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
收藏
页码：241 / 272
页数：32
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