On the integrability of a Muthuswamy-Chua system

Jaume Llibre, Claudia Valls

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4 Citations (Scopus)


In this paper we study the integrability of the Muthuswamy-Chua system $$x′=y, y′= -x/3+fracy/2-yz2/2, z′=y-αz-yz. For α=0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals. © 2012 2012 The Author(s).
Original languageEnglish
Article number12500295
JournalJournal of Nonlinear Mathematical Physics
Issue number4
Publication statusPublished - 1 Dec 2012


  • Chua system
  • Darboux integrability
  • Darboux polynomials
  • exponential factor
  • generalized rational first integrals


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