On nonsmooth perturbations of nondegenerate planar centers
type: Item
instance of: scholarly article
title: On nonsmooth perturbations of nondegenerate planar centers
zbMATH Open document ID: 1323.34023
published in: Publicacions Matemàtiques
publication date: 2014-12-19T00:00:00Z
review text: The author studies the existence of limit cycles of discontinuous planar systems, which are small perturbations of a continuous system with a global center. In previous studies it was considered that the discontinuity set is a regular manifold, while here the assumption is that it is just a union of regular curves. The main tool used in the proof of the main result is the averaging method. Some applications are explained with careful details.
reviewed by: Adriana Buică
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37C27
Mathematics Subject Classification ID: 37C30
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 6381940
zbMATH Keywords: averaging method
zbMATH Keywords: algebraic variety
zbMATH Keywords: periodic solution
zbMATH Keywords: nondegenerate center
zbMATH Keywords: discontinuous differential system
author: Douglas D. Novaes
MaRDI profile type: Publication
full work available at URL: publmat extra14 20
OpenAlex ID: W2027442439
DOI: 10.5565/PUBLMAT_EXTRA14_20
description: scientific article; zbMATH DE number 6381940