Abstract and Applied Analysis
Volume 2013 (2013), Article ID 248379, 9 pages
http://dx.doi.org/10.1155/2013/248379
Research Article

Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System

Rina Su, Chunrui Zhang, and Zuolin Shen

Department of Mathematics, Northeast Forestry University, Harbin 150040, China

Received 19 December 2012; Revised 4 February 2013; Accepted 5 February 2013

Academic Editor: Peixuan Weng

Copyright © 2013 Rina Su et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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 equivariant property and the existence of multiple periodic solutions is also discussed. Numerical simulations are presented to illustrate the results in the paper.