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Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System
Author(s) -
Rina Su,
Chunrui Zhang,
Zuolin Shen
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/248379
Subject(s) - stability (learning theory) , semiconductor , mathematics , laser , semiconductor laser theory , equivariant map , computer simulation , algorithm , computer science , physics , pure mathematics , optics , statistics , optoelectronics , machine learning
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 Z2 equivariant property and the existence of multiple periodic solutions is also discussed. Numerical simulations are presented to illustrate the results in the paper

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