Hopf bifurcation and symmetry: Standing and travelling waves in a circular chain

Stephan A. van Gils*, Theo Valkering

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

18 Citations (Scopus)

Abstract

We consider a circular chain of N particles with nearest neighbour interaction. Under a condition which is generically fulfilled all periodic solutions near a normal mode frequency are obtained and their symmetry properties are investigated. The genericity condition is explicitly evaluated for a three particle system.

Original languageEnglish
Pages (from-to)207-222
Number of pages16
JournalJapan Journal of Applied Mathematics
Volume3
Issue number2
DOIs
Publication statusPublished - 1 Dec 1986

Keywords

  • Circular chain
  • Hopf bifurcation
  • Standing waves
  • Symmetry
  • Travelling waves

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