Abstract and Applied Analysis

Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System

Rina Su, Chunrui Zhang, and Zuolin Shen

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Abstract

In this paper, the problem of the stability for mutually delay-coupled semiconductor lasers system is investigated. By analyzing the associated characteristic equation, linear stability is investigated and Hopf bifurcations are demonstrated. The new phenomena such as stability switch is found. The Z 2 equivariant property and the existence of multiple periodic solutions is also discussed. Numerical simulations are presented to illustrate the results in the paper.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 248379, 9 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511787

Digital Object Identifier
doi:10.1155/2013/248379

Mathematical Reviews number (MathSciNet)
MR3035368

Zentralblatt MATH identifier
1383.78031

Citation

Su, Rina; Zhang, Chunrui; Shen, Zuolin. Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System. Abstr. Appl. Anal. 2013 (2013), Article ID 248379, 9 pages. doi:10.1155/2013/248379. https://projecteuclid.org/euclid.aaa/1393511787


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