Master Stability Functions for Synchronized Coupled Systems

Louis M. Pecora and Thomas L. Carroll
Phys. Rev. Lett. 80, 2109 – Published 9 March 1998
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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.

  • Received 7 July 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.2109

©1998 American Physical Society

Authors & Affiliations

Louis M. Pecora and Thomas L. Carroll

  • Code 6343, Naval Research Laboratory, Washington, D.C. 20375

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Issue

Vol. 80, Iss. 10 — 9 March 1998

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