n-1 independent first integrals for linear differential systems in Rn and Cn

Manuel Falconi, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

9 Citations (Scopus)

Abstract

We prove that every linear system with constant coefficients on Rn or Cn is Darboux integrable by providing a complete explicit list of n - 1 independent Darboux first integrals.
Original languageEnglish
Pages (from-to)233-254
JournalQualitative Theory of Dynamical Systems
Volume4
DOIs
Publication statusPublished - 1 Sep 2004

Keywords

  • Darboux integrability
  • First integral
  • Invariant surface

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