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

Details Noise-induced failures of chaos stabilization: large fluctuations and their control Noise-induced failures of chaos stabilization: large fluctuations and their control

2003-02-12

arxiv.org/abs/nlin/0302029v1

Nonlinear Sciences

Chaotic Dynamics

14 pages, 11 figures, submitt to Phys.Rev.E

Scientific paper

10.1103/PhysRevE.67.051102

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.

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