values of friction, observed system does not exhibit any bifurcation, regardless of the assumed noise amplitude in the expected range of values. It is also suggested that a group of blocks with the largest displacements, which exhibit nearly regular periodic oscillations analogous to coseismic motion for system parameters just above the bifurcation curve, can be treated as a representative of an earthquake hypocenter. In this case, the distribution of event magnitudes, defined as a natural logarithm of a sum of squared displacements, is found to correspond well to periodic (characteristic) earthquake model.
PB  - Springer, Dordrecht
T2  - Nonlinear Dynamics
T1  - Dynamics of fault motion in a stochastic spring-slider model with varying neighboring interactions and time-delayed coupling
VL  - 87
IS  - 4
SP  - 2563
EP  - 2575
DO  - 10.1007/s11071-016-3211-5
ER  - 
@article{
author = "Kostić, Srdan and Vasović, Nebojša and Franović, Igor and Todorović, Kristina and Klinshov, Vladimir and Nekorkin, Vladimir",
year = "2017",
abstract = "We examine dynamics of a fault motion by analyzing behavior of a spring-slider model composed of 100 blocks where each block is coupled to a varying number of 2K neighboring units (1 2K N, ). Dynamics of such model is studied under the effect of delayed interaction, variable coupling strength and random seismic noise. The qualitative analysis of stability and bifurcations is carried out by deriving an approximate deterministic mean-field model, which is demonstrated to accurately capture the dynamics of the original stochastic system. The primary effect concerns the direct supercritical Andronov-Hopf bifurcation, which underlies transition from equilibrium state to periodic oscillations under the variation of coupling delay. Nevertheless, the impact of delayed interactions is shown to depend on the coupling strength and the friction force. In particular, for loosely coupled blocks and low values of friction, observed system does not exhibit any bifurcation, regardless of the assumed noise amplitude in the expected range of values. It is also suggested that a group of blocks with the largest displacements, which exhibit nearly regular periodic oscillations analogous to coseismic motion for system parameters just above the bifurcation curve, can be treated as a representative of an earthquake hypocenter. In this case, the distribution of event magnitudes, defined as a natural logarithm of a sum of squared displacements, is found to correspond well to periodic (characteristic) earthquake model.",
publisher = "Springer, Dordrecht",
journal = "Nonlinear Dynamics",
title = "Dynamics of fault motion in a stochastic spring-slider model with varying neighboring interactions and time-delayed coupling",
volume = "87",
number = "4",
pages = "2563-2575",
doi = "10.1007/s11071-016-3211-5"
}
Kostić, S., Vasović, N., Franović, I., Todorović, K., Klinshov, V.,& Nekorkin, V.. (2017). Dynamics of fault motion in a stochastic spring-slider model with varying neighboring interactions and time-delayed coupling. in Nonlinear Dynamics
Springer, Dordrecht., 87(4), 2563-2575.
https://doi.org/10.1007/s11071-016-3211-5
Kostić S, Vasović N, Franović I, Todorović K, Klinshov V, Nekorkin V. Dynamics of fault motion in a stochastic spring-slider model with varying neighboring interactions and time-delayed coupling. in Nonlinear Dynamics. 2017;87(4):2563-2575.
doi:10.1007/s11071-016-3211-5 .
Kostić, Srdan, Vasović, Nebojša, Franović, Igor, Todorović, Kristina, Klinshov, Vladimir, Nekorkin, Vladimir, "Dynamics of fault motion in a stochastic spring-slider model with varying neighboring interactions and time-delayed coupling" in Nonlinear Dynamics, 87, no. 4 (2017):2563-2575,
https://doi.org/10.1007/s11071-016-3211-5 . .
4
2
5

Mean Field Dynamics of Networks of Delay-coupled Noisy Excitable Units

Franović, Igor; Todorović, Kristina; Vasović, Nebojša; Burić, Nikola

(Amer Inst Physics, Melville, 2016)

TY  - CONF
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
AU  - Burić, Nikola
PY  - 2016
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2665
AB  - We use the mean-field approach to analyze the collective dynamics in macroscopic networks of stochastic Fitzhugh-Nagumo units with delayed couplings. The conditions for validity of the two main approximations behind the model, called the Gaussian approximation and the Quasi-independence approximation, are examined. It is shown that the dynamics of the mean-field model may indicate in a self-consistent fashion the parameter domains where the Quasi-independence approximation fails. Apart from a network of globally coupled units, we also consider the paradigmatic setup of two interacting assemblies to demonstrate how our framework may be extended to hierarchical and modular networks. In both cases, the mean-field model can be used to qualitatively analyze the stability of the system, as well as the scenarios for the onset and the suppression of the collective mode. In quantitative terms, the mean-field model is capable of predicting the average oscillation frequency corresponding to the global variables of the exact system.
PB  - Amer Inst Physics, Melville
C3  - Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2015 Proce
T1  - Mean Field Dynamics of Networks of Delay-coupled Noisy Excitable Units
VL  - 1738
DO  - 10.1063/1.4951987
ER  - 
@conference{
author = "Franović, Igor and Todorović, Kristina and Vasović, Nebojša and Burić, Nikola",
year = "2016",
abstract = "We use the mean-field approach to analyze the collective dynamics in macroscopic networks of stochastic Fitzhugh-Nagumo units with delayed couplings. The conditions for validity of the two main approximations behind the model, called the Gaussian approximation and the Quasi-independence approximation, are examined. It is shown that the dynamics of the mean-field model may indicate in a self-consistent fashion the parameter domains where the Quasi-independence approximation fails. Apart from a network of globally coupled units, we also consider the paradigmatic setup of two interacting assemblies to demonstrate how our framework may be extended to hierarchical and modular networks. In both cases, the mean-field model can be used to qualitatively analyze the stability of the system, as well as the scenarios for the onset and the suppression of the collective mode. In quantitative terms, the mean-field model is capable of predicting the average oscillation frequency corresponding to the global variables of the exact system.",
publisher = "Amer Inst Physics, Melville",
journal = "Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2015 Proce",
title = "Mean Field Dynamics of Networks of Delay-coupled Noisy Excitable Units",
volume = "1738",
doi = "10.1063/1.4951987"
}
Franović, I., Todorović, K., Vasović, N.,& Burić, N.. (2016). Mean Field Dynamics of Networks of Delay-coupled Noisy Excitable Units. in Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2015 Proce
Amer Inst Physics, Melville., 1738.
https://doi.org/10.1063/1.4951987
Franović I, Todorović K, Vasović N, Burić N. Mean Field Dynamics of Networks of Delay-coupled Noisy Excitable Units. in Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2015 Proce. 2016;1738.
doi:10.1063/1.4951987 .
Franović, Igor, Todorović, Kristina, Vasović, Nebojša, Burić, Nikola, "Mean Field Dynamics of Networks of Delay-coupled Noisy Excitable Units" in Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2015 Proce, 1738 (2016),
https://doi.org/10.1063/1.4951987 . .

Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays

Vasović, Nebojša; Kostić, Srdan; Franović, Igor; Todorović, Kristina

(Elsevier Science BV, Amsterdam, 2016)

TY  - JOUR
AU  - Vasović, Nebojša
AU  - Kostić, Srdan
AU  - Franović, Igor
AU  - Todorović, Kristina
PY  - 2016
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2598
AB  - In present paper we analyze dynamics of fault motion by considering delayed interaction of 100 all-to-all coupled blocks with rate-dependent friction law in presence of random seismic noise. Such a model sufficiently well describes a real fault motion, whose prevailing stochastic nature is implied by surrogate data analysis of available GPS measurements of active fault movement. Interaction of blocks in an analyzed model is studied as a function of time delay, observed both for dynamics of individual faults and phenomenological models. Analyzed model is examined as a system of all-to-all coupled blocks according to typical assumption of compound faults as complex of globally coupled segments. We apply numerical methods to show that there are local bifurcations from equilibrium state to periodic oscillations, with an occurrence of irregular aperiodic behavior when initial conditions are set away from the equilibrium point. Such a behavior indicates a possible existence of a bi-stable dynamical regime, due to effect of the introduced seismic noise or the existence of global attractor. The latter assumption is additionally confirmed by analyzing the corresponding mean-field approximated model. In this bi-stable regime, distribution of event magnitudes follows Gutenberg-Richter power law with satisfying statistical accuracy, including the b-value within the real observed range.
PB  - Elsevier Science BV, Amsterdam
T2  - Communications in Nonlinear Science and Numerical Simulation
T1  - Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays
VL  - 38
SP  - 117
EP  - 129
DO  - 10.1016/j.cnsns.2016.02.011
ER  - 
@article{
author = "Vasović, Nebojša and Kostić, Srdan and Franović, Igor and Todorović, Kristina",
year = "2016",
abstract = "In present paper we analyze dynamics of fault motion by considering delayed interaction of 100 all-to-all coupled blocks with rate-dependent friction law in presence of random seismic noise. Such a model sufficiently well describes a real fault motion, whose prevailing stochastic nature is implied by surrogate data analysis of available GPS measurements of active fault movement. Interaction of blocks in an analyzed model is studied as a function of time delay, observed both for dynamics of individual faults and phenomenological models. Analyzed model is examined as a system of all-to-all coupled blocks according to typical assumption of compound faults as complex of globally coupled segments. We apply numerical methods to show that there are local bifurcations from equilibrium state to periodic oscillations, with an occurrence of irregular aperiodic behavior when initial conditions are set away from the equilibrium point. Such a behavior indicates a possible existence of a bi-stable dynamical regime, due to effect of the introduced seismic noise or the existence of global attractor. The latter assumption is additionally confirmed by analyzing the corresponding mean-field approximated model. In this bi-stable regime, distribution of event magnitudes follows Gutenberg-Richter power law with satisfying statistical accuracy, including the b-value within the real observed range.",
publisher = "Elsevier Science BV, Amsterdam",
journal = "Communications in Nonlinear Science and Numerical Simulation",
title = "Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays",
volume = "38",
pages = "117-129",
doi = "10.1016/j.cnsns.2016.02.011"
}
Vasović, N., Kostić, S., Franović, I.,& Todorović, K.. (2016). Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays. in Communications in Nonlinear Science and Numerical Simulation
Elsevier Science BV, Amsterdam., 38, 117-129.
https://doi.org/10.1016/j.cnsns.2016.02.011
Vasović N, Kostić S, Franović I, Todorović K. Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays. in Communications in Nonlinear Science and Numerical Simulation. 2016;38:117-129.
doi:10.1016/j.cnsns.2016.02.011 .
Vasović, Nebojša, Kostić, Srdan, Franović, Igor, Todorović, Kristina, "Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays" in Communications in Nonlinear Science and Numerical Simulation, 38 (2016):117-129,
https://doi.org/10.1016/j.cnsns.2016.02.011 . .
10
6
11

Assessment of Blast Induced Ground Vibrations by Artificial Neural Network

Kostić, Srđan; Vasović, Nebojša; Franović, Igor; Samčović, Andreja; Todorović, Kristina

(Institute of Electrical and Electronics Engineers Inc., 2015)

TY  - CONF
AU  - Kostić, Srđan
AU  - Vasović, Nebojša
AU  - Franović, Igor
AU  - Samčović, Andreja
AU  - Todorović, Kristina
PY  - 2015
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2501
AB  - Blast-induced ground motion is analyzed by means of two prediction methods. First conventional approach assumes several types of nonlinear dependence of peak particle velocity on scaled distance from the explosion charge, while the second technique implements a feed-forward three-layer back-propagation neural network with three nodes in input layer (total charge, maximum charge per delay and distance from explosive charge to monitoring point) and only one node in output layer (peak particle velocity). As a result, traditional predictors give acceptable prediction accuracy (r>0.7) when compared with registered values of peak particle velocity. Regarding the forecasting accuracy estimated by neural network, model with nine hidden nodes gives reasonable predictive precision (r>0.9), with much lower standard error in comparison to conventional predictors.
PB  - Institute of Electrical and Electronics Engineers Inc.
C3  - 12th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2014 - Proceedings
T1  - Assessment of Blast Induced Ground Vibrations by Artificial Neural Network
SP  - 55
EP  - 60
DO  - 10.1109/NEUREL.2014.7011458
ER  - 
@conference{
author = "Kostić, Srđan and Vasović, Nebojša and Franović, Igor and Samčović, Andreja and Todorović, Kristina",
year = "2015",
abstract = "Blast-induced ground motion is analyzed by means of two prediction methods. First conventional approach assumes several types of nonlinear dependence of peak particle velocity on scaled distance from the explosion charge, while the second technique implements a feed-forward three-layer back-propagation neural network with three nodes in input layer (total charge, maximum charge per delay and distance from explosive charge to monitoring point) and only one node in output layer (peak particle velocity). As a result, traditional predictors give acceptable prediction accuracy (r>0.7) when compared with registered values of peak particle velocity. Regarding the forecasting accuracy estimated by neural network, model with nine hidden nodes gives reasonable predictive precision (r>0.9), with much lower standard error in comparison to conventional predictors.",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
journal = "12th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2014 - Proceedings",
title = "Assessment of Blast Induced Ground Vibrations by Artificial Neural Network",
pages = "55-60",
doi = "10.1109/NEUREL.2014.7011458"
}
Kostić, S., Vasović, N., Franović, I., Samčović, A.,& Todorović, K.. (2015). Assessment of Blast Induced Ground Vibrations by Artificial Neural Network. in 12th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2014 - Proceedings
Institute of Electrical and Electronics Engineers Inc.., 55-60.
https://doi.org/10.1109/NEUREL.2014.7011458
Kostić S, Vasović N, Franović I, Samčović A, Todorović K. Assessment of Blast Induced Ground Vibrations by Artificial Neural Network. in 12th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2014 - Proceedings. 2015;:55-60.
doi:10.1109/NEUREL.2014.7011458 .
Kostić, Srđan, Vasović, Nebojša, Franović, Igor, Samčović, Andreja, Todorović, Kristina, "Assessment of Blast Induced Ground Vibrations by Artificial Neural Network" in 12th Symposium on Neural Network Applications in Electrical Engineering, NEUREL 2014 - Proceedings (2015):55-60,
https://doi.org/10.1109/NEUREL.2014.7011458 . .
2
1
3

Complex Dynamics of Landslides with Time Delay Under External Seismic Triggering Effect

Kostić, Srdan; Vasović, Nebojša; Jevremović, Dragutin; Sunarić, Duško; Franović, Igor; Todorović, Kristina

(Springer Int Publishing Ag, Cham, 2015)

