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arxiv: nlin/0311025 · v1 · pith:DBIMLQQJnew · submitted 2003-11-13 · 🌊 nlin.CD

Bifurcations due to small time-lag in coupled excitable systems

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keywords bifurcationscoupleddynamicsexcitablesmallactsapproximatebautin
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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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