On nonsmooth perturbations of nondegenerate planar centers

• Autores: Douglas D. Novaes
• Localización: Publicacions matematiques, ISSN 0214-1493, Nº. Extra 0 (Proceedings of the Conference “New Trends in Dynamical Systems” held in Salou (Tarragona), Spain, 1-), 2014, págs. 395-420
• Idioma: inglés
• DOI: 10.5565/PUBLMAT_Extra14_20
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• Resumen

  • 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.