| Issue |
Europhys. Lett.
Volume 67, Number 6, September 2004
|
|
|---|---|---|
| Page(s) | 914 - 920 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2004-10142-5 | |
| Published online | 01 September 2004 | |
Extraordinarily superpersistent chaotic transients
1
Department of Mathematics, Arizona State University - Tempe, AZ 85287, USA
2
Departments of Electrical Engineering and Physics, Arizona State University Tempe, AZ 85287, USA
Received:
7
June
2004
Accepted:
8
July
2004
We uncovered a class of transient chaos for which the average
lifetime obeys the following scaling law:
, 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.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
© EDP Sciences, 2004
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