Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems

Abstract

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 Friedlin--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.

To appear in Journal of Statistical Physics

References in corpus (5)

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Cited by in corpus (4)

• Edgeworth expansions for slow-fast systems with finite time scale separation
• Projective Cones for Sequential Dispersing Billiards
• Flat traces for a random partially hyperbolic map
• Transport in partially hyperbolic fast-slow systems