Phase portraits of cubic polynomial vector fields of Lotka-Volterra type having a rational first integral of degree 2

Laurent Cairó, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

20 Citations (Scopus)

Abstract

We classify all the global phase portraits of the cubic polynomial vector fields of Lotka-Volterra type having a rational first integral of degree 2. For such vector fields there are exactly 28 different global phase portraits in the Poincaré disc up to a reversal of sense of all orbits. © 2007 IOP Publishing Ltd.
Original languageEnglish
Article number005
Pages (from-to)6329-6348
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
DOIs
Publication statusPublished - 15 Jun 2007

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