Polynomial first integrals for the chen and lü systems

Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)


We characterize all the values of the parameters for which the Chen and Lü systems have polynomial first integrals by using weight homogeneous polynomials and the method of characteristics for solving partial differential equations. We improve previous results which were not complete. © 2012 World Scientific Publishing Company.
Original languageEnglish
Article number1250262
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number11
Publication statusPublished - 1 Jan 2012


  • Chen systems
  • Darboux integrability
  • Darboux polynomials
  • Lü systems
  • exponential factor


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