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

共 50 条

[1] Growth of Groups and Diffeomorphisms of the Interval
Andrés Navas
Geometric and Functional Analysis, 2008, 18 : 988 - 1028
[2] Growth of groups and diffeomorphisms of the interval
Navas, Andres
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2008, 18 (03) : 988 - 1028
[3] Mather invariant, distortion, and conjugates for diffeomorphisms of the interval
Eynard-Bontemps, Helene
Navas, Andres
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 281 (09)
[4] Invariant manifolds for products of random diffeomorphisms
Dahlke S.
Journal of Dynamics and Differential Equations, 1997, 9 (2) : 157 - 210
[5] Near invariance and local transience for random diffeomorphisms
Colonius, Fritz
Homburg, Ale Jan
Kliemann, Wolfgang
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (2-3) : 127 - 141
[6] A universal nilpotent group of C1 diffeomorphisms of the interval
Jorquera, Eduardo
TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (08) : 2115 - 2126
[7] On mostly expanding diffeomorphisms
Andersson, Martin
Vasquez, Carlos H.
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2018, 38 : 2838 - 2859
[8] TOPOLOGICAL QUASI-STABILITY OF PARTIALLY HYPERBOLIC DIFFEOMORPHISMS UNDER RANDOM PERTURBATIONS
Zhu, Yujun
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (02) : 869 - 882
[9] Positive Exponents for Random Products of Conservative Surface Diffeomorphisms and Some Skew Products
Obata, Davi
Poletti, Mauricio
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 34 (03) : 2405 - 2428
[10] A new take on random interval homeomorphisms
Morawiec, Janusz
Zurcher, Thomas
FUNDAMENTA MATHEMATICAE, 2022, 257 (01) : 1 - 18

← 1 2 3 4 5 →