Breakdown of symmetry in reversible systems

Lev M. Lerman, Dimitry Turaev

Research output: Contribution to journalReview articlepeer-review

21 Scopus citations

Abstract

We review results on local bifurcations of codimension 1 in reversible systems (flows and diffeomorphisms) which lead to the birth of attractor-repeller pairs from symmetric equilibria (for flows) or periodic points (for diffeomorphisms).

Original languageEnglish
Pages (from-to)318-336
Number of pages19
JournalRegular and Chaotic Dynamics
Volume17
Issue number3-4
DOIs
StatePublished - 1 Jan 2012
Externally publishedYes

Keywords

  • bifurcation
  • equilibrium state
  • periodic point
  • reversible diffeomorphism
  • reversible system
  • symmetry

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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