Bifurcations due to small time-lag in coupled excitable systems

Details Bifurcations due to small time-lag in coupled excitable systems Bifurcations due to small time-lag in coupled excitable systems

2003-11-13

arxiv.org/abs/nlin/0311025v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

A system of ODE's is used to approximate the dynamics of two delayed coupled
FitzHugh-Nagumo excitable units, and study the relevant bifurcations. It is
shown that the Bautin bifurcation acts as the organizing center for the
dynamics of ODE's for small time-lags.

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