On the birth of minimal sets for perturbed reversible vector fields

Jaume Llibre, Ricardo Miranda Martins, Marco Antonio Teixeira

Research output: Contribution to journalReview articleResearchpeer-review

Abstract

The results in this paper fit into a program to study the existence of periodic orbits, invariant cylinders and tori filled with periodic orbits in perturbed reversible systems. Here we focus on bifurcations of one-parameter families of periodic orbits for reversible vector fields in R4. The main used tools are normal forms theory, Lyapunov-Schmidt method and averaging theory.
Original languageEnglish
Pages (from-to)763-777
JournalDiscrete and Continuous Dynamical Systems
Volume31
Issue number3
DOIs
Publication statusPublished - 1 Nov 2011

Keywords

  • Averaging method
  • Invariant torus
  • Isochronous center
  • Limit cycle
  • Periodic orbit
  • Reversible system

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