Invariant tori fulfilled by periodic orbits for four-dimensional C 2 differential systems in the presence of resonance

Jaume Llibre, Ana Cristina Mereu, Marco A. Teixeira

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2 Citations (Scopus)

Abstract

We provide an algorithm for studying invariant tori fulfilled by periodic orbits of a perturbed system which emerge from the set of periodic orbits of an unperturbed linear system in p : q resonance. We illustrate the algorithm with an application. © 2010 World Scientific Publishing Company.
Original languageEnglish
Pages (from-to)3341-3344
JournalInternational Journal of Bifurcation and Chaos
Volume20
Issue number10
DOIs
Publication statusPublished - 1 Jan 2010

Keywords

  • averaging theory
  • center
  • invariant tori
  • Periodic orbit
  • resonance

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