Volume 67, Number 6, September 2004
|Page(s)||914 - 920|
|Published online||01 September 2004|
Extraordinarily superpersistent chaotic transients
Department of Mathematics, Arizona State University - Tempe, AZ 85287, USA
2 Departments of Electrical Engineering and Physics, Arizona State University Tempe, AZ 85287, USA
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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