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Noise-induced escape from the Lorenz attractor

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Noise-induced escape from the Lorenz attractor. / Anishchenko, V. S.; Khovanov, I. A.; Khovanova, N. A. et al.
In: Fluctuation and Noise Letters, Vol. 1, No. 1, 03.2001, p. L27-L33.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Anishchenko, VS, Khovanov, IA, Khovanova, NA, Luchinsky, DG & McClintock, PVE 2001, 'Noise-induced escape from the Lorenz attractor', Fluctuation and Noise Letters, vol. 1, no. 1, pp. L27-L33. https://doi.org/10.1142/S0219477501000111

APA

Anishchenko, V. S., Khovanov, I. A., Khovanova, N. A., Luchinsky, D. G., & McClintock, P. V. E. (2001). Noise-induced escape from the Lorenz attractor. Fluctuation and Noise Letters, 1(1), L27-L33. https://doi.org/10.1142/S0219477501000111

Vancouver

Anishchenko VS, Khovanov IA, Khovanova NA, Luchinsky DG, McClintock PVE. Noise-induced escape from the Lorenz attractor. Fluctuation and Noise Letters. 2001 Mar;1(1):L27-L33. doi: 10.1142/S0219477501000111

Author

Anishchenko, V. S. ; Khovanov, I. A. ; Khovanova, N. A. et al. / Noise-induced escape from the Lorenz attractor. In: Fluctuation and Noise Letters. 2001 ; Vol. 1, No. 1. pp. L27-L33.

Bibtex

@article{de7eefcaecd74c889c10999eb8b9c143,
title = "Noise-induced escape from the Lorenz attractor",
abstract = "Noise-induced escape from a quasi-hyperbolic attractor in the Lorenz system is investigated via an analysis of the distributions of both the escape trajectories and the corresponding realizations of the random force. It is shown that a unique escape path exists, and that it consists of three parts with noise playing a different role in each. It is found that the mechanism of the escape from a quasi-hyperbolic attractor differs from that of escape from a non-hyperbolic attractor. The possibility of calculating the escape probability is discussed.",
keywords = "Noise-induced escape, quasi-hyperbolic attractor, non-equilibrium fluctuations, prehistory probability distribution",
author = "Anishchenko, {V. S.} and Khovanov, {I. A.} and Khovanova, {N. A.} and Luchinsky, {D. G.} and McClintock, {Peter V. E.}",
note = " Electronic version of this article published as NOISE-INDUCED ESCAPE FROM THE LORENZ ATTRACTOR V. S. ANISHCHENKO, I. A. KHOVANOV, N. A. KHOVANOVA, D. G. LUCHINSKY, P. V. E. McCLINTOCK in Fluctuation and Noise Letters, 1, 1, 2001, L27-L33 10.1142/S0219477501000111 {\textcopyright} copyright World Scientific Publishing Company http://www.worldscientific.com/toc/fnl/01/01]",
year = "2001",
month = mar,
doi = "10.1142/S0219477501000111",
language = "English",
volume = "1",
pages = "L27--L33",
journal = "Fluctuation and Noise Letters",
issn = "0219-4775",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "1",

}

RIS

TY - JOUR

T1 - Noise-induced escape from the Lorenz attractor

AU - Anishchenko, V. S.

AU - Khovanov, I. A.

AU - Khovanova, N. A.

AU - Luchinsky, D. G.

AU - McClintock, Peter V. E.

N1 - Electronic version of this article published as NOISE-INDUCED ESCAPE FROM THE LORENZ ATTRACTOR V. S. ANISHCHENKO, I. A. KHOVANOV, N. A. KHOVANOVA, D. G. LUCHINSKY, P. V. E. McCLINTOCK in Fluctuation and Noise Letters, 1, 1, 2001, L27-L33 10.1142/S0219477501000111 © copyright World Scientific Publishing Company http://www.worldscientific.com/toc/fnl/01/01]

PY - 2001/3

Y1 - 2001/3

N2 - Noise-induced escape from a quasi-hyperbolic attractor in the Lorenz system is investigated via an analysis of the distributions of both the escape trajectories and the corresponding realizations of the random force. It is shown that a unique escape path exists, and that it consists of three parts with noise playing a different role in each. It is found that the mechanism of the escape from a quasi-hyperbolic attractor differs from that of escape from a non-hyperbolic attractor. The possibility of calculating the escape probability is discussed.

AB - Noise-induced escape from a quasi-hyperbolic attractor in the Lorenz system is investigated via an analysis of the distributions of both the escape trajectories and the corresponding realizations of the random force. It is shown that a unique escape path exists, and that it consists of three parts with noise playing a different role in each. It is found that the mechanism of the escape from a quasi-hyperbolic attractor differs from that of escape from a non-hyperbolic attractor. The possibility of calculating the escape probability is discussed.

KW - Noise-induced escape

KW - quasi-hyperbolic attractor

KW - non-equilibrium fluctuations

KW - prehistory probability distribution

U2 - 10.1142/S0219477501000111

DO - 10.1142/S0219477501000111

M3 - Journal article

VL - 1

SP - L27-L33

JO - Fluctuation and Noise Letters

JF - Fluctuation and Noise Letters

SN - 0219-4775

IS - 1

ER -