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Limit cycles for a class of discontinuous piecewise generalized Kukles differential systems

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The present paper is devoted to study an estimative to the number of limit cycles which bifurcate from the periodic orbits of the linear center $$\dot{x}=y, \dot{y}=-x$$x˙=y,y˙=-x by the averaging… Click to show full abstract

The present paper is devoted to study an estimative to the number of limit cycles which bifurcate from the periodic orbits of the linear center $$\dot{x}=y, \dot{y}=-x$$x˙=y,y˙=-x by the averaging method of first order when it is perturbed inside a class of discontinuous generalized Kukles differential systems defined in 2l-zones, $$l=1,2,3,\ldots $$l=1,2,3,…, in the plane.

Keywords: class discontinuous; differential systems; limit cycles; kukles differential; generalized kukles

Journal Title: Nonlinear Dynamics
Year Published: 2018

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