Abstract
We uncovered a class of transient chaos for which the average lifetime obeys the following scaling law: τ ∼ exp[C0 exp[C 1ε-γ]], 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 language | English (US) |
|---|---|
| Pages (from-to) | 914-920 |
| Number of pages | 7 |
| Journal | Europhysics Letters |
| Volume | 67 |
| Issue number | 6 |
| DOIs | |
| State | Published - Sep 15 2004 |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Cite this
Do, Y., & Lai, Y-C. (2004). Extraordinarily superpersistent chaotic transients. Europhysics Letters, 67(6), 914-920. https://doi.org/10.1209/epl/i2004-10142-5