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.
ASJC Scopus subject areas
- Physics and Astronomy(all)