Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops
The dynamics of a coupled optoelectronic feedback loops are investigated. Depending on the coupling parameters and the feedback strength, the system exhibits synchronized asymptotically stable equilibrium and Hopf bifurcation. Employing the center manifold theorem and normal form method introduced b...
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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/10.1155/2013/918943 |
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| _version_ | 1832564563833257984 |
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| author | Gang Zhu Junjie Wei |
| author_facet | Gang Zhu Junjie Wei |
| author_sort | Gang Zhu |
| collection | DOAJ |
| description | The dynamics of a coupled optoelectronic feedback loops are investigated. Depending on the coupling parameters and the feedback strength, the system exhibits synchronized asymptotically stable equilibrium and Hopf bifurcation. Employing the center manifold theorem and normal form method introduced by Hassard et al. (1981), we give an algorithm for determining the Hopf bifurcation properties. |
| format | Article |
| id | doaj-art-b45168bc432c4ab981e9199c599e6966 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b45168bc432c4ab981e9199c599e69662025-02-03T01:10:45ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/918943918943Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback LoopsGang Zhu0Junjie Wei1Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaThe dynamics of a coupled optoelectronic feedback loops are investigated. Depending on the coupling parameters and the feedback strength, the system exhibits synchronized asymptotically stable equilibrium and Hopf bifurcation. Employing the center manifold theorem and normal form method introduced by Hassard et al. (1981), we give an algorithm for determining the Hopf bifurcation properties.http://dx.doi.org/10.1155/2013/918943 |
| spellingShingle | Gang Zhu Junjie Wei Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops Abstract and Applied Analysis |
| title | Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops |
| title_full | Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops |
| title_fullStr | Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops |
| title_full_unstemmed | Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops |
| title_short | Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops |
| title_sort | stability and hopf bifurcation analysis of coupled optoelectronic feedback loops |
| url | http://dx.doi.org/10.1155/2013/918943 |
| work_keys_str_mv | AT gangzhu stabilityandhopfbifurcationanalysisofcoupledoptoelectronicfeedbackloops AT junjiewei stabilityandhopfbifurcationanalysisofcoupledoptoelectronicfeedbackloops |