×

On the averaging method in a system with fast hyperbolic motions. (Russian. English summary) Zbl 0954.37017

The averaging principle for the dynamical systems with fast and slow motions is studied. It is supposed that the fast motions depend on the slow one and goes along a hyperbolic intermixing attractor. A smooth averaged system is constructed. A variant of the central limit theorem is proved, i.e. the Cramer asymptotic for the slow variable large deviations is found.

MSC:

37D05 Dynamical systems with hyperbolic orbits and sets
37H05 General theory of random and stochastic dynamical systems
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
PDFBibTeX XMLCite