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.
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 . .
