Invariant curves and integrability of planar cr differential systems

Antoni Ferragut, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Copyright © 2018 Rocky Mountain Mathematics Consortium. We improve the known expressions of the Cr differential systems in the plane having a given Cr+1 invariant curve, or a given Cr+1 first integral. Their application to polynomial differential systems having either an invariant algebraic curve, or a first integral, also improves the known results on such systems.
Original languageEnglish
Pages (from-to)1537-1550
JournalRocky Mountain Journal of Mathematics
Volume48
Issue number5
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Cofactor
  • Cr function
  • Darboux theory of integrability
  • Exponential factor
  • Invariant curve
  • Planar differential system

Fingerprint

Dive into the research topics of 'Invariant curves and integrability of planar c<sup>r</sup> differential systems'. Together they form a unique fingerprint.

Cite this