On the Darboux Integrability of Polynomial Differential Systems

Jaume Llibre, Xiang Zhang

Research output: Contribution to journalArticleResearchpeer-review

34 Citations (Scopus)

Abstract

This is a survey on recent results on the Darboux integrability of polynomial vector fields in ℝn or ℂn with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals. © 2011 Springer Basel AG.
Original languageEnglish
Pages (from-to)129-144
JournalQualitative Theory of Dynamical Systems
Volume11
Issue number1
DOIs
Publication statusPublished - 1 Dec 2012

Keywords

  • Darboux integrability
  • Polynomial differential systems
  • Polynomial vector fields

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