Intermittency in chaotic rotations

Y C  Lai; D  Armbruster; E J  Kostelich; Ying-Cheng Lai

Intermittency in chaotic rotations

Y C Lai, D Armbruster, E J Kostelich, Ying-Cheng Lai

Physics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

We examine the rotational dynamics associated with bounded chaotic flows, such as those on chaotic attractors, and find that the dynamics typically exhibits on-off intermittency. In particular, a properly defined chaotic rotation tends to follow, approximately, the phase-space rotation of a harmonic oscillator with occasional bursts away from this nearly uniform rotation. The intermittent behavior is identified in several well studied chaotic systems, and an argument is provided for the generality of this behavior.

Original language	English
Pages (from-to)	R29-R32
Number of pages	4
Journal	Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	62
Issue number	1
Publication status	Published - Jul 2000

Keywords

ON-OFF INTERMITTENCY
PHASE SYNCHRONIZATION
OSCILLATORS
SYSTEMS
TRANSITION
SPECTRUM

Cite this

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title = "Intermittency in chaotic rotations",

abstract = "We examine the rotational dynamics associated with bounded chaotic flows, such as those on chaotic attractors, and find that the dynamics typically exhibits on-off intermittency. In particular, a properly defined chaotic rotation tends to follow, approximately, the phase-space rotation of a harmonic oscillator with occasional bursts away from this nearly uniform rotation. The intermittent behavior is identified in several well studied chaotic systems, and an argument is provided for the generality of this behavior.",

keywords = "ON-OFF INTERMITTENCY, PHASE SYNCHRONIZATION, OSCILLATORS, SYSTEMS, TRANSITION, SPECTRUM",

author = "Lai, {Y C} and D Armbruster and Kostelich, {E J} and Ying-Cheng Lai",

year = "2000",

month = jul,

language = "English",

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pages = "R29--R32",

journal = "Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",

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TY - JOUR

T1 - Intermittency in chaotic rotations

AU - Lai, Y C

AU - Armbruster, D

AU - Kostelich, E J

AU - Lai, Ying-Cheng

PY - 2000/7

Y1 - 2000/7

N2 - We examine the rotational dynamics associated with bounded chaotic flows, such as those on chaotic attractors, and find that the dynamics typically exhibits on-off intermittency. In particular, a properly defined chaotic rotation tends to follow, approximately, the phase-space rotation of a harmonic oscillator with occasional bursts away from this nearly uniform rotation. The intermittent behavior is identified in several well studied chaotic systems, and an argument is provided for the generality of this behavior.

AB - We examine the rotational dynamics associated with bounded chaotic flows, such as those on chaotic attractors, and find that the dynamics typically exhibits on-off intermittency. In particular, a properly defined chaotic rotation tends to follow, approximately, the phase-space rotation of a harmonic oscillator with occasional bursts away from this nearly uniform rotation. The intermittent behavior is identified in several well studied chaotic systems, and an argument is provided for the generality of this behavior.

KW - ON-OFF INTERMITTENCY

KW - PHASE SYNCHRONIZATION

KW - OSCILLATORS

KW - SYSTEMS

KW - TRANSITION

KW - SPECTRUM

M3 - Article

SN - 1063-651X

VL - 62

SP - R29-R32

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

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

IS - 1

ER -

Intermittency in chaotic rotations

Abstract

Keywords

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