Fractal dimensions of chaotic saddles of dynamical systems

被引：44
|
作者：
Hunt, BR
Ott, E
Yorke, JA
机构：
[1] UNIV MARYLAND,DEPT ELECT ENGN,COLLEGE PK,MD 20742
[2] UNIV MARYLAND,DEPT PHYS,COLLEGE PK,MD 20742
[3] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742
来源：
PHYSICAL REVIEW E | 1996年 / 54卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.54.4819
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
A formula, applicable to invertible maps of arbitrary dimensionality, is derived for the information dimensions of the natural measures of a nonattracting chaotic set and of its stable and unstable manifolds. The result gives these dimensions in terms of the Lyapunov exponents and the decay time of the associated chaotic transient. As an example, the formula is applied to the physically interesting situation of filtering of data from chaotic systems.
引用
收藏
页码：4819 / 4823
页数：5
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