Scaling behavior of transition to chaos in quasiperiodically driven dynamical systems

Ying-Cheng Lai, Ulrike Feudel, Celso Grebogi

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

A route to chaos in quasiperiodically driven dynamical systems is investigated whereby the Lyapunov exponent passes through zero linearly near the transition. A dynamical consequence is that, after the transition, the collective behavior of an ensemble of trajectories on the chaotic attractor exhibits an extreme type of intermittency. The scaling behavior of various measurable quantities near the transition is examined.

Original languageEnglish
Pages (from-to)6070-6073
Number of pages4
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume54
Issue number6
DOIs
Publication statusPublished - 1 Dec 1996

Keywords

  • strange nonchaotic attractors
  • on-off intermittency
  • crisis
  • birth

Cite this

Scaling behavior of transition to chaos in quasiperiodically driven dynamical systems. / Lai, Ying-Cheng; Feudel, Ulrike; Grebogi, Celso.

In: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 54, No. 6, 01.12.1996, p. 6070-6073.

Research output: Contribution to journalArticle

@article{084ad0127b5340628042214e0ed7675b,
title = "Scaling behavior of transition to chaos in quasiperiodically driven dynamical systems",
abstract = "A route to chaos in quasiperiodically driven dynamical systems is investigated whereby the Lyapunov exponent passes through zero linearly near the transition. A dynamical consequence is that, after the transition, the collective behavior of an ensemble of trajectories on the chaotic attractor exhibits an extreme type of intermittency. The scaling behavior of various measurable quantities near the transition is examined.",
keywords = "strange nonchaotic attractors, on-off intermittency, crisis, birth",
author = "Ying-Cheng Lai and Ulrike Feudel and Celso Grebogi",
year = "1996",
month = "12",
day = "1",
doi = "10.1103/PhysRevE.54.6070",
language = "English",
volume = "54",
pages = "6070--6073",
journal = "Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Scaling behavior of transition to chaos in quasiperiodically driven dynamical systems

AU - Lai, Ying-Cheng

AU - Feudel, Ulrike

AU - Grebogi, Celso

PY - 1996/12/1

Y1 - 1996/12/1

N2 - A route to chaos in quasiperiodically driven dynamical systems is investigated whereby the Lyapunov exponent passes through zero linearly near the transition. A dynamical consequence is that, after the transition, the collective behavior of an ensemble of trajectories on the chaotic attractor exhibits an extreme type of intermittency. The scaling behavior of various measurable quantities near the transition is examined.

AB - A route to chaos in quasiperiodically driven dynamical systems is investigated whereby the Lyapunov exponent passes through zero linearly near the transition. A dynamical consequence is that, after the transition, the collective behavior of an ensemble of trajectories on the chaotic attractor exhibits an extreme type of intermittency. The scaling behavior of various measurable quantities near the transition is examined.

KW - strange nonchaotic attractors

KW - on-off intermittency

KW - crisis

KW - birth

U2 - 10.1103/PhysRevE.54.6070

DO - 10.1103/PhysRevE.54.6070

M3 - Article

VL - 54

SP - 6070

EP - 6073

JO - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 6

ER -