Phase portraits of quadratic Lotka-Volterra systems with a Darboux invariant in the Poincaré disc

Yudy Bolaños, Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

© 2014 World Scientific Publishing Company. We characterize the global phase portraits in the Poincaré disc of all the planar Lotka-Volterra quadratic polynomial differential systems having a Darboux invariant.
Original languageEnglish
Article number1450032
JournalCommunications in Contemporary Mathematics
Volume16
Issue number6
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • Darboux invariant
  • Phase portrait
  • Poincaré compactification
  • Poincaré disc
  • quadratic Lotka-Volterra systems

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