On theC1non-integrability of differential systems via periodic orbits-Reference-Cited by-同舟云学术

On theC1non-integrability of differential systems via periodic orbits

Published:2011-04-06 Issue:4 Volume:22 Page:381-391
ISSN:0956-7925
Container-title:European Journal of Applied Mathematics
language:en
Short-container-title:Eur. J. Appl. Math

Author:

LLIBRE JAUME,VALLS CLÀUDIA

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 Palermo5, 161–191] on the multipliers of a periodic orbit for proving theC1non-integrability of differential systems. We apply these results to Lorenz, Rossler and Michelson systems, among others.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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