On the polynomial integrability of the Hoyer systems

Jaume Llibre, Clàudia Valls

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1 Citation (Scopus)

Abstract

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
Volume399
Issue number1
DOIs
Publication statusPublished - 1 Mar 2013

Keywords

  • Homogeneous differential systems
  • Hoyer systems
  • Polynomial first integrals

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