Analytic first integrals of the FitzHugh - Nagumo systems

Jaume Llibre, Clàudia Valls

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6 Citations (Scopus)


We study the analytical integrability of the FitzHugh-Nagumo systems ẋ = z, ẏ = b(x - dy), ż = x(x - 1)(x - a) + y + cz in R3 with parameters a, b, c, d ε R. © 2008 Birkhaeuser.
Original languageEnglish
Pages (from-to)237-245
JournalZeitschrift fur Angewandte Mathematik und Physik
Publication statusPublished - 1 Mar 2009


  • Analytic first integrals
  • FitzHugh-Nagumo equation
  • Integrability

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