Liouvillian and analytic first integrals for the brusselator system

Jaume Llibre, Clàudia Valls

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Abstract

We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x′ = a -(b + 1)x + x 2y, y′ = bx -x 2y, with a, b ∈ , called the Brusselator differential systems. © J. Llibre and C. Valls.
Original languageEnglish
Article number1250016
JournalJournal of Nonlinear Mathematical Physics
Volume19
Issue number2
DOIs
Publication statusPublished - 1 Jun 2012

Keywords

  • analytic first integral
  • Brusselator differential systems
  • Darboux polynomial
  • exponential factor
  • Liouvillian first integral

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