The invariant tori for the 2-mode damped, driven sine-Gordon ODE

Chi-Jer Yu*, Jong Eao Lee

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

An algorithm for presenting the entire branches of quasiperiodic solutions starting from the bifurcation points in the branches of periodic solutions in an interval of parameters for the 2-mode damped, driven sine-Gordon ODE is discussed. The algorithm is applied to the other Hopf bifurcation point on the same branch. It is observed that the invariant curves in the new branch behave in opposite ways, i.e. they are relatively much more stable in dynamics yet their geometry is unstable.

Original languageEnglish
Pages (from-to)505-509
Number of pages5
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume13
Issue number2
DOIs
StatePublished - 1 Jan 2003

Keywords

  • Bifurcation
  • Invariant
  • Numerical
  • Quasiperiodic
  • Tori

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