Local Darboux first integrals of analytic differential systems

Jaume Llibre, Sebastian Walcher, Xiang Zhang

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

We discuss local and formal Darboux first integrals of analytic differential systems, using the theory of Poincaré-Dulac normal forms, and we study the effect of local Darboux integrability on analytic normalization. Moreover we determine local restrictions on classical Darboux integrability of polynomial systems. © 2013 Elsevier Masson SAS.
Original languageEnglish
Pages (from-to)71-88
JournalBulletin des Sciences Mathematiques
Volume138
Issue number1
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • Analytic differential system
  • Local Darboux first integral
  • Poincaré-Dulac normal form
  • Polynomial differential system

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