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

Jaume Llibre; Cláudia Valls

doi:https://doi.org/10.1017/S0956792511000143

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

Jaume Llibre, Cláudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

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 language	English
Pages (from-to)	381-391
Journal	European Journal of Applied Mathematics
Volume	22
DOIs	https://doi.org/10.1017/S0956792511000143
Publication status	Published - 1 Aug 2011

Keywords

C integrability, differential systems, periodic orbits 1

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