For citation:
Khovanov I. A., Khovanova N. A., McClintock P. Optimal control of fluctuations applied to the suppression of noise-induced failures of chaos stabilization. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 3, pp. 46-55. DOI: 10.18500/0869-6632-2003-11-3-46-55
Optimal control of fluctuations applied to the suppression of noise-induced failures of chaos stabilization
Double strategy of chaos and fluctuation controls is developed. Noise-induced failures in the stabilization of аn unstable orbit in the one-dimensional logistic mар 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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