The uniqueness of limit cycles for Liénard system
type: Item
instance of: scholarly article
title: The uniqueness of limit cycles for Liénard system
zbMATH Open document ID: 1078.34016
author: Yu-Rong Zhou
author: Chengwen Wang
author: Denis Blackmore
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-18T00:00:00Z
review text: The paper contains the attempt to generalize the most frequently used theorems on the uniqueness of a limit cycle for the Liénard system. Special attention has been paid to eleven propositions which are based on the well-known Zhang theorem. The authors present a new set of theorems that guarantee the uniqueness of a limit cycle, and derive an improved general theorem.
reviewed by: Alexander Grin
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 2157694
zbMATH Keywords: limit cycle
zbMATH Keywords: Hilbert's 16th problem
zbMATH Keywords: quadratic system
zbMATH Keywords: Liénard system
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.09.037
OpenAlex ID: W2037881920
cites work: Q3715459
cites work: Q3250788
cites work: Q5634278
cites work: Q5615538
cites work: Q3154325
cites work: Q4463388
cites work: Q5669600
cites work: Q5669601
cites work: Q3828315
cites work: Q4715040
cites work: Q4271827
cites work: Q4777690
DOI: 10.1016/J.JMAA.2004.09.037
description: scientific article; zbMATH DE number 2157694