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

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Noise-induced failures of chaos stabilization: Large fluctuations and their control. / Khovanov, I. A.; Khovanova, N. A.; McClintock, Peter V. E.
In: Physical Review E, Vol. 67, No. 5, 09.05.2003, p. 051102/1-11.

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Khovanov IA, Khovanova NA, McClintock PVE. Noise-induced failures of chaos stabilization: Large fluctuations and their control. Physical Review E. 2003 May 9;67(5):051102/1-11. doi: 10.1103/PhysRevE.67.051102

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Khovanov, I. A. ; Khovanova, N. A. ; McClintock, Peter V. E. / Noise-induced failures of chaos stabilization: Large fluctuations and their control. In: Physical Review E. 2003 ; Vol. 67, No. 5. pp. 051102/1-11.

Bibtex

@article{c3b05c1f64594a8fa350ba4f6d328ff4,
title = "Noise-induced failures of chaos stabilization: Large fluctuations and their control.",
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.",
author = "Khovanov, {I. A.} and Khovanova, {N. A.} and McClintock, {Peter V. E.}",
year = "2003",
month = may,
day = "9",
doi = "10.1103/PhysRevE.67.051102",
language = "English",
volume = "67",
pages = "051102/1--11",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "5",

}

RIS

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 -