On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers

Ilker E. Colak, Jaume Llibre, Claudia Valls

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1 Citation (Scopus)

Abstract

© 2017, Springer International Publishing. We study the number of limit cycles bifurcating from the period annulus of a real planar polynomial Hamiltonian ordinary differential system with a center at the origin when it is perturbed in the class of polynomial vector fields of a given degree.
Original languageEnglish
Article number40
JournalMediterranean Journal of Mathematics
Volume14
Issue number2
DOIs
Publication statusPublished - 1 Apr 2017

Keywords

  • center
  • Hamiltonian system
  • limit cycle
  • Melnikov function
  • Ordinary differential system
  • planar system
  • polynomial system

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