Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary
type: Item
instance of: scholarly article
title: Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary
zbMATH Open document ID: 1493.34096
author: Tao Li
author: Jaume Llibre
published in: Physica D
publication date: 2022-02-22T00:00:00Z
review text: This paper deals with limit cycles for a piecewise polynomial system with a non-regular switching boundary, i.e., a switching boundary separating the plane into two angular sectors with two angles, via the averaging theory up to any order. Up to the first two orders, an upper bound of limit cycles is obtained and is proved to be reachable and greater than the case of straight switching line.
reviewed by: Xingwu Chen
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 34A36
zbMATH DE Number: 7479455
zbMATH Keywords: averaging method
zbMATH Keywords: Hilbert's 16th problem
zbMATH Keywords: limit cycles
zbMATH Keywords: discontinuous piecewise polynomial systems
zbMATH Keywords: Liénard systems
MaRDI profile type: Publication
full work available at URL: j.physd.2021.132855
OpenAlex ID: W3128126769
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DOI: 10.1016/J.PHYSD.2021.132855
description: scientific article; zbMATH DE number 7479455