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

Escaff, Daniel and Harbola, Upendra and Lindenberg, Katja (2012) Synchronization of globally coupled two-state stochastic oscillators with a state-dependent refractory period. In: PHYSICAL REVIEW E, 86 (1, Par).

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Official URL: http://dx.doi.org/10.1103/PhysRevE.86.011131

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.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the American Physical Society
Department/Centre: Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited: 28 Aug 2012 06:47
Last Modified: 10 Sep 2012 12:26
URI: http://eprints.iisc.ernet.in/id/eprint/44976

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