RANDOM INTERVAL DIFFEOMORPHISMS

被引：21

作者：

Gharaei, Masoumeh ^{[1
]}

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

机构：

[1] Univ Amsterdam, KdV Inst Math, Sci Pk 107, NL-1098 XG Amsterdam, Netherlands

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2017年 / 10卷 / 02期

关键词：

Iterated function systems; interval diffeomorphisms; Lyapunov exponents; synchronization; intermittency; RANDOM LOGISTIC MAPS; ATTRACTORS; BIFURCATIONS; SYSTEMS; SETS;

D O I：

10.3934/dcdss.2017012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of step skew product systems of interval diffeomorphisms over shift operators, as a means to study random compositions of interval diffeomorphisms. The class is chosen to present in a simplified setting intriguing phenomena of intermingled basins, master-slave synchronization and on-off intermittency. We provide a self-contained discussion of these phenomena.

引用

页码：241 / 272

页数：32

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