Periodic orbits for real planar polynomial vector fields of degree n having n invariant straight lines taking into account their multiplicities

Jaume Llibre, Ana Rodrigues

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© 2015, University of Szeged. All rights reserved. We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n = 1,2,3 are completely characterized.
Original languageEnglish
Article number55
JournalElectronic Journal of Qualitative Theory of Differential Equations
Volume2015
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • Invariant straight lines
  • Limit cycles
  • Periodic orbits
  • Polynomial differential systems
  • Polynomial vector fields

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