When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space

Fabio Scalco Dias, Jaume Llibre, Luis Fernando Mello

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1 Citation (Scopus)

Abstract

© 2016 World Scientific Publishing Company. We study polynomial vector fields of arbitrary degree in ℝ3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore, we analyze when these invariant meridians and parallels can be limit cycles.
Original languageEnglish
Article number1650160
JournalInternational Journal of Bifurcation and Chaos
Volume26
Issue number9
DOIs
Publication statusPublished - 1 Aug 2016

Keywords

  • invariant meridian
  • invariant parallel
  • limit cycle
  • periodic orbit
  • Polynomial vector field

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