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

Khovanov, I. A. and Khovanova, N. A. and McClintock, Peter V. E. (2003) Noise-induced failures of chaos stabilization: Large fluctuations and their control. Physical Review E, 67 (5). 051102/1-11. ISSN 1539-3755

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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.

Item Type: Journal Article
Journal or Publication Title: Physical Review E
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 10280
Deposited By: Users 810 not found.
Deposited On: 10 Jul 2008 10:10
Refereed?: Yes
Published?: Published
Last Modified: 23 Aug 2019 00:39
URI: https://eprints.lancs.ac.uk/id/eprint/10280

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