Multiple Hopf bifurcation and chaotic reversing waves in problems with O(2) symmetry

Research output: Contribution to journalArticle

Abstract

Multiple Hopf bifurcation in problems with O(2) symmetry leads to the standing and the traveling wave solutions. Swapping the branches at this point is considered by studying an O(2) symmetric problem on . The torus-doubling cascade bifurcations are investigated using canonical coordinate transformation. It is shown that direction reversing chaos can be obtained through a symmetry-increasing bifurcation.
Original languageEnglish
Article number1
Pages (from-to)1831-1838
Number of pages8
JournalInternational Journal of Bifurcation and Chaos
Volume14
Issue number5
DOIs
Publication statusPublished - 5 May 2004

Keywords

  • Multiple Hopf bifurcation
  • traveling waves
  • torus bifurcation
  • direction reversing chaos

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