TY  - CONF
AU  - Kostić, Srdan
AU  - Vasović, Nebojša
AU  - Jevremović, Dragutin
AU  - Sunarić, Duško
AU  - Franović, Igor
AU  - Todorović, Kristina
PY  - 2015
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2449
AB  - In present paper, model of infinite creeping slope with Dieterich-Ruina rate-and state-dependent friction law is analyzed using methods of nonlinear dynamics. The model is examined under the variation of two parameters: time delay t(d) and initial shear stress s(0). Time delay describes the memory effect of the sliding surface and it is generally considered as a function of history of sliding. Initial stress parameter is periodically perturbed, corresponding to long duration shear seismic wave, or it could be generated by non-natural sources such as traffic vibrations. The co-action of the observed parameters is estimated for two different regimes of sliding, namely beta  lt  1 and beta > 1, where beta denotes the ratio of long-term to short-term (immediate) stress change. The results of the analysis indicate that the most complex dynamics occurs for beta  lt  1, when a possible Ruelle-Takens-Newhouse route to chaos is observed, with a transition from equilibrium state, through periodic and quasiperiodic motion to deterministic chaos. For beta > 1, system exhibits chaotic dynamics for t(d) = 0.1 and for delta(s)  lt = 0.18. These results correspond well with the previous experimental observations on clay and siltstone with low clay fraction, indicating that the motion along the sliding surface is velocity-strengthening (beta  lt  1).
PB  - Springer Int Publishing Ag, Cham
C3  - Engineering Geology for Society and Territory, Vol 2: Landslide Processes
T1  - Complex Dynamics of Landslides with Time Delay Under External Seismic Triggering Effect
SP  - 1353
EP  - 1356
DO  - 10.1007/978-3-319-09057-3_238
ER  - 
@conference{
author = "Kostić, Srdan and Vasović, Nebojša and Jevremović, Dragutin and Sunarić, Duško and Franović, Igor and Todorović, Kristina",
year = "2015",
abstract = "In present paper, model of infinite creeping slope with Dieterich-Ruina rate-and state-dependent friction law is analyzed using methods of nonlinear dynamics. The model is examined under the variation of two parameters: time delay t(d) and initial shear stress s(0). Time delay describes the memory effect of the sliding surface and it is generally considered as a function of history of sliding. Initial stress parameter is periodically perturbed, corresponding to long duration shear seismic wave, or it could be generated by non-natural sources such as traffic vibrations. The co-action of the observed parameters is estimated for two different regimes of sliding, namely beta  lt  1 and beta > 1, where beta denotes the ratio of long-term to short-term (immediate) stress change. The results of the analysis indicate that the most complex dynamics occurs for beta  lt  1, when a possible Ruelle-Takens-Newhouse route to chaos is observed, with a transition from equilibrium state, through periodic and quasiperiodic motion to deterministic chaos. For beta > 1, system exhibits chaotic dynamics for t(d) = 0.1 and for delta(s)  lt = 0.18. These results correspond well with the previous experimental observations on clay and siltstone with low clay fraction, indicating that the motion along the sliding surface is velocity-strengthening (beta  lt  1).",
publisher = "Springer Int Publishing Ag, Cham",
journal = "Engineering Geology for Society and Territory, Vol 2: Landslide Processes",
title = "Complex Dynamics of Landslides with Time Delay Under External Seismic Triggering Effect",
pages = "1353-1356",
doi = "10.1007/978-3-319-09057-3_238"
}
Kostić, S., Vasović, N., Jevremović, D., Sunarić, D., Franović, I.,& Todorović, K.. (2015). Complex Dynamics of Landslides with Time Delay Under External Seismic Triggering Effect. in Engineering Geology for Society and Territory, Vol 2: Landslide Processes
Springer Int Publishing Ag, Cham., 1353-1356.
https://doi.org/10.1007/978-3-319-09057-3_238
Kostić S, Vasović N, Jevremović D, Sunarić D, Franović I, Todorović K. Complex Dynamics of Landslides with Time Delay Under External Seismic Triggering Effect. in Engineering Geology for Society and Territory, Vol 2: Landslide Processes. 2015;:1353-1356.
doi:10.1007/978-3-319-09057-3_238 .
Kostić, Srdan, Vasović, Nebojša, Jevremović, Dragutin, Sunarić, Duško, Franović, Igor, Todorović, Kristina, "Complex Dynamics of Landslides with Time Delay Under External Seismic Triggering Effect" in Engineering Geology for Society and Territory, Vol 2: Landslide Processes (2015):1353-1356,
https://doi.org/10.1007/978-3-319-09057-3_238 . .

Activation process in excitable systems with multiple noise sources: One and two interacting units

Franović, Igor; Todorović, Kristina; Perc, Matjaz; Vasović, Nebojša; Burić, Nikola

(Amer Physical Soc, College Pk, 2015)

TY  - JOUR
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Perc, Matjaz
AU  - Vasović, Nebojša
AU  - Burić, Nikola
PY  - 2015
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2311
AB  - We consider the coaction of two distinct noise sources on the activation process of a single excitable unit and two interacting excitable units, which are mathematically described by the Fitzhugh-Nagumo equations. We determine the most probable activation paths around which the corresponding stochastic trajectories are clustered. The key point lies in introducing appropriate boundary conditions that are relevant for a class II excitable unit, which can be immediately generalized also to scenarios involving two coupled units. We analyze the effects of the two noise sources on the statistical features of the activation process, in particular demonstrating how these are modified due to the linear or nonlinear form of interactions. Universal properties of the activation process are qualitatively discussed in the light of a stochastic bifurcation that underlies the transition from a stochastically stable fixed point to continuous oscillations.
PB  - Amer Physical Soc, College Pk
T2  - Physical Review E
T1  - Activation process in excitable systems with multiple noise sources: One and two interacting units
VL  - 92
IS  - 6
DO  - 10.1103/PhysRevE.92.062911
ER  - 
@article{
author = "Franović, Igor and Todorović, Kristina and Perc, Matjaz and Vasović, Nebojša and Burić, Nikola",
year = "2015",
abstract = "We consider the coaction of two distinct noise sources on the activation process of a single excitable unit and two interacting excitable units, which are mathematically described by the Fitzhugh-Nagumo equations. We determine the most probable activation paths around which the corresponding stochastic trajectories are clustered. The key point lies in introducing appropriate boundary conditions that are relevant for a class II excitable unit, which can be immediately generalized also to scenarios involving two coupled units. We analyze the effects of the two noise sources on the statistical features of the activation process, in particular demonstrating how these are modified due to the linear or nonlinear form of interactions. Universal properties of the activation process are qualitatively discussed in the light of a stochastic bifurcation that underlies the transition from a stochastically stable fixed point to continuous oscillations.",
publisher = "Amer Physical Soc, College Pk",
journal = "Physical Review E",
title = "Activation process in excitable systems with multiple noise sources: One and two interacting units",
volume = "92",
number = "6",
doi = "10.1103/PhysRevE.92.062911"
}
Franović, I., Todorović, K., Perc, M., Vasović, N.,& Burić, N.. (2015). Activation process in excitable systems with multiple noise sources: One and two interacting units. in Physical Review E
Amer Physical Soc, College Pk., 92(6).
https://doi.org/10.1103/PhysRevE.92.062911
Franović I, Todorović K, Perc M, Vasović N, Burić N. Activation process in excitable systems with multiple noise sources: One and two interacting units. in Physical Review E. 2015;92(6).
doi:10.1103/PhysRevE.92.062911 .
Franović, Igor, Todorović, Kristina, Perc, Matjaz, Vasović, Nebojša, Burić, Nikola, "Activation process in excitable systems with multiple noise sources: One and two interacting units" in Physical Review E, 92, no. 6 (2015),
https://doi.org/10.1103/PhysRevE.92.062911 . .
1
41
29
37

Activation process in excitable systems with multiple noise sources: Large number of units

Franović, Igor; Perc, Matjaz; Todorović, Kristina; Kostić, Srđan; Burić, Nikola

(Amer Physical Soc, College Pk, 2015)

