On the C1 non-integrability of differential systems via periodic orbits

Jaume Llibre, Cláudia Valls

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4 Citations (Scopus)

Abstract

We go back to the results of Poincaré[Poincare, H (1891) Sur lintegration des equations differentielles du premier ordre et du premier degre I and II, Rendiconti del circolo matematico di Palermo 5, 161-191] on the multipliers of a periodic orbit for proving the C1 non-integrability of differential systems. We apply these results to Lorenz, Rossler and Michelson systems, among others. © 2011 Cambridge University Press.
Original languageEnglish
Pages (from-to)381-391
JournalEuropean Journal of Applied Mathematics
Volume22
DOIs
Publication statusPublished - 1 Aug 2011

Keywords

  • C integrability, differential systems, periodic orbits 1

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