Bifurcations due to Small Time-Lag in Coupled Excitable Systems
نویسندگان
چکیده
A system of ODE’s is used to attempt an approximation of the dynamics of two delayed coupled FitzHugh-Nagumo excitable units, described by delay-differential equations. It is shown that the codimension 2 generalized Hopf bifurcation acts as the organizing center for the dynamics of ODE’s for small time-lags. Furthermore, this is used to explain important qualitative properties of the exact dynamics for small time-delays. PACS 05.45.Xt; 02.30.Ks ∗e-mail: [email protected]
منابع مشابه
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ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 15 شماره
صفحات -
تاریخ انتشار 2005