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Optimal control of fluctuations applied to the suppression of noise-induced failures of chaos stabilization.

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<mark>Journal publication date</mark>2003
<mark>Journal</mark>Applied Nonlinear Dynamics
Issue number3
Volume11
Number of pages10
Pages (from-to)46-55
<mark>State</mark>Published
<mark>Original language</mark>English

Abstract

Double-strategy of chaos and fluctuation controls is developed. Noise-induced failures in the stabilization of an unstable orbit in the one-dimensional logistic map are considered as large fluctuations from a stable state. The properties of the large fluctuations are examined by determination and analysis of the optimal path and the optimal fluctuational force corresponding to the stabilization failure. The problem of controlling noise-induced large fluctuations is discussed, and methods of control have been developed.