On the polynomial integrability of Kirchoff's equations

Jaume Llibre, Claudia Valls

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3 Citations (Scopus)


We prove that Kirchoff's equations either are completely integrable, or have at most four functionally independent polynomial first integrals. © 2012 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)1417-1420
JournalPhysica D: Nonlinear Phenomena
Issue number17
Publication statusPublished - 1 Sep 2012


  • Analytic first integrals
  • Darboux polynomials
  • Homogeneous differential systems
  • Polynomial first integrals

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