BIFURCATIONS OF FITZHUGH-NAGUMO EXCITABLE SYSTEMS WITH CHEMICAL DELAYED COUPLING

被引：0
|
作者：
Rankovic, Dragana [1 ]
机构：
[1] Univ Belgrade, Dept Phys & Math, Fac Pharm, Vojvode Stepe 450, Belgrade, Serbia
来源：
MATEMATICKI VESNIK | 2011年 / 63卷 / 02期
关键词：
Hopf bifurcation; Delayed differential equations;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：103 / 114
页数：12
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