A Darboux-type theory of integrability for discrete dynamical systems

Armengol Gasull, Víctor Mañosa

Research output: Contribution to journalArticleResearchpeer-review

13 Citations (Scopus)


There is a method for searching first integrals for polynomial ordinary differential equations (usually called Darboux method) based on the knowledge of several of their invariant algebraic hypersurfaces. We extend this method to discrete dynamical systems, providing a way of searching invariants for them and we give several examples of application.
Original languageEnglish
Pages (from-to)1171-1191
JournalJournal of Difference Equations and Applications
Issue number12
Publication statusPublished - 1 Dec 2002


  • Darboux integrability
  • Differential equations
  • Discrete dynamical system
  • Invariants


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