Perturbations of graphics with semi-hyperbolic singularities
type: Item
instance of: scholarly article
title: Perturbations of graphics with semi-hyperbolic singularities
zbMATH Open document ID: 0882.58039
author: Mohamed El Morsalani
published in: Bulletin des Sciences Mathématiques
publication date: 1997-06-26T00:00:00Z
review text: A very interesting study of the cyclicity of semi-hyperbolic points is done. Namely, bifurcations of limit cycles in the neighbourhood of elementary graphics whose vertices are semi-hyperbolic points of finite codimension are dealt with. The result is first obtained for graphics with two vertices, then generalized. Fine calculus is done, much in the spirit of R. Roussarie (see the bibliography), but also very ingenious. Among the elementary singular points (hyperbolic, elliptic and semi-hyperbolic), semi-hyperbolic vertices are the most difficult to study.
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 1013719
zbMATH Keywords: dynamical systems
zbMATH Keywords: cyclicity
zbMATH Keywords: semi-hyperbolic points
zbMATH Keywords: bifurcations
zbMATH Keywords: limit cycles
reviewed by: Zofia Denkowska
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1013719