TY  - JOUR
AU  - Franović, Igor
AU  - Perc, Matjaz
AU  - Todorović, Kristina
AU  - Kostić, Srđan
AU  - Burić, Nikola
PY  - 2015
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2309
AB  - We study the activation process in large assemblies of type II excitable units whose dynamics is influenced by two independent noise terms. The mean-field approach is applied to explicitly demonstrate that the assembly of excitable units can itself exhibit macroscopic excitable behavior. In order to facilitate the comparison between the excitable dynamics of a single unit and an assembly, we introduce three distinct formulations of the assembly activation event. Each formulation treats different aspects of the relevant phenomena, including the thresholdlike behavior and the role of coherence of individual spikes. Statistical properties of the assembly activation process, such as the mean time-to-first pulse and the associated coefficient of variation, are found to be qualitatively analogous for all three formulations, as well as to resemble the results for a single unit. These analogies are shown to derive from the fact that global variables undergo a stochastic bifurcation from the stochastically stable fixed point to continuous oscillations. Local activation processes are analyzed in the light of the competition between the noise-led and the relaxation-driven dynamics. We also briefly report on a system-size antiresonant effect displayed by the mean time-to-first pulse.
PB  - Amer Physical Soc, College Pk
T2  - Physical Review E
T1  - Activation process in excitable systems with multiple noise sources: Large number of units
VL  - 92
IS  - 6
DO  - 10.1103/PhysRevE.92.062912
ER  - 
@article{
author = "Franović, Igor and Perc, Matjaz and Todorović, Kristina and Kostić, Srđan and Burić, Nikola",
year = "2015",
abstract = "We study the activation process in large assemblies of type II excitable units whose dynamics is influenced by two independent noise terms. The mean-field approach is applied to explicitly demonstrate that the assembly of excitable units can itself exhibit macroscopic excitable behavior. In order to facilitate the comparison between the excitable dynamics of a single unit and an assembly, we introduce three distinct formulations of the assembly activation event. Each formulation treats different aspects of the relevant phenomena, including the thresholdlike behavior and the role of coherence of individual spikes. Statistical properties of the assembly activation process, such as the mean time-to-first pulse and the associated coefficient of variation, are found to be qualitatively analogous for all three formulations, as well as to resemble the results for a single unit. These analogies are shown to derive from the fact that global variables undergo a stochastic bifurcation from the stochastically stable fixed point to continuous oscillations. Local activation processes are analyzed in the light of the competition between the noise-led and the relaxation-driven dynamics. We also briefly report on a system-size antiresonant effect displayed by the mean time-to-first pulse.",
publisher = "Amer Physical Soc, College Pk",
journal = "Physical Review E",
title = "Activation process in excitable systems with multiple noise sources: Large number of units",
volume = "92",
number = "6",
doi = "10.1103/PhysRevE.92.062912"
}
Franović, I., Perc, M., Todorović, K., Kostić, S.,& Burić, N.. (2015). Activation process in excitable systems with multiple noise sources: Large number of units. in Physical Review E
Amer Physical Soc, College Pk., 92(6).
https://doi.org/10.1103/PhysRevE.92.062912
Franović I, Perc M, Todorović K, Kostić S, Burić N. Activation process in excitable systems with multiple noise sources: Large number of units. in Physical Review E. 2015;92(6).
doi:10.1103/PhysRevE.92.062912 .
Franović, Igor, Perc, Matjaz, Todorović, Kristina, Kostić, Srđan, Burić, Nikola, "Activation process in excitable systems with multiple noise sources: Large number of units" in Physical Review E, 92, no. 6 (2015),
https://doi.org/10.1103/PhysRevE.92.062912 . .
1
36
28
30

Triggered dynamics in a model of different fault creep regimes

Kostić, Srdan; Franović, Igor; Perc, Matjaz; Vasović, Nebojša; Todorović, Kristina

(Nature Publishing Group, London, 2014)

TY  - JOUR
AU  - Kostić, Srdan
AU  - Franović, Igor
AU  - Perc, Matjaz
AU  - Vasović, Nebojša
AU  - Todorović, Kristina
PY  - 2014
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2206
AB  - The study is focused on the effect of transient external force induced by a passing seismic wave on fault motion in different creep regimes. Displacement along the fault is represented by the movement of a spring-block model, whereby the uniform and oscillatory motion correspond to the fault dynamics in post-seismic and inter-seismic creep regime, respectively. The effect of the external force is introduced as a change of block acceleration in the form of a sine wave scaled by an exponential pulse. Model dynamics is examined for variable parameters of the induced acceleration changes in reference to periodic oscillations of the unperturbed system above the supercritical Hopf bifurcation curve. The analysis indicates the occurrence of weak irregular oscillations if external force acts in the post-seismic creep regime. When fault motion is exposed to external force in the inter-seismic creep regime, one finds the transition to quasiperiodic-or chaos-like motion, which we attribute to the precursory creep regime and seismic motion, respectively. If the triggered acceleration changes are of longer duration, a reverse transition from inter-seismic to post-seismic creep regime is detected on a larger time scale.
PB  - Nature Publishing Group, London
T2  - Scientific World Journal
T1  - Triggered dynamics in a model of different fault creep regimes
VL  - 4
DO  - 10.1038/srep05401
ER  - 
@article{
author = "Kostić, Srdan and Franović, Igor and Perc, Matjaz and Vasović, Nebojša and Todorović, Kristina",
year = "2014",
abstract = "The study is focused on the effect of transient external force induced by a passing seismic wave on fault motion in different creep regimes. Displacement along the fault is represented by the movement of a spring-block model, whereby the uniform and oscillatory motion correspond to the fault dynamics in post-seismic and inter-seismic creep regime, respectively. The effect of the external force is introduced as a change of block acceleration in the form of a sine wave scaled by an exponential pulse. Model dynamics is examined for variable parameters of the induced acceleration changes in reference to periodic oscillations of the unperturbed system above the supercritical Hopf bifurcation curve. The analysis indicates the occurrence of weak irregular oscillations if external force acts in the post-seismic creep regime. When fault motion is exposed to external force in the inter-seismic creep regime, one finds the transition to quasiperiodic-or chaos-like motion, which we attribute to the precursory creep regime and seismic motion, respectively. If the triggered acceleration changes are of longer duration, a reverse transition from inter-seismic to post-seismic creep regime is detected on a larger time scale.",
publisher = "Nature Publishing Group, London",
journal = "Scientific World Journal",
title = "Triggered dynamics in a model of different fault creep regimes",
volume = "4",
doi = "10.1038/srep05401"
}
Kostić, S., Franović, I., Perc, M., Vasović, N.,& Todorović, K.. (2014). Triggered dynamics in a model of different fault creep regimes. in Scientific World Journal
Nature Publishing Group, London., 4.
https://doi.org/10.1038/srep05401
Kostić S, Franović I, Perc M, Vasović N, Todorović K. Triggered dynamics in a model of different fault creep regimes. in Scientific World Journal. 2014;4.
doi:10.1038/srep05401 .
Kostić, Srdan, Franović, Igor, Perc, Matjaz, Vasović, Nebojša, Todorović, Kristina, "Triggered dynamics in a model of different fault creep regimes" in Scientific World Journal, 4 (2014),
https://doi.org/10.1038/srep05401 . .
18
15
17

Complex Dynamics of Spring-Block Earthquake Model Under Periodic Parameter Perturbations

Kostić, Srdan; Vasović, Nebojša; Franović, Igor; Todorović, Kristina

(Asme, New York, 2014)

