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.
               
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