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

Research output: Contribution to journalJournal article

Published

Journal publication date2003
JournalApplied Nonlinear Dynamics
Journal number3
Volume11
Number of pages10
Pages46-55
Original languageEnglish

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.