Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/248379 |
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| _version_ | 1850225498084343808 |
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| author | Rina Su Chunrui Zhang Zuolin Shen |
| author_facet | Rina Su Chunrui Zhang Zuolin Shen |
| author_sort | Rina Su |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-590b9b3d1bc249e5b805e8d96ba38503 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-590b9b3d1bc249e5b805e8d96ba385032025-08-20T02:05:20ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/248379248379Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers SystemRina Su0Chunrui Zhang1Zuolin Shen2Department of Mathematics, Northeast Forestry University, Harbin 150040, ChinaDepartment of Mathematics, Northeast Forestry University, Harbin 150040, ChinaDepartment of Mathematics, Northeast Forestry University, Harbin 150040, ChinaIn 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.http://dx.doi.org/10.1155/2013/248379 |
| spellingShingle | Rina Su Chunrui Zhang Zuolin Shen Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System Abstract and Applied Analysis |
| title | Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System |
| title_full | Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System |
| title_fullStr | Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System |
| title_full_unstemmed | Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System |
| title_short | Stability Analysis for Mutually Delay-Coupled Semiconductor Lasers System |
| title_sort | stability analysis for mutually delay coupled semiconductor lasers system |
| url | http://dx.doi.org/10.1155/2013/248379 |
| work_keys_str_mv | AT rinasu stabilityanalysisformutuallydelaycoupledsemiconductorlaserssystem AT chunruizhang stabilityanalysisformutuallydelaycoupledsemiconductorlaserssystem AT zuolinshen stabilityanalysisformutuallydelaycoupledsemiconductorlaserssystem |