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2012 Synchronized Hopf Bifurcation Analysis in a Delay-Coupled Semiconductor Lasers System
Gang Zhu, Junjie Wei
J. Appl. Math. 2012: 1-20 (2012). DOI: 10.1155/2012/257635

Abstract

The dynamics of a system of two semiconductor lasers, which are delay coupled via a passive relay within the synchronization manifold, are investigated. Depending on the coupling parameters, the system exhibits synchronized Hopf bifurcation and the stability switches as the delay varies. Employing the center manifold theorem and normal form method, an algorithm is derived for determining the Hopf bifurcation properties. Some numerical simulations are carried out to illustrate the analysis results.

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Gang Zhu. Junjie Wei. "Synchronized Hopf Bifurcation Analysis in a Delay-Coupled Semiconductor Lasers System." J. Appl. Math. 2012 1 - 20, 2012. https://doi.org/10.1155/2012/257635

Information

Published: 2012
First available in Project Euclid: 2 January 2013

zbMATH: 1251.78012
MathSciNet: MR2979448
Digital Object Identifier: 10.1155/2012/257635

Rights: Copyright © 2012 Hindawi

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