Cusp points and pitchfork interactions in equivariant bifurcation problems
type: Item
instance of: scholarly article
title: Cusp points and pitchfork interactions in equivariant bifurcation problems
zbMATH Open document ID: 0789.58059
author: Daniela Lupo
author: A. Vanderbauwhede
published in: Differential and Integral Equations
publication date: 1993-11-01T00:00:00Z
review text: The relation between the concept of a cusp point for a mapping between Banach spaces and the interaction of two classical pitchfork bifurcations in equivariant spaces is considered. 2 parameter problems are considered by an approach based on linear normal form theory, Lyapunov-Schmidt reduction and restriction to solutions with appropriate isotropies. Results are applied to some boundary value problems.
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 438728
zbMATH Keywords: cusp point
zbMATH Keywords: pitchfork bifurcations
zbMATH Keywords: boundary value problems
reviewed by: B. F. Gray
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 438728