Statistical properties of 2-D generalized hyperbolic attractors.
Recently Pesin introduced a large class of hyperbolic attractors, and for those attractors he established the Smale spectral decomposition. In this paper our main results are a stretched exponential bound on the decay of correlations and the central limit theorem. Also we will obtain conditions under which two well known attractors-those of Belykh and Lozi-are subject to our main results. (c) 1995 American Institute of Physics.
Afraimovich
V. S.
VS
Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology, Atlanta, Georgia 30332Institute of Nuclear Power Engineering, Obninsk 249020, Studgorodok, Russia.
Chernov
N. I.
NI
Sataev
E. A.
EA