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Bifurcations due to small time-lag in coupled excitable systems

Nikola Buric·Dragana Todorovic
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Abstract

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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Nikola Buric, Dragana Todorovic. 2003-11-13. Bifurcations due to small time-lag in coupled excitable systems. https://arxiv.org/abs/nlin/0311025

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