Extraordinarily superpersistent chaotic transients

Younghae Do, Ying-Cheng Lai

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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
Issue number6
Publication statusPublished - Sep 2004


  • bifurcation


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