TY  - JOUR
AU  - Kostić, Srdan
AU  - Vasović, Nebojša
AU  - Franović, Igor
AU  - Todorović, Kristina
PY  - 2014
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2193
AB  - A simple model of earthquake nucleation that may account for the onset of chaotic dynamics is proposed and analyzed. It represents a generalization of the Burridge-Knopoff single-block model with Dieterich-Ruina's rate-and state-dependent friction law. It is demonstrated that deterministic chaos may emerge when some of the parameters are assumed to undergo small oscillations about their equilibrium values. Implementing the standard numerical methods from the theory of dynamical systems, the analysis is carried out for the cases having one or two periodically variable parameters, such that the appropriate bifurcation diagrams, phase portraits, power spectra, and the Lyapunov exponents are obtained. The results of analysis indicate two different scenarios to chaos. On one side, the Ruelle-Takens-Newhouse route to chaos is observed for the cases of limit amplitude perturbations. On the other side, when the angular frequency is assumed constant for the value near the periodic motion of the block in an unperturbed case, variation of oscillation amplitudes probably gives rise to global bifurcations, with immediate occurrence of chaotic behavior. Further analysis shows that chaotic behavior emerges only for small oscillation frequencies and higher perturbation amplitudes when two perturbed parameters are brought into play. If higher oscillation frequencies are assumed, no bifurcation occurs, and the system under study exhibits only the periodic motion. In contrast to the previous research, the onset of chaos is observed for much smaller values of the stress ratio parameter. In other words, even the relatively small perturbations of the control parameters could lead to deterministic chaos and, thus, to instabilities and earthquakes.
PB  - Asme, New York
T2  - Journal of Computational and Nonlinear Dynamics
T1  - Complex Dynamics of Spring-Block Earthquake Model Under Periodic Parameter Perturbations
VL  - 9
IS  - 3
DO  - 10.1115/1.4026259
ER  - 
@article{
author = "Kostić, Srdan and Vasović, Nebojša and Franović, Igor and Todorović, Kristina",
year = "2014",
abstract = "A simple model of earthquake nucleation that may account for the onset of chaotic dynamics is proposed and analyzed. It represents a generalization of the Burridge-Knopoff single-block model with Dieterich-Ruina's rate-and state-dependent friction law. It is demonstrated that deterministic chaos may emerge when some of the parameters are assumed to undergo small oscillations about their equilibrium values. Implementing the standard numerical methods from the theory of dynamical systems, the analysis is carried out for the cases having one or two periodically variable parameters, such that the appropriate bifurcation diagrams, phase portraits, power spectra, and the Lyapunov exponents are obtained. The results of analysis indicate two different scenarios to chaos. On one side, the Ruelle-Takens-Newhouse route to chaos is observed for the cases of limit amplitude perturbations. On the other side, when the angular frequency is assumed constant for the value near the periodic motion of the block in an unperturbed case, variation of oscillation amplitudes probably gives rise to global bifurcations, with immediate occurrence of chaotic behavior. Further analysis shows that chaotic behavior emerges only for small oscillation frequencies and higher perturbation amplitudes when two perturbed parameters are brought into play. If higher oscillation frequencies are assumed, no bifurcation occurs, and the system under study exhibits only the periodic motion. In contrast to the previous research, the onset of chaos is observed for much smaller values of the stress ratio parameter. In other words, even the relatively small perturbations of the control parameters could lead to deterministic chaos and, thus, to instabilities and earthquakes.",
publisher = "Asme, New York",
journal = "Journal of Computational and Nonlinear Dynamics",
title = "Complex Dynamics of Spring-Block Earthquake Model Under Periodic Parameter Perturbations",
volume = "9",
number = "3",
doi = "10.1115/1.4026259"
}
Kostić, S., Vasović, N., Franović, I.,& Todorović, K.. (2014). Complex Dynamics of Spring-Block Earthquake Model Under Periodic Parameter Perturbations. in Journal of Computational and Nonlinear Dynamics
Asme, New York., 9(3).
https://doi.org/10.1115/1.4026259
Kostić S, Vasović N, Franović I, Todorović K. Complex Dynamics of Spring-Block Earthquake Model Under Periodic Parameter Perturbations. in Journal of Computational and Nonlinear Dynamics. 2014;9(3).
doi:10.1115/1.4026259 .
Kostić, Srdan, Vasović, Nebojša, Franović, Igor, Todorović, Kristina, "Complex Dynamics of Spring-Block Earthquake Model Under Periodic Parameter Perturbations" in Journal of Computational and Nonlinear Dynamics, 9, no. 3 (2014),
https://doi.org/10.1115/1.4026259 . .
5
1
5

Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units

Franović, Igor; Todorović, Kristina; Vasović, Nebojša; Burić, Nikola

(Amer Physical Soc, College Pk, 2014)

TY  - JOUR
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
AU  - Burić, Nikola
PY  - 2014
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2181
AB  - We consider the approximations behind the typical mean-field model derived for a class of systems made up of type II excitable units influenced by noise and coupling delays. The formulation of the two approximations, referred to as the Gaussian and the quasi-independence approximation, as well as the fashion in which their validity is verified, are adapted to reflect the essential properties of the underlying system. It is demonstrated that the failure of the mean-field model associated with the breakdown of the quasi-independence approximation can be predicted by the noise-induced bistability in the dynamics of the mean-field system. As for the Gaussian approximation, its violation is related to the increase of noise intensity, but the actual condition for failure can be cast in qualitative, rather than quantitative terms. We also discuss how the fulfillment of the mean-field approximations affects the statistics of the first return times for the local and global variables, further exploring the link between the fulfillment of the quasi-independence approximation and certain forms of synchronization between the individual units.
PB  - Amer Physical Soc, College Pk
T2  - Physical Review E
T1  - Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units
VL  - 89
IS  - 2
DO  - 10.1103/PhysRevE.89.022926
ER  - 
@article{
author = "Franović, Igor and Todorović, Kristina and Vasović, Nebojša and Burić, Nikola",
year = "2014",
abstract = "We consider the approximations behind the typical mean-field model derived for a class of systems made up of type II excitable units influenced by noise and coupling delays. The formulation of the two approximations, referred to as the Gaussian and the quasi-independence approximation, as well as the fashion in which their validity is verified, are adapted to reflect the essential properties of the underlying system. It is demonstrated that the failure of the mean-field model associated with the breakdown of the quasi-independence approximation can be predicted by the noise-induced bistability in the dynamics of the mean-field system. As for the Gaussian approximation, its violation is related to the increase of noise intensity, but the actual condition for failure can be cast in qualitative, rather than quantitative terms. We also discuss how the fulfillment of the mean-field approximations affects the statistics of the first return times for the local and global variables, further exploring the link between the fulfillment of the quasi-independence approximation and certain forms of synchronization between the individual units.",
publisher = "Amer Physical Soc, College Pk",
journal = "Physical Review E",
title = "Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units",
volume = "89",
number = "2",
doi = "10.1103/PhysRevE.89.022926"
}
Franović, I., Todorović, K., Vasović, N.,& Burić, N.. (2014). Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units. in Physical Review E
Amer Physical Soc, College Pk., 89(2).
https://doi.org/10.1103/PhysRevE.89.022926
Franović I, Todorović K, Vasović N, Burić N. Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units. in Physical Review E. 2014;89(2).
doi:10.1103/PhysRevE.89.022926 .
Franović, Igor, Todorović, Kristina, Vasović, Nebojša, Burić, Nikola, "Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units" in Physical Review E, 89, no. 2 (2014),
https://doi.org/10.1103/PhysRevE.89.022926 . .
2
9
9
10

Stability, coherent spiking and synchronization in noisy excitable systems with coupling and internal delays

Franović, Igor; Todorović, Kristina; Vasović, Nebojša; Burić, Nikola

(Elsevier Science BV, Amsterdam, 2014)

TY  - JOUR
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
AU  - Burić, Nikola
PY  - 2014
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2166
AB  - We study the onset and the adjustment of different oscillatory modes in a system of excitable units subjected to two forms of noise and delays cast as external or internal according to whether they are associated with inter- or intra-unit activity. Conditions for stability of a single unit are derived in case of the linearized perturbed system, whereas the interplay of noise and internal delay in shaping the oscillatory motion is analyzed by the method of statistical linearization. It is demonstrated that the internal delay, as well as its coaction with external noise, drive the unit away from the bifurcation controlled by the excitability parameter. For the pair of interacting units, it is shown that the external/internal character of noise primarily influences frequency synchronization and the competition between the noise-induced and delay-driven oscillatory modes, while coherence of firing and phase synchronization substantially depend on internal delay. Some of the important effects include: (i) loss of frequency synchronization under external noise; (ii) existence of characteristic regimes of entrainment, where under variation of coupling delay, the optimized unit (noise intensity fixed at resonant value) may be controlled by the adjustable unit (variable noise) and vice versa, or both units may become adjusted to coupling delay; (iii) phase synchronization achieved both for noise-induced and delay-driven modes.
PB  - Elsevier Science BV, Amsterdam
T2  - Communications in Nonlinear Science and Numerical Simulation
T1  - Stability, coherent spiking and synchronization in noisy excitable systems with coupling and internal delays
VL  - 19
IS  - 9
SP  - 3202
EP  - 3219
DO  - 10.1016/j.cnsns.2014.02.022
ER  - 
@article{
author = "Franović, Igor and Todorović, Kristina and Vasović, Nebojša and Burić, Nikola",
year = "2014",
abstract = "We study the onset and the adjustment of different oscillatory modes in a system of excitable units subjected to two forms of noise and delays cast as external or internal according to whether they are associated with inter- or intra-unit activity. Conditions for stability of a single unit are derived in case of the linearized perturbed system, whereas the interplay of noise and internal delay in shaping the oscillatory motion is analyzed by the method of statistical linearization. It is demonstrated that the internal delay, as well as its coaction with external noise, drive the unit away from the bifurcation controlled by the excitability parameter. For the pair of interacting units, it is shown that the external/internal character of noise primarily influences frequency synchronization and the competition between the noise-induced and delay-driven oscillatory modes, while coherence of firing and phase synchronization substantially depend on internal delay. Some of the important effects include: (i) loss of frequency synchronization under external noise; (ii) existence of characteristic regimes of entrainment, where under variation of coupling delay, the optimized unit (noise intensity fixed at resonant value) may be controlled by the adjustable unit (variable noise) and vice versa, or both units may become adjusted to coupling delay; (iii) phase synchronization achieved both for noise-induced and delay-driven modes.",
publisher = "Elsevier Science BV, Amsterdam",
journal = "Communications in Nonlinear Science and Numerical Simulation",
title = "Stability, coherent spiking and synchronization in noisy excitable systems with coupling and internal delays",
volume = "19",
number = "9",
pages = "3202-3219",
doi = "10.1016/j.cnsns.2014.02.022"
}
Franović, I., Todorović, K., Vasović, N.,& Burić, N.. (2014). Stability, coherent spiking and synchronization in noisy excitable systems with coupling and internal delays. in Communications in Nonlinear Science and Numerical Simulation
Elsevier Science BV, Amsterdam., 19(9), 3202-3219.
https://doi.org/10.1016/j.cnsns.2014.02.022
Franović I, Todorović K, Vasović N, Burić N. Stability, coherent spiking and synchronization in noisy excitable systems with coupling and internal delays. in Communications in Nonlinear Science and Numerical Simulation. 2014;19(9):3202-3219.
doi:10.1016/j.cnsns.2014.02.022 .
Franović, Igor, Todorović, Kristina, Vasović, Nebojša, Burić, Nikola, "Stability, coherent spiking and synchronization in noisy excitable systems with coupling and internal delays" in Communications in Nonlinear Science and Numerical Simulation, 19, no. 9 (2014):3202-3219,
https://doi.org/10.1016/j.cnsns.2014.02.022 . .
6
2
5

