Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems

الملخص EN

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.