TY  - JOUR
AU  - Burić, Nikola
AU  - Ranković, Dragana
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
PY  - 2010
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1344
AB  - Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by N >> 1 stochastic delay-differential equations is derived. The resulting approximation contains only two deterministic delay-differential equations but provides excellent predictions concerning the stability and bifurcations of the averaged global variables of the exact large system.
PB  - Elsevier Science BV, Amsterdam
T2  - Physica A-Statistical Mechanics and Its Applications
T1  - Mean field approximation for noisy delay coupled excitable neurons
VL  - 389
IS  - 19
SP  - 3956
EP  - 3964
DO  - 10.1016/j.physa.2010.05.048
ER  - 

@article{
author = "Burić, Nikola and Ranković, Dragana and Todorović, Kristina and Vasović, Nebojša",
year = "2010",
abstract = "Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by N >> 1 stochastic delay-differential equations is derived. The resulting approximation contains only two deterministic delay-differential equations but provides excellent predictions concerning the stability and bifurcations of the averaged global variables of the exact large system.",
publisher = "Elsevier Science BV, Amsterdam",
journal = "Physica A-Statistical Mechanics and Its Applications",
title = "Mean field approximation for noisy delay coupled excitable neurons",
volume = "389",
number = "19",
pages = "3956-3964",
doi = "10.1016/j.physa.2010.05.048"
}

Burić, N., Ranković, D., Todorović, K.,& Vasović, N.. (2010). Mean field approximation for noisy delay coupled excitable neurons. in Physica A-Statistical Mechanics and Its Applications
Elsevier Science BV, Amsterdam., 389(19), 3956-3964.
https://doi.org/10.1016/j.physa.2010.05.048

Burić N, Ranković D, Todorović K, Vasović N. Mean field approximation for noisy delay coupled excitable neurons. in Physica A-Statistical Mechanics and Its Applications. 2010;389(19):3956-3964.
doi:10.1016/j.physa.2010.05.048 .

Burić, Nikola, Ranković, Dragana, Todorović, Kristina, Vasović, Nebojša, "Mean field approximation for noisy delay coupled excitable neurons" in Physica A-Statistical Mechanics and Its Applications, 389, no. 19 (2010):3956-3964,
https://doi.org/10.1016/j.physa.2010.05.048 . .

TY  - JOUR
AU  - Burić, Nikola
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
PY  - 2010
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1329
AB  - Influence of the interaction time delay on the noise-induced system size resonance in a system of all-to-all electrically coupled FitzHugh-Nagumo excitable neurons is studied. It is observed that small time lags decrease and that large time lags increase the coherence of spiking. Bifurcations of the system's stationary state are used to explain the observed nonmonotonic dependence of coherence on the time lag.
PB  - Amer Physical Soc, College Pk
T2  - Physical Review E
T1  - Influence of interaction delays on noise-induced coherence in excitable systems
VL  - 82
IS  - 3
DO  - 10.1103/PhysRevE.82.037201
ER  - 

@article{
author = "Burić, Nikola and Todorović, Kristina and Vasović, Nebojša",
year = "2010",
abstract = "Influence of the interaction time delay on the noise-induced system size resonance in a system of all-to-all electrically coupled FitzHugh-Nagumo excitable neurons is studied. It is observed that small time lags decrease and that large time lags increase the coherence of spiking. Bifurcations of the system's stationary state are used to explain the observed nonmonotonic dependence of coherence on the time lag.",
publisher = "Amer Physical Soc, College Pk",
journal = "Physical Review E",
title = "Influence of interaction delays on noise-induced coherence in excitable systems",
volume = "82",
number = "3",
doi = "10.1103/PhysRevE.82.037201"
}

Burić, N., Todorović, K.,& Vasović, N.. (2010). Influence of interaction delays on noise-induced coherence in excitable systems. in Physical Review E
Amer Physical Soc, College Pk., 82(3).
https://doi.org/10.1103/PhysRevE.82.037201

Burić N, Todorović K, Vasović N. Influence of interaction delays on noise-induced coherence in excitable systems. in Physical Review E. 2010;82(3).
doi:10.1103/PhysRevE.82.037201 .