Dynamics of landslide model with time delay and periodic parameter perturbations

Kostić, Srdan; Vasović, Nebojša; Franović, Igor; Jevremović, Dragutin; Mitrinović, David; Todorović, Kristina

(Elsevier Science BV, Amsterdam, 2014)

TY  - JOUR
AU  - Kostić, Srdan
AU  - Vasović, Nebojša
AU  - Franović, Igor
AU  - Jevremović, Dragutin
AU  - Mitrinović, David
AU  - Todorović, Kristina
PY  - 2014
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2155
AB  - In present paper, we analyze the dynamics of a single-block model on an inclined slope with Dieterich-Ruina friction law under the variation of two new introduced parameters: time delay T-d and initial shear stress mu. It is assumed that this phenomenological model qualitatively simulates the motion along the infinite creeping slope. The introduction of time delay is proposed to mimic the memory effect of the sliding surface and it is generally considered as a function of history of sliding. On the other hand, periodic perturbation of initial shear stress emulates external triggering effect of long-distant earthquakes or some non-natural vibration source. The effects of variation of a single observed parameter, T-d or mu, as well as their co-action, are estimated for three different sliding regimes: beta  lt  1, beta = 1 and beta > 1, where beta stands for the ratio of long-term to short-term stress changes. The results of standard local bifurcation analysis indicate the onset of complex dynamics for very low values of time delay. On the other side, numerical approach confirms an additional complexity that was not observed by local analysis, due to the possible effect of global bifurcations. The most complex dynamics is detected for beta  lt  1, with a complete Ruelle-Takens-Newhouse route to chaos under the variation of T-d, or the co-action of both parameters T-d and mu. These results correspond well with the previous experimental observations on clay and siltstone with low clay fraction. In the same regime, the perturbation of only a single parameter, mu, renders the oscillatory motion of the block. Within the velocity-independent regime, beta = 1, the inclusion and variation of T-d generates a transition to equilibrium state, whereas the small oscillations of mu induce oscillatory motion with decreasing amplitude. The co-action of both parameters, in the same regime, causes the decrease of block's velocity. As for beta > 1, highly-frequent, limit-amplitude oscillations of initial stress give rise to oscillatory motion. Also for beta > 1, in case of perturbing only the initial shear stress, with smaller amplitude, velocity of the block changes exponentially fast. If the time delay is introduced, besides the stress perturbation, within the same regime, the co-action of T-d (T-d  lt  0.1) and small oscillations of mu induce the onset of deterministic chaos.
PB  - Elsevier Science BV, Amsterdam
T2  - Communications in Nonlinear Science and Numerical Simulation
T1  - Dynamics of landslide model with time delay and periodic parameter perturbations
VL  - 19
IS  - 9
SP  - 3346
EP  - 3361
DO  - 10.1016/j.cnsns.2014.02.012
ER  - 
@article{
author = "Kostić, Srdan and Vasović, Nebojša and Franović, Igor and Jevremović, Dragutin and Mitrinović, David and Todorović, Kristina",
year = "2014",
abstract = "In present paper, we analyze the dynamics of a single-block model on an inclined slope with Dieterich-Ruina friction law under the variation of two new introduced parameters: time delay T-d and initial shear stress mu. It is assumed that this phenomenological model qualitatively simulates the motion along the infinite creeping slope. The introduction of time delay is proposed to mimic the memory effect of the sliding surface and it is generally considered as a function of history of sliding. On the other hand, periodic perturbation of initial shear stress emulates external triggering effect of long-distant earthquakes or some non-natural vibration source. The effects of variation of a single observed parameter, T-d or mu, as well as their co-action, are estimated for three different sliding regimes: beta  lt  1, beta = 1 and beta > 1, where beta stands for the ratio of long-term to short-term stress changes. The results of standard local bifurcation analysis indicate the onset of complex dynamics for very low values of time delay. On the other side, numerical approach confirms an additional complexity that was not observed by local analysis, due to the possible effect of global bifurcations. The most complex dynamics is detected for beta  lt  1, with a complete Ruelle-Takens-Newhouse route to chaos under the variation of T-d, or the co-action of both parameters T-d and mu. These results correspond well with the previous experimental observations on clay and siltstone with low clay fraction. In the same regime, the perturbation of only a single parameter, mu, renders the oscillatory motion of the block. Within the velocity-independent regime, beta = 1, the inclusion and variation of T-d generates a transition to equilibrium state, whereas the small oscillations of mu induce oscillatory motion with decreasing amplitude. The co-action of both parameters, in the same regime, causes the decrease of block's velocity. As for beta > 1, highly-frequent, limit-amplitude oscillations of initial stress give rise to oscillatory motion. Also for beta > 1, in case of perturbing only the initial shear stress, with smaller amplitude, velocity of the block changes exponentially fast. If the time delay is introduced, besides the stress perturbation, within the same regime, the co-action of T-d (T-d  lt  0.1) and small oscillations of mu induce the onset of deterministic chaos.",
publisher = "Elsevier Science BV, Amsterdam",
journal = "Communications in Nonlinear Science and Numerical Simulation",
title = "Dynamics of landslide model with time delay and periodic parameter perturbations",
volume = "19",
number = "9",
pages = "3346-3361",
doi = "10.1016/j.cnsns.2014.02.012"
}
Kostić, S., Vasović, N., Franović, I., Jevremović, D., Mitrinović, D.,& Todorović, K.. (2014). Dynamics of landslide model with time delay and periodic parameter perturbations. in Communications in Nonlinear Science and Numerical Simulation
Elsevier Science BV, Amsterdam., 19(9), 3346-3361.
https://doi.org/10.1016/j.cnsns.2014.02.012
Kostić S, Vasović N, Franović I, Jevremović D, Mitrinović D, Todorović K. Dynamics of landslide model with time delay and periodic parameter perturbations. in Communications in Nonlinear Science and Numerical Simulation. 2014;19(9):3346-3361.
doi:10.1016/j.cnsns.2014.02.012 .
Kostić, Srdan, Vasović, Nebojša, Franović, Igor, Jevremović, Dragutin, Mitrinović, David, Todorović, Kristina, "Dynamics of landslide model with time delay and periodic parameter perturbations" in Communications in Nonlinear Science and Numerical Simulation, 19, no. 9 (2014):3346-3361,
https://doi.org/10.1016/j.cnsns.2014.02.012 . .
8
4
7

