Extraordinarily superpersistent chaotic transients

Younghae Do, Ying-Cheng Lai

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We uncovered a class of transient chaos for which the average lifetime obeys the following scaling law: tau similar to exp[C-0 exp[C(1)epsilon(-gamma)]], where C-0, C-1, and gamma are positive constants and epsilon is a scaling parameter. This occurs in dynamical systems preceding an unstable-unstable pair bifurcation, subject to noise of amplitude epsilon. The extreme longevity of the transient lifetime for small epsilon is striking, which has not been reported previously. We formulate a theory to explain this type of extraordinarily superpersistent chaotic transients, and point out physical relevance and implications.

Original languageEnglish
Pages (from-to)914-920
Number of pages7
JournalEurophysics Letters
Volume67
Issue number6
DOIs
Publication statusPublished - Sep 2004

Keywords

  • bifurcation

Cite this

Extraordinarily superpersistent chaotic transients. / Do, Younghae; Lai, Ying-Cheng.

In: Europhysics Letters, Vol. 67, No. 6, 09.2004, p. 914-920.

Research output: Contribution to journalArticle

Do, Younghae ; Lai, Ying-Cheng. / Extraordinarily superpersistent chaotic transients. In: Europhysics Letters. 2004 ; Vol. 67, No. 6. pp. 914-920.
@article{34ecac4aac844b758f2f96f1e9d9fe08,
title = "Extraordinarily superpersistent chaotic transients",
abstract = "We uncovered a class of transient chaos for which the average lifetime obeys the following scaling law: tau similar to exp[C-0 exp[C(1)epsilon(-gamma)]], where C-0, C-1, and gamma are positive constants and epsilon is a scaling parameter. This occurs in dynamical systems preceding an unstable-unstable pair bifurcation, subject to noise of amplitude epsilon. The extreme longevity of the transient lifetime for small epsilon is striking, which has not been reported previously. We formulate a theory to explain this type of extraordinarily superpersistent chaotic transients, and point out physical relevance and implications.",
keywords = "bifurcation",
author = "Younghae Do and Ying-Cheng Lai",
year = "2004",
month = "9",
doi = "10.1209/epl/i2004-10142-5",
language = "English",
volume = "67",
pages = "914--920",
journal = "Europhysics Letters",
issn = "0295-5075",
publisher = "EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY",
number = "6",

}

TY - JOUR

T1 - Extraordinarily superpersistent chaotic transients

AU - Do, Younghae

AU - Lai, Ying-Cheng

PY - 2004/9

Y1 - 2004/9

N2 - We uncovered a class of transient chaos for which the average lifetime obeys the following scaling law: tau similar to exp[C-0 exp[C(1)epsilon(-gamma)]], where C-0, C-1, and gamma are positive constants and epsilon is a scaling parameter. This occurs in dynamical systems preceding an unstable-unstable pair bifurcation, subject to noise of amplitude epsilon. The extreme longevity of the transient lifetime for small epsilon is striking, which has not been reported previously. We formulate a theory to explain this type of extraordinarily superpersistent chaotic transients, and point out physical relevance and implications.

AB - We uncovered a class of transient chaos for which the average lifetime obeys the following scaling law: tau similar to exp[C-0 exp[C(1)epsilon(-gamma)]], where C-0, C-1, and gamma are positive constants and epsilon is a scaling parameter. This occurs in dynamical systems preceding an unstable-unstable pair bifurcation, subject to noise of amplitude epsilon. The extreme longevity of the transient lifetime for small epsilon is striking, which has not been reported previously. We formulate a theory to explain this type of extraordinarily superpersistent chaotic transients, and point out physical relevance and implications.

KW - bifurcation

U2 - 10.1209/epl/i2004-10142-5

DO - 10.1209/epl/i2004-10142-5

M3 - Article

VL - 67

SP - 914

EP - 920

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 6

ER -