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differential systems

European Journal of Applied Mathematics (1)

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On the C1 non-integrability of differential systems via periodic orbits
JAUME LLIBRE, CLÀUDIA VALLS
Journal:

European Journal of Applied Mathematics / Volume 22 / Issue 4 / August 2011

Published online by Cambridge University Press:

06 April 2011, pp. 381-391
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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 the C1 non-integrability of differential systems. We apply these results to Lorenz, Rossler and Michelson systems, among others.