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arXiv · 1607.04319

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

Jacopo de Simoi·Carlangelo Liverani·Christophe Poquet·Denis Volk
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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.

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Jacopo de Simoi, Carlangelo Liverani, Christophe Poquet, Denis Volk. 2016-09-19. Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems. https://doi.org/10.1007/s10955-016-1628-3

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