On nonsmooth perturbations of nondegenerate planar centers

Douglas D. Novaes

doi:pm/1400505242

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Home > Journals > Publ. Mat. > Volume 58 > Issue S1 > Article

2014 On nonsmooth perturbations of nondegenerate planar centers

Douglas D. Novaes

Publ. Mat. 58(S1): 395-420 (2014).

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Abstract

We provide sufficient conditions for the existence of limit cycles of non-smooth perturbed planar centers when the discontinuity set is a union of regular curves. We introduce a mechanism which allows us to deal with such systems. The main tool used in this paper is the averaging method. Some applications are explained with careful details.