Bifurcations due to small time-lag in coupled excitable systems

2003/11/13 by Nikola Burić, Buric, Nikola, Dragana Todorović +1
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #stochastic dynamics and bifurcation #Chaos control and synchronization

paper · pdf · doi:10.48550/arxiv.nlin/0311025

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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