Bifurcations of continuous dynamical systems under extreme and new transversality conditions
type: Item
instance of: scholarly article
title: Bifurcations of continuous dynamical systems under extreme and new transversality conditions
zbMATH Open document ID: 1166.37019
author: J. Martínez
published in: Applied Mathematics and Computation
publication date: 2009-04-30T00:00:00Z
review text: The paper considers the local structure of the zero set \(f(\mu,x)=0\), where \(\mu\) is a parameter, under the assumption that \(f:\mathbb{R}^2\rightarrow \mathbb{R}\) is analytic, near a bifurcation point. Results characterizing the nature of the bifurcation (transcritical, pitchfork) are derived for degenerate cases, for which the transversality conditions required by the classical bifurcation theorems do not hold.
reviewed by: Guy Katriel
Mathematics Subject Classification ID: 37G10
zbMATH DE Number: 5550271
zbMATH Keywords: local bifurcation
zbMATH Keywords: degenerate conditions
MaRDI profile type: Publication
full work available at URL: j.amc.2008.10.026
OpenAlex ID: W1979172495
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DOI: 10.1016/J.AMC.2008.10.026
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description: scientific article; zbMATH DE number 5550271