On the planar integrable differential systems

Jaume Giné, Jaume Llibre

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10 Citations (Scopus)


In this paper, we prove that the C1 planar differential systems that are integrable and non-Hamiltonian roughly speaking are C1 equivalent to the linear differential systems. Additionally, we show that these systems have always a Lie symmetry. These results are improved for the class of polynomial differential systems defined in R2 or C2. © 2011 Springer Basel AG.
Original languageEnglish
Pages (from-to)567-574
JournalZeitschrift fur Angewandte Mathematik und Physik
Issue number4
Publication statusPublished - 1 Aug 2011


  • Darboux theory of integrability
  • Linear differential systems
  • Planar integrability
  • Polynomial differential systems


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