On the polynomial integrability of the Hoyer systems

Jaume Llibre, Clàudia Valls

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)


The Hoyer polynomial differential systems depend on nine parameters. We provide the necessary conditions in order that these systems have two functionally independent polynomial first integrals. We show that these conditions are not sufficient. Additionally, we illustrate how the polynomial first integrals of these systems can be computed using the Kowalevsky exponents. © 2012 Elsevier Ltd.
Original languageEnglish
Pages (from-to)411-417
JournalJournal of Mathematical Analysis and Applications
Issue number1
Publication statusPublished - 1 Mar 2013


  • Homogeneous differential systems
  • Hoyer systems
  • Polynomial first integrals


Dive into the research topics of 'On the polynomial integrability of the Hoyer systems'. Together they form a unique fingerprint.

Cite this