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Noise-induced failures of chaos stabilization: Large fluctuations and their control.

Research output: Contribution to journalJournal article

Published

Journal publication date9/05/2003
JournalPhysical Review E
Journal number5
Volume67
Pages051102/1-11
Original languageEnglish

Abstract

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.