Random interval diffeomorphisms

Masoumeh Gharaei; Ale Jan Homburg

doi:10.3934/dcdss.2017012

Random interval diffeomorphisms

Masoumeh Gharaei^*, Ale Jan Homburg

^*Corresponding author for this work

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

We consider a class of step skew product systems of interval diffeo-morphisms 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.

Original language	English
Pages (from-to)	241-272
Number of pages	32
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	10
Issue number	2
DOIs	https://doi.org/10.3934/dcdss.2017012
Publication status	Published - 1 Apr 2017

Keywords

Intermittency
Interval diffeomorphisms
Iterated function systems
Lyapunov expo-nents
Synchronization

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.3934/dcdss.2017012

Persistent URL (handle)

Persistent link

Cite this

@article{d2fda1a7c16a4f809b3337a7d74f4c07,

title = "Random interval diffeomorphisms",

abstract = "We consider a class of step skew product systems of interval diffeo-morphisms 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.",

keywords = "Intermittency, Interval diffeomorphisms, Iterated function systems, Lyapunov expo-nents, Synchronization",

author = "Masoumeh Gharaei and Homburg, {Ale Jan}",

year = "2017",

month = apr,

day = "1",

doi = "10.3934/dcdss.2017012",

language = "English",

volume = "10",

pages = "241--272",

journal = "Discrete and Continuous Dynamical Systems - Series S",

issn = "1937-1632",

publisher = "American Institute of Mathematical Sciences",

number = "2",

}

TY - JOUR

T1 - Random interval diffeomorphisms

AU - Gharaei, Masoumeh

AU - Homburg, Ale Jan

PY - 2017/4/1

Y1 - 2017/4/1

N2 - We consider a class of step skew product systems of interval diffeo-morphisms 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.

AB - We consider a class of step skew product systems of interval diffeo-morphisms 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.

KW - Intermittency

KW - Interval diffeomorphisms

KW - Iterated function systems

KW - Lyapunov expo-nents

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=85010064701&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85010064701&partnerID=8YFLogxK

U2 - 10.3934/dcdss.2017012

DO - 10.3934/dcdss.2017012

M3 - Article

AN - SCOPUS:85010064701

SN - 1937-1632

VL - 10

SP - 241

EP - 272

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 2

ER -

Random interval diffeomorphisms

Abstract

Keywords

UN SDGs

Access to Document

Persistent URL (handle)

Other files and links

Fingerprint

Cite this