Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems | Zendy

Yanqin Xiong | Zendy; Maoan Han | Zendy

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Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems

Author(s) -

Yanqin Xiong,

Maoan Han

Publication year - 2012

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 - 10.1155/2012/690453

Subject(s) - mathematics , limit (mathematics) , hopf bifurcation , limit cycle , bifurcation , class (philosophy) , mathematical analysis , pure mathematics , nonlinear system , physics , quantum mechanics , artificial intelligence , computer science

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

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