Burić, Nikola, Todorović, Kristina, Vasović, Nebojša, "Influence of interaction delays on noise-induced coherence in excitable systems" in Physical Review E, 82, no. 3 (2010),
https://doi.org/10.1103/PhysRevE.82.037201 . .

TY  - JOUR
AU  - Burić, Nikola
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
PY  - 2009
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1237
AB  - Results of an extensive numerical Study of the influence of additive white noise oil the dynamics of a pair of delayed Coupled FitzHugh-Nagumo neurons Lire presented. An intuitively clear simple method is utilized to predict the critical intensities of the noise. In general, the qualitative properties of file noiseless dynamics are stable under the influence of the noise of a reasonable magnitude. However, there Lire regions Of file Coupling and time-lag parameters where the noise of a physically acceptable magnitude does cause qualitative changes of the dynamics. These regions Lire Studied in detail.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Chaos Solitons & Fractals
T1  - Dynamics of noisy FitzHugh-Nagumo neurons with delayed coupling
VL  - 40
IS  - 5
SP  - 2405
EP  - 2413
DO  - 10.1016/j.chaos.2007.10.036
ER  - 

@article{
author = "Burić, Nikola and Todorović, Kristina and Vasović, Nebojša",
year = "2009",
abstract = "Results of an extensive numerical Study of the influence of additive white noise oil the dynamics of a pair of delayed Coupled FitzHugh-Nagumo neurons Lire presented. An intuitively clear simple method is utilized to predict the critical intensities of the noise. In general, the qualitative properties of file noiseless dynamics are stable under the influence of the noise of a reasonable magnitude. However, there Lire regions Of file Coupling and time-lag parameters where the noise of a physically acceptable magnitude does cause qualitative changes of the dynamics. These regions Lire Studied in detail.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Chaos Solitons & Fractals",
title = "Dynamics of noisy FitzHugh-Nagumo neurons with delayed coupling",
volume = "40",
number = "5",
pages = "2405-2413",
doi = "10.1016/j.chaos.2007.10.036"
}

Burić, N., Todorović, K.,& Vasović, N.. (2009). Dynamics of noisy FitzHugh-Nagumo neurons with delayed coupling. in Chaos Solitons & Fractals
Pergamon-Elsevier Science Ltd, Oxford., 40(5), 2405-2413.
https://doi.org/10.1016/j.chaos.2007.10.036

Burić N, Todorović K, Vasović N. Dynamics of noisy FitzHugh-Nagumo neurons with delayed coupling. in Chaos Solitons & Fractals. 2009;40(5):2405-2413.
doi:10.1016/j.chaos.2007.10.036 .

Burić, Nikola, Todorović, Kristina, Vasović, Nebojša, "Dynamics of noisy FitzHugh-Nagumo neurons with delayed coupling" in Chaos Solitons & Fractals, 40, no. 5 (2009):2405-2413,
https://doi.org/10.1016/j.chaos.2007.10.036 . .

TY  - JOUR
AU  - Burić, Nikola
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
PY  - 2009
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1216
AB  - Exact synchronization of a pair of stochastically perturbed Hindmarsh-Rose bursting neurons with delayed electrical coupling is studied. Possibility of stochastically stable exact synchronization with sufficiently strong coupling is proved for arbitrary time-lags and sufficiently small noise. Various effects of the interplay and influence of noise and time-delay oil the exact synchrony are studied by numerical computations.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Chaos Solitons & Fractals
T1  - Exact synchronization of noisy bursting neurons with coupling delays
VL  - 40
IS  - 3
SP  - 1127
EP  - 1135
DO  - 10.1016/j.chaos.2007.08.067
ER  - 

