Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling
Apstrakt
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.
Ključne reči:
Hopf bifurcation / delayed differential equationsIzvor:
Matematički vesnik, 2011, 63, 2, 103-114Izdavač:
- Društvo matematičara Srbije, Beograd
Institucija/grupa
PharmacyTY - 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 .