Journal of Applied Mathematics

Synchronized Hopf Bifurcation Analysis in a Delay-Coupled Semiconductor Lasers System

Gang Zhu and Junjie Wei

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 257635, 20 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153508

Digital Object Identifier
doi:10.1155/2012/257635

Mathematical Reviews number (MathSciNet)
MR2979448

Zentralblatt MATH identifier
1251.78012

Citation

Zhu, Gang; Wei, Junjie. Synchronized Hopf Bifurcation Analysis in a Delay-Coupled Semiconductor Lasers System. J. Appl. Math. 2012 (2012), Article ID 257635, 20 pages. doi:10.1155/2012/257635. https://projecteuclid.org/euclid.jam/1357153508


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