Friction memory effect in complex dynamics of earthquake model

Kostić, Srdan; Franović, Igor; Todorović, Kristina; Vasović, Nebojša

(Springer, Dordrecht, 2013)

TY  - JOUR
AU  - Kostić, Srdan
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
PY  - 2013
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1972
AB  - In present paper, an effect of delayed frictional healing on complex dynamics of simple model of earthquake nucleation is analyzed, following the commonly accepted assumption that frictional healing represents the main mechanism for fault restrengthening. The studied model represents a generalization of Burridge-Knopoff single-block model with Dieterich-Ruina's rate and state dependent friction law. The time-dependent character of the frictional healing process is modeled by introducing time delay tau in the friction term. Standard local bifurcation analysis of the obtained delay-differential equations demonstrates that the observed model exhibits Ruelle-Takens-Newhouse route to chaos. Domain in parameters space where the solutions are stable for all values of time delay is determined by applying the Rouch, theorem. The obtained results are corroborated by Fourier power spectra and largest Lyapunov exponents techniques. In contrast to previous research, the performed analysis reveals that even the small perturbations of the control parameters could lead to deterministic chaos, and, thus, to instabilities and earthquakes. The obtained results further imply the necessity of taking into account this delayed character of frictional healing, which renders complex behavior of the model, already captured in the case of more than one block.
PB  - Springer, Dordrecht
T2  - Nonlinear Dynamics
T1  - Friction memory effect in complex dynamics of earthquake model
VL  - 73
IS  - 3
SP  - 1933
EP  - 1943
DO  - 10.1007/s11071-013-0914-8
ER  - 
@article{
author = "Kostić, Srdan and Franović, Igor and Todorović, Kristina and Vasović, Nebojša",
year = "2013",
abstract = "In present paper, an effect of delayed frictional healing on complex dynamics of simple model of earthquake nucleation is analyzed, following the commonly accepted assumption that frictional healing represents the main mechanism for fault restrengthening. The studied model represents a generalization of Burridge-Knopoff single-block model with Dieterich-Ruina's rate and state dependent friction law. The time-dependent character of the frictional healing process is modeled by introducing time delay tau in the friction term. Standard local bifurcation analysis of the obtained delay-differential equations demonstrates that the observed model exhibits Ruelle-Takens-Newhouse route to chaos. Domain in parameters space where the solutions are stable for all values of time delay is determined by applying the Rouch, theorem. The obtained results are corroborated by Fourier power spectra and largest Lyapunov exponents techniques. In contrast to previous research, the performed analysis reveals that even the small perturbations of the control parameters could lead to deterministic chaos, and, thus, to instabilities and earthquakes. The obtained results further imply the necessity of taking into account this delayed character of frictional healing, which renders complex behavior of the model, already captured in the case of more than one block.",
publisher = "Springer, Dordrecht",
journal = "Nonlinear Dynamics",
title = "Friction memory effect in complex dynamics of earthquake model",
volume = "73",
number = "3",
pages = "1933-1943",
doi = "10.1007/s11071-013-0914-8"
}
Kostić, S., Franović, I., Todorović, K.,& Vasović, N.. (2013). Friction memory effect in complex dynamics of earthquake model. in Nonlinear Dynamics
Springer, Dordrecht., 73(3), 1933-1943.
https://doi.org/10.1007/s11071-013-0914-8
Kostić S, Franović I, Todorović K, Vasović N. Friction memory effect in complex dynamics of earthquake model. in Nonlinear Dynamics. 2013;73(3):1933-1943.
doi:10.1007/s11071-013-0914-8 .
Kostić, Srdan, Franović, Igor, Todorović, Kristina, Vasović, Nebojša, "Friction memory effect in complex dynamics of earthquake model" in Nonlinear Dynamics, 73, no. 3 (2013):1933-1943,
https://doi.org/10.1007/s11071-013-0914-8 . .
22
16
19

Mean-field approximation of two coupled populations of excitable units

Franović, Igor; Todorović, Kristina; Vasović, Nebojša; Burić, Nikola

(Amer Physical Soc, College Pk, 2013)

TY  - JOUR
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
AU  - Burić, Nikola
PY  - 2013
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1948
AB  - The analysis on stability and bifurcations in the macroscopic dynamics exhibited by the system of two coupled large populations composed of N stochastic excitable units each is performed by studying an approximate system, obtained by replacing each population with the corresponding mean-field model. In the exact system, one has the units within an ensemble communicating via the time-delayed linear couplings, whereas the interensemble terms involve the nonlinear time-delayed interaction mediated by the appropriate global variables. The aim is to demonstrate that the bifurcations affecting the stability of the stationary state of the original system, governed by a set of 4N stochastic delay-differential equations for the microscopic dynamics, can accurately be reproduced by a flow containing just four deterministic delay-differential equations which describe the evolution of the mean-field based variables. In particular, the considered issues include determining the parameter domains where the stationary state is stable, the scenarios for the onset, and the time-delay induced suppression of the collective mode, as well as the parameter domains admitting bistability between the equilibrium and the oscillatory state. We show how analytically tractable bifurcations occurring in the approximate model can be used to identify the characteristic mechanisms by which the stationary state is destabilized under different system configurations, like those with symmetrical or asymmetrical interpopulation couplings. DOI: 10.1103/PhysRevE.87.012922
PB  - Amer Physical Soc, College Pk
T2  - Physical Review E
T1  - Mean-field approximation of two coupled populations of excitable units
VL  - 87
IS  - 1
DO  - 10.1103/PhysRevE.87.012922
ER  - 
@article{
author = "Franović, Igor and Todorović, Kristina and Vasović, Nebojša and Burić, Nikola",
year = "2013",
abstract = "The analysis on stability and bifurcations in the macroscopic dynamics exhibited by the system of two coupled large populations composed of N stochastic excitable units each is performed by studying an approximate system, obtained by replacing each population with the corresponding mean-field model. In the exact system, one has the units within an ensemble communicating via the time-delayed linear couplings, whereas the interensemble terms involve the nonlinear time-delayed interaction mediated by the appropriate global variables. The aim is to demonstrate that the bifurcations affecting the stability of the stationary state of the original system, governed by a set of 4N stochastic delay-differential equations for the microscopic dynamics, can accurately be reproduced by a flow containing just four deterministic delay-differential equations which describe the evolution of the mean-field based variables. In particular, the considered issues include determining the parameter domains where the stationary state is stable, the scenarios for the onset, and the time-delay induced suppression of the collective mode, as well as the parameter domains admitting bistability between the equilibrium and the oscillatory state. We show how analytically tractable bifurcations occurring in the approximate model can be used to identify the characteristic mechanisms by which the stationary state is destabilized under different system configurations, like those with symmetrical or asymmetrical interpopulation couplings. DOI: 10.1103/PhysRevE.87.012922",
publisher = "Amer Physical Soc, College Pk",
journal = "Physical Review E",
title = "Mean-field approximation of two coupled populations of excitable units",
volume = "87",
number = "1",
doi = "10.1103/PhysRevE.87.012922"
}
Franović, I., Todorović, K., Vasović, N.,& Burić, N.. (2013). Mean-field approximation of two coupled populations of excitable units. in Physical Review E
Amer Physical Soc, College Pk., 87(1).
https://doi.org/10.1103/PhysRevE.87.012922
Franović I, Todorović K, Vasović N, Burić N. Mean-field approximation of two coupled populations of excitable units. in Physical Review E. 2013;87(1).
doi:10.1103/PhysRevE.87.012922 .
Franović, Igor, Todorović, Kristina, Vasović, Nebojša, Burić, Nikola, "Mean-field approximation of two coupled populations of excitable units" in Physical Review E, 87, no. 1 (2013),
https://doi.org/10.1103/PhysRevE.87.012922 . .
18
17
18

Spontaneous Formation of Synchronization Clusters in Homogenous Neuronal Ensembles Induced by Noise and Interaction Delays

Franović, Igor; Todorović, Kristina; Vasović, Nebojša; Burić, Nikola

(Amer Physical Soc, College Pk, 2012)

