Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems
Dynamical Systems
2016-11-03 v2
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.
Cite
@article{arxiv.1607.04319,
title = {Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems},
author = {Jacopo de Simoi and Carlangelo Liverani and Christophe Poquet and Denis Volk},
journal= {arXiv preprint arXiv:1607.04319},
year = {2016}
}
Comments
To appear in Journal of Statistical Physics