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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Noise-induced failures of chaos stabilization: Large fluctuations and their control.
AU - Khovanov, I. A.
AU - Khovanova, N. A.
AU - McClintock, Peter V. E.
PY - 2003/5/9
Y1 - 2003/5/9
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevE.67.051102
DO - 10.1103/PhysRevE.67.051102
M3 - Journal article
VL - 67
SP - 051102/1-11
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 5
ER -