Onset of time dependence in ensembles of excitable elements with global repulsive coupling

Year:

2016

Publication:

Phys. Rev. E 93, 020201(R)

Abstract:

We consider the effect of global repulsive coupling on an ensemble of identical excitable elements. An increase of the coupling strength destabilizes the synchronous equilibrium and replaces it with many attracting oscillatory states, created in the transcritical heteroclinic bifurcation. The period of oscillations is inversely proportional to the distance from the critical parameter value.

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