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.
de Simoi, J., Liverani, C., Poquet, C., Volk, D. (2017). Fast–Slow Partially Hyperbolic Systems Versus Freidlin–Wentzell Random Systems. JOURNAL OF STATISTICAL PHYSICS, 166(3-4), 650-679 [10.1007/s10955-016-1628-3].
Fast–Slow Partially Hyperbolic Systems Versus Freidlin–Wentzell Random Systems
LIVERANI, CARLANGELO;
2017-01-01
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.| File | Dimensione | Formato | |
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