Strange Attractors with One Direction of Instability

被引：0
|
作者：
Qiudong Wang
Lai-Sang Young
机构：
[1] Department of Mathematics,
[2] University of Arizona,undefined
[3] Tucson,undefined
[4] AZ 85721,undefined
[5] USA.¶E-mail: dwang@math.arizona.edu,undefined
[6] Courant Institute of Mathematical Sciences,undefined
[7] 251 Mercer St.,undefined
[8] New York,undefined
[9] NY 10012,undefined
[10] USA.¶E-mail:lsy@cims.nyu.edu,undefined
[11] Department of Mathematics,undefined
[12] UCLA,undefined
[13] Los Angeles,undefined
[14] CA 90095,undefined
[15] USA. E-mail: lsy@math.ucla.edu,undefined
来源：
Communications in Mathematical Physics | 2001年 / 218卷
关键词：
Entropy; Lyapunov Exponent; Exponential Decay; Simple Condition; Control Behavior;
D O I：
暂无
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学科分类号：
摘要：
We give simple conditions that guarantee, for strongly dissipative maps, the existence of strange attractors with a single direction of instability and certain controlled behaviors. Only the d= 2 case is treated in this paper, although our approach is by no means limited to two phase-dimensions. We develop a dynamical picture for the attractors in this class, proving they have many of the statistical properties associated with chaos: positive Lyapunov exponents, existence of SRB measures, and exponential decay of correlations. Other results include the geometry of fractal critical sets, nonuniform hyperbolic behavior, symbolic coding of orbits, and formulas for topological entropy.
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页码：1 / 97
页数：96
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