Strange nonchaotic attractors in random dynamical systems

Xingang Wang, Meng Zhan, Choy Heng Lai, Ying-Cheng Lai

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems other than quasiperiodically driven systems has long been an open question. Here we show, based on a physical analysis and numerical evidence, that robust SNAs can be induced by small noise in autonomous discrete-time maps and in periodically driven continuous-time systems. These attractors, which are relevant to physical and biological applications, can thus be expected to occur more commonly in dynamical systems than previously thought.

Original languageEnglish
Article number074102
Pages (from-to)-
Number of pages4
JournalPhysical Review Letters
Volume92
Issue number7
DOIs
Publication statusPublished - 20 Feb 2004

Keywords

  • periodically driven systems
  • forced systems
  • transition
  • chaos
  • birth
  • route

Cite this

Strange nonchaotic attractors in random dynamical systems. / Wang, Xingang; Zhan, Meng; Lai, Choy Heng; Lai, Ying-Cheng.

In: Physical Review Letters, Vol. 92, No. 7, 074102, 20.02.2004, p. -.

Research output: Contribution to journalArticle

Wang, Xingang ; Zhan, Meng ; Lai, Choy Heng ; Lai, Ying-Cheng. / Strange nonchaotic attractors in random dynamical systems. In: Physical Review Letters. 2004 ; Vol. 92, No. 7. pp. -.
@article{792dad94b56942ed8fa138f454889b54,
title = "Strange nonchaotic attractors in random dynamical systems",
abstract = "Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems other than quasiperiodically driven systems has long been an open question. Here we show, based on a physical analysis and numerical evidence, that robust SNAs can be induced by small noise in autonomous discrete-time maps and in periodically driven continuous-time systems. These attractors, which are relevant to physical and biological applications, can thus be expected to occur more commonly in dynamical systems than previously thought.",
keywords = "periodically driven systems, forced systems, transition, chaos, birth, route",
author = "Xingang Wang and Meng Zhan and Lai, {Choy Heng} and Ying-Cheng Lai",
year = "2004",
month = "2",
day = "20",
doi = "10.1103/PhysRevLett.92.074102",
language = "English",
volume = "92",
pages = "--",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "7",

}

TY - JOUR

T1 - Strange nonchaotic attractors in random dynamical systems

AU - Wang, Xingang

AU - Zhan, Meng

AU - Lai, Choy Heng

AU - Lai, Ying-Cheng

PY - 2004/2/20

Y1 - 2004/2/20

N2 - Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems other than quasiperiodically driven systems has long been an open question. Here we show, based on a physical analysis and numerical evidence, that robust SNAs can be induced by small noise in autonomous discrete-time maps and in periodically driven continuous-time systems. These attractors, which are relevant to physical and biological applications, can thus be expected to occur more commonly in dynamical systems than previously thought.

AB - Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems other than quasiperiodically driven systems has long been an open question. Here we show, based on a physical analysis and numerical evidence, that robust SNAs can be induced by small noise in autonomous discrete-time maps and in periodically driven continuous-time systems. These attractors, which are relevant to physical and biological applications, can thus be expected to occur more commonly in dynamical systems than previously thought.

KW - periodically driven systems

KW - forced systems

KW - transition

KW - chaos

KW - birth

KW - route

U2 - 10.1103/PhysRevLett.92.074102

DO - 10.1103/PhysRevLett.92.074102

M3 - Article

VL - 92

SP - -

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 7

M1 - 074102

ER -