Bifurcation of limit cycles from quadratic centers
type: Item
instance of: scholarly article
title: Bifurcation of limit cycles from quadratic centers
zbMATH Open document ID: 0833.34029
author: Douglas S. Shafer
author: André Zegeling
published in: Journal of Differential Equations
publication date: 1995-10-29T00:00:00Z
review text: The purpose of the paper is to determine the maximum number and relative positions of limit cycles which can appear in a quadratic system possessing at least one center under slight quadratic perturbation. Combining the use of the Pontryagin integrals with the theory of rotated vector fields, the authors determine the geometric form of the bifurcation sets for multiple limit cycles and for separatrix cycles.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 810062
zbMATH Keywords: maximum number and relative positions of limit cycles
zbMATH Keywords: quadratic system
zbMATH Keywords: quadratic perturbation
zbMATH Keywords: Pontryagin integrals
zbMATH Keywords: rotated vector fields
zbMATH Keywords: bifurcation sets
zbMATH Keywords: multiple limit cycles
zbMATH Keywords: separatrix cycles
reviewed by: Yuriy V. Rogovchenko
MaRDI profile type: Publication
full work available at URL: jdeq.1995.1138
OpenAlex ID: W2067893339
DOI: 10.1006/JDEQ.1995.1138
description: scientific article; zbMATH DE number 810062