Computing the differential of an unfolded contact diffeomorphism.
type: Item
instance of: scholarly article
title: Computing the differential of an unfolded contact diffeomorphism.
zbMATH Open document ID: 1099.34007
DOI: 10.1023/A:1022950819918
author: Klaus Böhmer
author: Drahoslava Janovská
author: Vladimir Janovský
published in: Applications of Mathematics
publication date: 2006-11-21T00:00:00Z
full work available at URL: https://eudml.org/doc/33131
review text: The authors construct algorithms for a computation of the differential \(D\Phi (0)\) of a diffeomorphism \(\Phi \) linking the solution set of a bifurcation problem with the corresponding unfolded normal form. They consider cases of codim \(\leq 3\), corank \(=1\) bifurcation singularities, in particular, pitchfork, hysteresis, assymetric cusp and winged cusp. In each particular case, they formulate the data necessary for the computation of \(D\Phi (0)\).
reviewed by: Jan Eisner
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 37C05
zbMATH DE Number: 5074673
zbMATH Keywords: bifurcation points
zbMATH Keywords: imperfect bifurcation diagrams
zbMATH Keywords: qualitative analysis
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5074673