TY  - JOUR
AU  - Prekrat, Dragan
AU  - Todorović-Vasović, Kristina Neli
AU  - Vasović, Nebojša
AU  - Kostić, Srđan
PY  - 2024
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5561
AB  - In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.
PB  - Frontiers Media
T2  - Frontiers in Earth Science
T1  - Complex global dynamics of conditionally stable slopes: effect of initial conditions
VL  - 12
DO  - 10.3389/feart.2024.1374942
ER  - 

@article{
author = "Prekrat, Dragan and Todorović-Vasović, Kristina Neli and Vasović, Nebojša and Kostić, Srđan",
year = "2024",
abstract = "In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.",
publisher = "Frontiers Media",
journal = "Frontiers in Earth Science",
title = "Complex global dynamics of conditionally stable slopes: effect of initial conditions",
volume = "12",
doi = "10.3389/feart.2024.1374942"
}

Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12.
https://doi.org/10.3389/feart.2024.1374942

Prekrat D, Todorović-Vasović KN, Vasović N, Kostić S. Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science. 2024;12.
doi:10.3389/feart.2024.1374942 .

Prekrat, Dragan, Todorović-Vasović, Kristina Neli, Vasović, Nebojša, Kostić, Srđan, "Complex global dynamics of conditionally stable slopes: effect of initial conditions" in Frontiers in Earth Science, 12 (2024),
https://doi.org/10.3389/feart.2024.1374942 . .

TY  - DATA
AU  - Prekrat, Dragan
AU  - Todorović-Vasović, Kristina Neli
AU  - Vasović, Nebojša
AU  - Kostić, Srđan
PY  - 2024
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5562
AB  - In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.
PB  - Frontiers Media
T2  - Frontiers in Earth Science
T1  - Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942
VL  - 12
UR  - https://hdl.handle.net/21.15107/rcub_farfar_5562
ER  - 

@misc{
author = "Prekrat, Dragan and Todorović-Vasović, Kristina Neli and Vasović, Nebojša and Kostić, Srđan",
year = "2024",
abstract = "In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.",
publisher = "Frontiers Media",
journal = "Frontiers in Earth Science",
title = "Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942",
volume = "12",
url = "https://hdl.handle.net/21.15107/rcub_farfar_5562"
}

Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942. in Frontiers in Earth Science
Frontiers Media., 12.
https://hdl.handle.net/21.15107/rcub_farfar_5562

Prekrat D, Todorović-Vasović KN, Vasović N, Kostić S. Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942. in Frontiers in Earth Science. 2024;12.
https://hdl.handle.net/21.15107/rcub_farfar_5562 .

Prekrat, Dragan, Todorović-Vasović, Kristina Neli, Vasović, Nebojša, Kostić, Srđan, "Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942" in Frontiers in Earth Science, 12 (2024),
https://hdl.handle.net/21.15107/rcub_farfar_5562 .

TY  - JOUR
AU  - Kostić, Srđan
AU  - Todorović-Vasović, Kristina Neli
AU  - Lazarević, Žarko
AU  - Prekrat, Dragan
PY  - 2023
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4936
AB  - We propose a new model for landslide dynamics under the assumption of a delay failure mechanism. Delay failure is simulated as a delayed interaction between adjacent blocks, which mimics the relationship between the accumulation and feeder part of the accumulation slope. The conducted research consisted of three phases. Firstly, the real observed movements of the landslide were examined to exclude the existence or the statistically significant presence of background noise. Secondly, we propose a new mechanical model of an accumulation landslide dynamics, with introduced delay failure, and with variable friction law. Results obtained indicate the onset of a transition from an equilibrium state to an oscillatory regime if delayed failure is assumed for different cases of slope stiffness and state of homogeneity/heterogeneity of the slope. At the end, we examine the influence of different frictional properties (along the sliding surface) on the conditions for the onset of instability. Results obtained indicate that the increase of friction parameters leads to stabilization of sliding for homogeneous geological environment. Moreover, increase of certain friction parameters leads to the occurrence of irregular aperiodic behavior, which could be ascribed to the regime of fast irregular sliding along the slope.
PB  - MDPI
T2  - Entropy
T1  - Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure
VL  - 25
IS  - 7
DO  - 10.3390/e25071109
ER  - 

@article{
author = "Kostić, Srđan and Todorović-Vasović, Kristina Neli and Lazarević, Žarko and Prekrat, Dragan",
year = "2023",
abstract = "We propose a new model for landslide dynamics under the assumption of a delay failure mechanism. Delay failure is simulated as a delayed interaction between adjacent blocks, which mimics the relationship between the accumulation and feeder part of the accumulation slope. The conducted research consisted of three phases. Firstly, the real observed movements of the landslide were examined to exclude the existence or the statistically significant presence of background noise. Secondly, we propose a new mechanical model of an accumulation landslide dynamics, with introduced delay failure, and with variable friction law. Results obtained indicate the onset of a transition from an equilibrium state to an oscillatory regime if delayed failure is assumed for different cases of slope stiffness and state of homogeneity/heterogeneity of the slope. At the end, we examine the influence of different frictional properties (along the sliding surface) on the conditions for the onset of instability. Results obtained indicate that the increase of friction parameters leads to stabilization of sliding for homogeneous geological environment. Moreover, increase of certain friction parameters leads to the occurrence of irregular aperiodic behavior, which could be ascribed to the regime of fast irregular sliding along the slope.",
publisher = "MDPI",
journal = "Entropy",
title = "Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure",
volume = "25",
number = "7",
doi = "10.3390/e25071109"
}

Kostić, S., Todorović-Vasović, K. N., Lazarević, Ž.,& Prekrat, D.. (2023). Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure. in Entropy
MDPI., 25(7).
https://doi.org/10.3390/e25071109

Kostić S, Todorović-Vasović KN, Lazarević Ž, Prekrat D. Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure. in Entropy. 2023;25(7).
doi:10.3390/e25071109 .

Kostić, Srđan, Todorović-Vasović, Kristina Neli, Lazarević, Žarko, Prekrat, Dragan, "Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure" in Entropy, 25, no. 7 (2023),
https://doi.org/10.3390/e25071109 . .

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 . .

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 . .