STATISTICAL PROPERTIES OF 2-D GENERALIZED HYPERBOLIC ATTRACTORS

被引：22

作者：

AFRAIMOVICH, VS ^{[1
]}

CHERNOV, NI ^{[1
]}

SATAEV, EA ^{[1
]}

机构：

[1] OBNINSK NUCL POWER ENGN INST,OBNINSK 249020,RUSSIA

来源：

CHAOS | 1995年 / 5卷 / 01期

关键词：

D O I：

10.1063/1.166073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. © 1995 American Institute of Physics.

引用

页码：238 / 252

页数：15

共 25 条

[1]

AFRAIMOVICH VS, 1977, DOKL AKAD NAUK SSSR+, V234, P336

[2]

AFRAIMOVICH VS, 1983, T MOSKOW MAT OBSHCH, V44, P150

[3]

Belykh V.N., 1982, SYSTEMS PHASE SYNCHR, P161

[4]

Bunimovich L., 1983, NONLINEAR DYNAMICT, P71