Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity
type: Item
instance of: scholarly article
title: Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity
zbMATH Open document ID: 1227.34032
DOI: 10.1134/S1064562410050042
published in: Doklady Mathematics
publication date: 2011-03-17T00:00:00Z
review text: The authors develop a modification of the method of asymptotic integration of Lienard systems and propose an analytical-numerical procedure making it possible to extend the domain of coefficients corresponding to the existence of a limit cycle in a quadratic system with a weak focus of order 3. The obtained result is interesting.
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 5866976
zbMATH Keywords: limit cycle
zbMATH Keywords: quadratic system
zbMATH Keywords: weak focus
zbMATH Keywords: saddle equilibrium
zbMATH Keywords: infinity
author: G. A. Leonov
author: N. V. Kuznetsov
reviewed by: Changpin Li
MaRDI profile type: Publication
Wikidata QID: Q109716943
cites work: Limit cycles of the Liénard equation with discontinuous coefficients
cites work: Cycles of two-dimensional systems: computer calculations, proofs, and experiments
cites work: Q5748135
full work available at URL: s1064562410050042
OpenAlex ID: W2097979756
description: scientific article; zbMATH DE number 5866976