Bifurcations in Volume-Preserving Systems

Henk W. Broer*, Heinz Hanßmann

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We give a survey on local and semi-local bifurcations of divergence-free vector fields. These differ for low dimensions from ‘generic’ bifurcations of structure-less ‘dissipative’ vector fields, up to a dimension-threshold that grows with the co-dimension of the bifurcation.

Original languageEnglish
Pages (from-to)3-32
Number of pages30
JournalActa Applicandae Mathematicae
Volume162
Issue number1
DOIs
Publication statusPublished - 1 Aug 2019

Keywords

  • Divergence-free vector field
  • Double Hopf bifurcation
  • KAM theory
  • Quasi-periodic stability
  • Volume-preserving Hopf bifurcation

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