Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor

Mireille Viano, Jaume Llibre, Hector Giacomini

Research output: Contribution to journalArticleResearchpeer-review

22 Citations (Scopus)

Abstract

The theory of bifurcation of limit cycles for perturbed Hamiltonian planar systems was discussed. A limit cycle bifurcates in the perturbed system from the periodic orbits of the unperturbed system. The analytical computation was performed for the bifurcated limit cycles from a Hamiltonian center perturbed by an arbitrary analytical vector field.
Original languageEnglish
Pages (from-to)117-136
JournalNonlinear Analysis, Theory, Methods and Applications
Volume48
DOIs
Publication statusPublished - 1 Jan 2002

Keywords

  • Bifurcations
  • Limit cycles
  • Melnikov functions
  • Planar systems

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