Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems
We consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated from the origin when parameters vary. We establish a method of studying cyclicity of the system at the origin. As an application, we discuss some discontinuous Liénard systems of special form and stu...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/690453 |
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| _version_ | 1849472930391523328 |
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| author | Yanqin Xiong Maoan Han |
| author_facet | Yanqin Xiong Maoan Han |
| author_sort | Yanqin Xiong |
| collection | DOAJ |
| description | We consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated from the origin when parameters vary. We establish a method of studying cyclicity of the system at the origin. As an application, we discuss some discontinuous Liénard systems of special form and study the cyclicity near the origin. |
| format | Article |
| id | doaj-art-db510daf54624c5fa36c2e8399932869 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-db510daf54624c5fa36c2e83999328692025-08-20T03:24:21ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/690453690453Hopf Bifurcation of Limit Cycles in Discontinuous Liénard SystemsYanqin Xiong0Maoan Han1Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaWe consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated from the origin when parameters vary. We establish a method of studying cyclicity of the system at the origin. As an application, we discuss some discontinuous Liénard systems of special form and study the cyclicity near the origin.http://dx.doi.org/10.1155/2012/690453 |
| spellingShingle | Yanqin Xiong Maoan Han Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems Abstract and Applied Analysis |
| title | Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems |
| title_full | Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems |
| title_fullStr | Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems |
| title_full_unstemmed | Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems |
| title_short | Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems |
| title_sort | hopf bifurcation of limit cycles in discontinuous lienard systems |
| url | http://dx.doi.org/10.1155/2012/690453 |
| work_keys_str_mv | AT yanqinxiong hopfbifurcationoflimitcyclesindiscontinuouslienardsystems AT maoanhan hopfbifurcationoflimitcyclesindiscontinuouslienardsystems |