Research output: Contribution to Journal/Magazine › Journal article
Research output: Contribution to Journal/Magazine › Journal article
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TY - JOUR
T1 - Optimal control of fluctuations applied to the suppression of noise-induced failures of chaos stabilization.
AU - Khovanov, I. A.
AU - Khovanova, N. A.
AU - McClintock, Peter V. E.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
M3 - Journal article
VL - 11
SP - 46
EP - 55
JO - Applied Nonlinear Dynamics
JF - Applied Nonlinear Dynamics
SN - 2164-6473
IS - 3
ER -