Polynomial and rational integrability of polynomial hamiltonian systems

Jaume Llibre, Cristina Stoica, Clàudia Valls

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)


Within the class of canonical polynomial Hamiltonian systems anti-symmetric under phase-space involutions, we generalize some results on the existence of Darboux polynomial and rational first integrals for "kinetic plus potential" systems to general systems. © 2012 Texas State University - San Marcos.
Original languageEnglish
JournalElectronic Journal of Differential Equations
Publication statusPublished - 26 Jun 2012


  • Darboux polynomial
  • Polynomial Hamiltonian systems
  • Polynomial first integrals
  • Rational first integrals


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