Synchronization of globally coupled two-state stochastic oscillators with a state-dependent refractory period

Daniel Elias Escaff, Upendra Harbola, Katja Lindenberg

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10 Scopus citations

Abstract

We present a model of identical coupled two-state stochastic units, each of which in isolation is governed by a fixed refractory period. The nonlinear coupling between units directly affects the refractory period, which now depends on the global state of the system and can therefore itself become time dependent. At weak coupling the array settles into a quiescent stationary state. Increasing coupling strength leads to a saddle node bifurcation, beyond which the quiescent state coexists with a stable limit cycle of nonlinear coherent oscillations. We explicitly determine the critical coupling constant for this transition.

Original languageEnglish
Article number011131
JournalPhysical Review E
Volume86
Issue number1
DOIs
StatePublished - 27 Jul 2012

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