Stability, bifurcations, and dynamics of global variables of a system of bursting neurons
Апстракт
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.
Извор:
Chaos, 2011, 21, 3Издавач:
- Amer Inst Physics, Melville
Финансирање / пројекти:
- Моделирање и нумеричке симулације сложених вишечестичних система (RS-MESTD-Basic Research (BR or ON)-171017)
DOI: 10.1063/1.3619293
ISSN: 1054-1500
PubMed: 21974644
WoS: 000295619000009
Scopus: 2-s2.0-80053411732
Институција/група
PharmacyTY - 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 . .