@article{
author = "Burić, Nikola and Todorović, Kristina and Vasović, Nebojša",
year = "2009",
abstract = "Exact synchronization of a pair of stochastically perturbed Hindmarsh-Rose bursting neurons with delayed electrical coupling is studied. Possibility of stochastically stable exact synchronization with sufficiently strong coupling is proved for arbitrary time-lags and sufficiently small noise. Various effects of the interplay and influence of noise and time-delay oil the exact synchrony are studied by numerical computations.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Chaos Solitons & Fractals",
title = "Exact synchronization of noisy bursting neurons with coupling delays",
volume = "40",
number = "3",
pages = "1127-1135",
doi = "10.1016/j.chaos.2007.08.067"
}

Burić, N., Todorović, K.,& Vasović, N.. (2009). Exact synchronization of noisy bursting neurons with coupling delays. in Chaos Solitons & Fractals
Pergamon-Elsevier Science Ltd, Oxford., 40(3), 1127-1135.
https://doi.org/10.1016/j.chaos.2007.08.067

Burić N, Todorović K, Vasović N. Exact synchronization of noisy bursting neurons with coupling delays. in Chaos Solitons & Fractals. 2009;40(3):1127-1135.
doi:10.1016/j.chaos.2007.08.067 .

Burić, Nikola, Todorović, Kristina, Vasović, Nebojša, "Exact synchronization of noisy bursting neurons with coupling delays" in Chaos Solitons & Fractals, 40, no. 3 (2009):1127-1135,
https://doi.org/10.1016/j.chaos.2007.08.067 . .

TY  - JOUR
AU  - Burić, Nikola
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
PY  - 2008
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1035
AB  - The synchronization of bursting Hindmarsh-Rose neurons coupled by a time-delayed fast threshold modulation synapse was studied. It is shown that there is a domain of the coupling parameter and nonzero time-lag values such that the bursting neurons are exactly synchronized. Furthermore, and contrary to the case of electrical synapses, such synchronous bursting is stochastically stable.
PB  - Amer Physical Soc, College Pk
T2  - Physical Review E
T1  - Synchronization of bursting neurons with delayed chemical synapses
VL  - 78
IS  - 3
DO  - 10.1103/PhysRevE.78.036211
ER  - 

@article{
author = "Burić, Nikola and Todorović, Kristina and Vasović, Nebojša",
year = "2008",
abstract = "The synchronization of bursting Hindmarsh-Rose neurons coupled by a time-delayed fast threshold modulation synapse was studied. It is shown that there is a domain of the coupling parameter and nonzero time-lag values such that the bursting neurons are exactly synchronized. Furthermore, and contrary to the case of electrical synapses, such synchronous bursting is stochastically stable.",
publisher = "Amer Physical Soc, College Pk",
journal = "Physical Review E",
title = "Synchronization of bursting neurons with delayed chemical synapses",
volume = "78",
number = "3",
doi = "10.1103/PhysRevE.78.036211"
}

Burić, N., Todorović, K.,& Vasović, N.. (2008). Synchronization of bursting neurons with delayed chemical synapses. in Physical Review E
Amer Physical Soc, College Pk., 78(3).
https://doi.org/10.1103/PhysRevE.78.036211

Burić N, Todorović K, Vasović N. Synchronization of bursting neurons with delayed chemical synapses. in Physical Review E. 2008;78(3).
doi:10.1103/PhysRevE.78.036211 .

Burić, Nikola, Todorović, Kristina, Vasović, Nebojša, "Synchronization of bursting neurons with delayed chemical synapses" in Physical Review E, 78, no. 3 (2008),
https://doi.org/10.1103/PhysRevE.78.036211 . .

