On the Noise-Induced Passage Through an Unstable Periodic Orbit I: Two-Level Model
نویسندگان
چکیده
منابع مشابه
On the noise-induced passage through an unstable periodic orbit I: Two-level model
We consider the problem of stochastic exit from a planar domain, whose boundary is an unstable periodic orbit, and which contains a stable periodic orbit. This problem arises when investigating the distribution of noise-induced phase slips between synchronized oscillators, or when studying stochastic resonance far from the adiabatic limit. We introduce a simple, piecewise linear model equation,...
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Consider a dynamical system given by a planar differential equation, which exhibits an unstable periodic orbit surrounding a stable periodic orbit. It is known that under random perturbations, the distribution of locations where the system’s first exit from the interior of the unstable orbit occurs, typically displays the phenomenon of cycling: The distribution of first-exit locations is transl...
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15 صفحه اولUnstable Periodic Orbit Analysis of Histograms of Chaotic Time Series
Using the Lorenz equations, we have investigated whether unstable periodic orbits (UPOs) associated with a strange attractor may predict the occurrence of the robust sharp peaks in histograms of some experimental chaotic time series. Histograms with sharp peaks occur for the Lorenz parameter value r = 60.0 but not for r = 28.0, and the sharp peaks for r = 60.0 do not correspond to any single hi...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2004
ISSN: 0022-4715
DOI: 10.1023/b:joss.0000013966.54504.da