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Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems

DOI: 10.1155/2012/690453

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Abstract:

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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