Multidimensional nonhyperbolic attractors

被引：0
|
作者：
Marcelo Viana
机构：
[1] IMPA,
[2] Est. D. Castorina 110 Jardim Botânico,undefined
来源：
Publications Mathématiques de l'Institut des Hautes Études Scientifiques | 1997年 / 85卷 / 1期
关键词：
Lyapunov Exponent; Strange Attractor; Morse Function; Positive Lyapunov Exponent; Positive Lebesgue Measure;
D O I：
10.1007/BF02699535
中图分类号：
学科分类号：
摘要：
We construct smooth transformations and diffeomorphisms exhibiting nonuniformly hyperbolic attractors with multidimensional sensitiveness on initial conditions: typical orbits in the basin of attraction have several expanding directions. These systems also illustrate a new robust mechanism of sensitive dynamics: despite the nonuniform character of the expansion, the attractor persists in a full neighbourhood of the initial map.
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页码：63 / 96
页数：33
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