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Article Dans Une Revue Journal of Statistical Physics Année : 2017

Fast–Slow Partially Hyperbolic Systems Versus Freidlin–Wentzell Random Systems

Résumé

We consider a simple class of fast-slow partially hyperbolic dynamical systems and show that the (properly rescaled) behaviour of the slow variable is very close to a Freidlin–Wentzell type random system for times that are rather long, but much shorter than the metastability scale. Also, we show the possibility of a “sink” with all the Lyapunov exponents positive, a phenomenon that turns out to be related to the lack of absolutely continuity of the central foliation.

Dates et versions

hal-02071326 , version 1 (18-03-2019)

Identifiants

Citer

Jacopo de Simoi, Carlangelo Liverani, Christophe Poquet, Denis Volk. Fast–Slow Partially Hyperbolic Systems Versus Freidlin–Wentzell Random Systems. Journal of Statistical Physics, 2017, 166 (3-4), pp.650-679. ⟨10.1007/s10955-016-1628-3⟩. ⟨hal-02071326⟩
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