Extraordinarily superpersistent chaotic transients

Younghae Do, Ying-Cheng Lai

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

We uncovered a class of transient chaos for which the average lifetime obeys the following scaling law: τ ∼ exp[C0 exp[C 1ε]], where C0, C1, and γ are positive constants and ε is a scaling parameter. This occurs in dynamical systems preceding an unstable-unstable pair bifurcation, subject to noise of amplitude ε. The extreme longevity of the transient lifetime for small ε 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 (US)
Pages (from-to)914-920
Number of pages7
JournalEurophysics Letters
Volume67
Issue number6
DOIs
StatePublished - Sep 15 2004

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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