TY  - JOUR
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
AU  - Burić, Nikola
PY  - 2012
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1695
AB  - The spontaneous formation of clusters of synchronized spiking in a structureless ensemble of equal stochastically perturbed excitable neurons with delayed coupling is demonstrated for the first time. The effect is a consequence of a subtle interplay between interaction delays, noise, and the excitable character of a single neuron. The dependence of the cluster properties on the time lag, noise intensity, and the synaptic strength is investigated.
PB  - Amer Physical Soc, College Pk
T2  - Physical Review Letters
T1  - Spontaneous Formation of Synchronization Clusters in Homogenous Neuronal Ensembles Induced by Noise and Interaction Delays
VL  - 108
IS  - 9
DO  - 10.1103/PhysRevLett.108.094101
ER  - 
@article{
author = "Franović, Igor and Todorović, Kristina and Vasović, Nebojša and Burić, Nikola",
year = "2012",
abstract = "The spontaneous formation of clusters of synchronized spiking in a structureless ensemble of equal stochastically perturbed excitable neurons with delayed coupling is demonstrated for the first time. The effect is a consequence of a subtle interplay between interaction delays, noise, and the excitable character of a single neuron. The dependence of the cluster properties on the time lag, noise intensity, and the synaptic strength is investigated.",
publisher = "Amer Physical Soc, College Pk",
journal = "Physical Review Letters",
title = "Spontaneous Formation of Synchronization Clusters in Homogenous Neuronal Ensembles Induced by Noise and Interaction Delays",
volume = "108",
number = "9",
doi = "10.1103/PhysRevLett.108.094101"
}
Franović, I., Todorović, K., Vasović, N.,& Burić, N.. (2012). Spontaneous Formation of Synchronization Clusters in Homogenous Neuronal Ensembles Induced by Noise and Interaction Delays. in Physical Review Letters
Amer Physical Soc, College Pk., 108(9).
https://doi.org/10.1103/PhysRevLett.108.094101
Franović I, Todorović K, Vasović N, Burić N. Spontaneous Formation of Synchronization Clusters in Homogenous Neuronal Ensembles Induced by Noise and Interaction Delays. in Physical Review Letters. 2012;108(9).
doi:10.1103/PhysRevLett.108.094101 .
Franović, Igor, Todorović, Kristina, Vasović, Nebojša, Burić, Nikola, "Spontaneous Formation of Synchronization Clusters in Homogenous Neuronal Ensembles Induced by Noise and Interaction Delays" in Physical Review Letters, 108, no. 9 (2012),
https://doi.org/10.1103/PhysRevLett.108.094101 . .
35
24
32

Cluster synchronization of spiking induced by noise and interaction delays in homogenous neuronal ensembles

Franović, Igor; Todorović, Kristina; Vasović, Nebojša; Burić, Nikola

(Amer Inst Physics, Melville, 2012)

TY  - JOUR
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
AU  - Burić, Nikola
PY  - 2012
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1647
AB  - Properties of spontaneously formed clusters of synchronous dynamics in a structureless network of noisy excitable neurons connected via delayed diffusive couplings are studied in detail. Several tools have been applied to characterize the synchronization clusters and to study their dependence on the neuronal and the synaptic parameters. Qualitative explanation of the cluster formation is discussed. The interplay between the noise, the interaction time-delay and the excitable character of the neuronal dynamics is shown to be necessary and sufficient for the occurrence of the synchronization clusters. We have found the two-cluster partitions where neurons are firmly bound to their subsets, as well as the three-cluster ones, which are dynamical by nature. The former turn out to be stable under small disparity of the intrinsic neuronal parameters and the heterogeneity in the synaptic connectivity patterns.
PB  - Amer Inst Physics, Melville
T2  - Chaos
T1  - Cluster synchronization of spiking induced by noise and interaction delays in homogenous neuronal ensembles
VL  - 22
IS  - 3
DO  - 10.1063/1.4753919
ER  - 
@article{
author = "Franović, Igor and Todorović, Kristina and Vasović, Nebojša and Burić, Nikola",
year = "2012",
abstract = "Properties of spontaneously formed clusters of synchronous dynamics in a structureless network of noisy excitable neurons connected via delayed diffusive couplings are studied in detail. Several tools have been applied to characterize the synchronization clusters and to study their dependence on the neuronal and the synaptic parameters. Qualitative explanation of the cluster formation is discussed. The interplay between the noise, the interaction time-delay and the excitable character of the neuronal dynamics is shown to be necessary and sufficient for the occurrence of the synchronization clusters. We have found the two-cluster partitions where neurons are firmly bound to their subsets, as well as the three-cluster ones, which are dynamical by nature. The former turn out to be stable under small disparity of the intrinsic neuronal parameters and the heterogeneity in the synaptic connectivity patterns.",
publisher = "Amer Inst Physics, Melville",
journal = "Chaos",
title = "Cluster synchronization of spiking induced by noise and interaction delays in homogenous neuronal ensembles",
volume = "22",
number = "3",
doi = "10.1063/1.4753919"
}
Franović, I., Todorović, K., Vasović, N.,& Burić, N.. (2012). Cluster synchronization of spiking induced by noise and interaction delays in homogenous neuronal ensembles. in Chaos
Amer Inst Physics, Melville., 22(3).
https://doi.org/10.1063/1.4753919
Franović I, Todorović K, Vasović N, Burić N. Cluster synchronization of spiking induced by noise and interaction delays in homogenous neuronal ensembles. in Chaos. 2012;22(3).
doi:10.1063/1.4753919 .
Franović, Igor, Todorović, Kristina, Vasović, Nebojša, Burić, Nikola, "Cluster synchronization of spiking induced by noise and interaction delays in homogenous neuronal ensembles" in Chaos, 22, no. 3 (2012),
https://doi.org/10.1063/1.4753919 . .
21
15
20

Stability, bifurcations, and dynamics of global variables of a system of bursting neurons

Franović, Igor; Todorović, Kristina; Vasović, Nebojša; Burić, Nikola

(Amer Inst Physics, Melville, 2011)

TY  - JOUR
AU  - Franović, Igor
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
AU  - Burić, Nikola
PY  - 2011
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1457
AB  - An approximate mean field model of an ensemble of delayed coupled stochastic Hindmarsh-Rose bursting neurons is constructed and analyzed. Bifurcation analysis of the approximate system is performed using numerical continuation. It is demonstrated that the stability domains in the parameter space of the large exact systems are correctly estimated using the much simpler approximate model.
PB  - Amer Inst Physics, Melville
T2  - Chaos
T1  - Stability, bifurcations, and dynamics of global variables of a system of bursting neurons
VL  - 21
IS  - 3
DO  - 10.1063/1.3619293
ER  - 
@article{
author = "Franović, Igor and Todorović, Kristina and Vasović, Nebojša and Burić, Nikola",
year = "2011",
abstract = "An approximate mean field model of an ensemble of delayed coupled stochastic Hindmarsh-Rose bursting neurons is constructed and analyzed. Bifurcation analysis of the approximate system is performed using numerical continuation. It is demonstrated that the stability domains in the parameter space of the large exact systems are correctly estimated using the much simpler approximate model.",
publisher = "Amer Inst Physics, Melville",
journal = "Chaos",
title = "Stability, bifurcations, and dynamics of global variables of a system of bursting neurons",
volume = "21",
number = "3",
doi = "10.1063/1.3619293"
}
Franović, I., Todorović, K., Vasović, N.,& Burić, N.. (2011). Stability, bifurcations, and dynamics of global variables of a system of bursting neurons. in Chaos
Amer Inst Physics, Melville., 21(3).
https://doi.org/10.1063/1.3619293
Franović I, Todorović K, Vasović N, Burić N. Stability, bifurcations, and dynamics of global variables of a system of bursting neurons. in Chaos. 2011;21(3).
doi:10.1063/1.3619293 .
Franović, Igor, Todorović, Kristina, Vasović, Nebojša, Burić, Nikola, "Stability, bifurcations, and dynamics of global variables of a system of bursting neurons" in Chaos, 21, no. 3 (2011),
https://doi.org/10.1063/1.3619293 . .
5
3
5