Local stable and unstable manifolds for Anosov families

被引：0
|
作者：
Muentes Acevedo, Jeovanny de Jesus [1 ]
机构：
[1] Univ Tecnol Bolivar, Fac Ciencias Basicas, Cartagena De Indias, Colombia
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2019年 / 48卷 / 03期
关键词：
Anosov families; invariant manifolds; Hadamard-Perron Theorem; random hyperbolic dynamical systems; non-stationary dynamical systems; non-autonomous dynamical systems;
D O I：
10.14492/hokmj/1573722016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. They are time-dependent dynamical systems with hyperbolic behavior. In addition to presenting several properties and examples of Anosov families, in this paper we build local stable and local manifolds for such families.
引用
收藏
页码：513 / 535
页数：23
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