Limit cycles and center-focus of nonlinear systems
type: Item
instance of: scholarly article
title: Limit cycles and center-focus of nonlinear systems
zbMATH Open document ID: 0923.34030
published in: Applied Mathematics. Series B (English Edition)
publication date: 1999-11-02T00:00:00Z
review text: Two theorems are obtained for the nonlinear system \[ \dot x= h(y)- F(x),\quad \dot y= -g(x), \] to have \(n\) limit cycles (\(n\), any positive integer) or to have a center-focus (when \(n=+\infty\)), the conditions are too complicated to introduce here.
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 1286280
zbMATH Keywords: nonlinear systems
zbMATH Keywords: generalized Liénard system
zbMATH Keywords: limit cycles
zbMATH Keywords: center-focus
author: Xiangrong Wang
author: Maoan Han
reviewed by: Yanqian Ye
MaRDI profile type: Publication
full work available at URL: s11766-998-0049-8
OpenAlex ID: W184257488
cites work: Periodic solutions of Lienard systems
cites work: On the limit cycles of \(y''+\mu F(y')+y = 0\)
cites work: Q4740848
cites work: Q3772544
cites work: Two problems about pseudolinear systems
DOI: 10.1007/S11766-998-0049-8
description: scientific article; zbMATH DE number 1286280