An algorithm to approach invariant curves

Chi-Jer Yu*, Jong Eao Lee

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We develop an algorithm to identify invariant curves efficiently. In dynamical systems, it helps do continuations of branches of quasi-periodic solutions smoothly in bifurcation diagrams. Several examples are demonstrated to provide the numerical evidence for the versatility of the algorithm.

Original languageEnglish
Pages (from-to)30-42
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume149
Issue number1-2
DOIs
StatePublished - 1 Feb 2001

Keywords

  • Algorithm
  • Invariant
  • Numerical
  • Quasi-periodic
  • Tori

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