Circle diffeomorphisms forced by expanding circle maps

被引：10

作者：

Homburg, Ale Jan ^{[1
,2
]}

机构：

[1] Univ Amsterdam, KdV Inst Math, NL-1098 XH Amsterdam, Netherlands

[2] Vrije Univ Amsterdam, Dept Math, NL-1081 HV Amsterdam, Netherlands

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2012年 / 32卷

关键词：

NONHYPERBOLIC ERGODIC MEASURES; SYSTEMS;

D O I：

10.1017/S014338571100068X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the dynamics of skew product maps defined by circle diffeomorphisms forced by expanding circle maps. We construct an open class of such systems that are robustly topologically mixing and for which almost all points in the same fiber converge under iteration. This property follows from the construction of an invariant attracting graph in the natural extension, a skew product of circle diffeomorphisms forced by a solenoid homeomorphism.

引用

页码：2011 / 2024

页数：14

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