TY - JOUR
T1 - Extraordinarily superpersistent chaotic transients
AU - Do, Younghae
AU - Lai, Ying-Cheng
N1 - Copyright:
Copyright 2004 Elsevier B.V., All rights reserved.
PY - 2004/9/15
Y1 - 2004/9/15
N2 - 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.
AB - 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.
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U2 - 10.1209/epl/i2004-10142-5
DO - 10.1209/epl/i2004-10142-5
M3 - Article
AN - SCOPUS:4744339310
VL - 67
SP - 914
EP - 920
JO - EPL
JF - EPL
SN - 0295-5075
IS - 6
ER -