Global analytic first integrals for the real planar Lotka-Volterra system

Jaume Llibre, Clàudia Valls

Research output: Contribution to journalArticleResearchpeer-review

21 Citations (Scopus)

Abstract

We provide the complete classification of all Lotka-Volterra systems of the form ẋ=x(ax+by+c) and ẏ=y(Ax+By+C) in ℝ2 having a global analytic first integral. © 2007 American Institute of Physics.
Original languageEnglish
Article number033507
JournalJournal of Mathematical Physics
Volume48
DOIs
Publication statusPublished - 10 Apr 2007

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