Fluctuation-induced escape from the basin of attraction of a quasiattractor |
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Authors: | D G Luchinski I A Khovanov |
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Institution: | (1) Department of Physics, Lancaster University Lancaster, LA1 4 YB, UK;(2) Saratov State University, 410026 Saratov, Russia |
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Abstract: | Noise-induced escape from the basin of attraction of a strange attractor (SA) in a periodically excited nonlinear oscillator
is investigated. It is shown by numerical simulation methods that escape occurs in two steps: transfer of the system from
the SA to a close-lying saddle cycle along several optimal trajectories, and a subsequent fluctuation-induced transfer from
the basin of attraction of the SA along a single optimal trajectory. The possibility of using the results of this work to
solve problems of the optimal control of switchings from an attractor and for constructing theoretical estimates of the escape
probability is discussed.
Pis’ma Zh. éksp. Teor. Fiz. 69, No. 11, 782–787 (10 June 1999) |
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