Master Stability Functions for Synchronized Coupled Systems

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Abstract

We show that many coupled oscillator array configurations considered in the literature can be put into a simple form so that determining the stability of the synchronous state can be done by a master stability function, which can be tailored to one's choice of stability requirement. This solves, once and for all, the problem of synchronous stability for any linear coupling of that oscillator.

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Louis M. Pecora

United States Naval Research Laboratory

Thomas L. Carroll

United States Naval Research Laboratory

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Physical Review Letters

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United States Naval Research Laboratory

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Pecora et al. (Mon,) studied this question.

synapsesocial.com/papers/69dbdc9037b5141e3ba3d625 — DOI: https://doi.org/10.1103/physrevlett.80.2109

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<title>Riddled basins and other practical problems in coupled synchronized chaotic circuits</title>· 1995 · 11 citations
Coupled stationary bifurcations in non-flux boundary value problems· 1987 · 71 citations
Integrability of a globally coupled oscillator array· 1993 · 290 citations

Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

MONOTONE SYNCHRONIZATION OF CHAOS· 1996 · 83 citations
Coupled oscillators and the design of central pattern generators· 1988 · 251 citations
<title>Riddled basins and other practical problems in coupled synchronized chaotic circuits</title>· 1995 · 11 citations
Coupled stationary bifurcations in non-flux boundary value problems· 1987 · 71 citations
Integrability of a globally coupled oscillator array· 1993 · 290 citations

Master Stability Functions for Synchronized Coupled Systems

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