System of delayed differential equations is used to model a pair of FitzHugh- Nagumo excitable systems with time-delayed fast threshold modulation coupling. The Hopf bifurcation of the stationary solution, due to coupling is completely described. The critical time delays, that include indirect and direct Hopf bifurcations, and conditions on the parameters for such bifurcations are found. It is shown that there is a domain for values of time lags and coupling strength where instability of the equilibrium introduced by coupling can disappear due to interaction delay.
TY - JOUR
AU - Ranković, Dragana
PY - 2011
UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1620
AB - System of delayed differential equations is used to model a pair of FitzHugh- Nagumo excitable systems with time-delayed fast threshold modulation coupling. The Hopf bifurcation of the stationary solution, due to coupling is completely described. The critical time delays, that include indirect and direct Hopf bifurcations, and conditions on the parameters for such bifurcations are found. It is shown that there is a domain for values of time lags and coupling strength where instability of the equilibrium introduced by coupling can disappear due to interaction delay.
PB - Društvo matematičara Srbije, Beograd
T2 - Matematički vesnik
T1 - Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling
VL - 63
IS - 2
SP - 103
EP - 114
UR - https://hdl.handle.net/21.15107/rcub_farfar_1620
ER -
@article{
author = "Ranković, Dragana",
year = "2011",
abstract = "System of delayed differential equations is used to model a pair of FitzHugh- Nagumo excitable systems with time-delayed fast threshold modulation coupling. The Hopf bifurcation of the stationary solution, due to coupling is completely described. The critical time delays, that include indirect and direct Hopf bifurcations, and conditions on the parameters for such bifurcations are found. It is shown that there is a domain for values of time lags and coupling strength where instability of the equilibrium introduced by coupling can disappear due to interaction delay.",
publisher = "Društvo matematičara Srbije, Beograd",
journal = "Matematički vesnik",
title = "Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling",
volume = "63",
number = "2",
pages = "103-114",
url = "https://hdl.handle.net/21.15107/rcub_farfar_1620"
}
Ranković, D.. (2011). Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling. in Matematički vesnik
Društvo matematičara Srbije, Beograd., 63(2), 103-114.
https://hdl.handle.net/21.15107/rcub_farfar_1620
Ranković D. Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling. in Matematički vesnik. 2011;63(2):103-114.
https://hdl.handle.net/21.15107/rcub_farfar_1620 .
Ranković, Dragana, "Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling" in Matematički vesnik, 63, no. 2 (2011):103-114,
https://hdl.handle.net/21.15107/rcub_farfar_1620 .