TY  - JOUR
AU  - Burić, Nikola
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
PY  - 2007
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/951
AB  - Synchronization of delayed coupled and stochastically perturbed systems with delayed nonlinear feedback is studied, using as an example circular chains of three and four delayed coupled Ikeda oscillators. It is proved that in the case of multiplicative noise the exact synchronization in the mean occurs for sufficiently large coupling, and an analytic estimate of the sufficient coupling is given. The sufficiency condition is compared with numerical computations, and typical effects of noise on the exact and some generalized types of synchronization are illustrated.
PB  - American Physical Soc, College Pk
T2  - Physical Review E
T1  - Synchronization of noisy delayed feedback systems with delayed coupling
VL  - 75
IS  - 2
DO  - 10.1103/PhysRevE.75.026209
ER  - 

@article{
author = "Burić, Nikola and Todorović, Kristina and Vasović, Nebojša",
year = "2007",
abstract = "Synchronization of delayed coupled and stochastically perturbed systems with delayed nonlinear feedback is studied, using as an example circular chains of three and four delayed coupled Ikeda oscillators. It is proved that in the case of multiplicative noise the exact synchronization in the mean occurs for sufficiently large coupling, and an analytic estimate of the sufficient coupling is given. The sufficiency condition is compared with numerical computations, and typical effects of noise on the exact and some generalized types of synchronization are illustrated.",
publisher = "American Physical Soc, College Pk",
journal = "Physical Review E",
title = "Synchronization of noisy delayed feedback systems with delayed coupling",
volume = "75",
number = "2",
doi = "10.1103/PhysRevE.75.026209"
}

Burić, N., Todorović, K.,& Vasović, N.. (2007). Synchronization of noisy delayed feedback systems with delayed coupling. in Physical Review E
American Physical Soc, College Pk., 75(2).
https://doi.org/10.1103/PhysRevE.75.026209

Burić N, Todorović K, Vasović N. Synchronization of noisy delayed feedback systems with delayed coupling. in Physical Review E. 2007;75(2).
doi:10.1103/PhysRevE.75.026209 .

Burić, Nikola, Todorović, Kristina, Vasović, Nebojša, "Synchronization of noisy delayed feedback systems with delayed coupling" in Physical Review E, 75, no. 2 (2007),
https://doi.org/10.1103/PhysRevE.75.026209 . .

TY  - JOUR
AU  - Burić, Nikola
AU  - Ranković, Dragana
PY  - 2007
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/915
AB  - A pair of Hindmarsh-Rose neurons with delayed coupling is studied. Bifurcations due to time-lag and coupling and stability of the stationary state that corresponds to the quiescence behavior are analyzed. Bursting is created by coupling and its properties strongly depend on the time-lag. In particular, there is a domain of values of time-lags which renders the bursting of the two neurons exactly synchronous.
PB  - Elsevier Science BV, Amsterdam
T2  - Physics Letters A
T1  - Bursting neurons with coupling delays
VL  - 363
IS  - 4
SP  - 282
EP  - 289
DO  - 10.1016/j.physleta.2006.11.032
ER  - 

@article{
author = "Burić, Nikola and Ranković, Dragana",
year = "2007",
abstract = "A pair of Hindmarsh-Rose neurons with delayed coupling is studied. Bifurcations due to time-lag and coupling and stability of the stationary state that corresponds to the quiescence behavior are analyzed. Bursting is created by coupling and its properties strongly depend on the time-lag. In particular, there is a domain of values of time-lags which renders the bursting of the two neurons exactly synchronous.",
publisher = "Elsevier Science BV, Amsterdam",
journal = "Physics Letters A",
title = "Bursting neurons with coupling delays",
volume = "363",
number = "4",
pages = "282-289",
doi = "10.1016/j.physleta.2006.11.032"
}

Burić, N.,& Ranković, D.. (2007). Bursting neurons with coupling delays. in Physics Letters A
Elsevier Science BV, Amsterdam., 363(4), 282-289.
https://doi.org/10.1016/j.physleta.2006.11.032

Burić N, Ranković D. Bursting neurons with coupling delays. in Physics Letters A. 2007;363(4):282-289.
doi:10.1016/j.physleta.2006.11.032 .

Burić, Nikola, Ranković, Dragana, "Bursting neurons with coupling delays" in Physics Letters A, 363, no. 4 (2007):282-289,
https://doi.org/10.1016/j.physleta.2006.11.032 . .