Fluctuational Escape from a Quasi-Hyperbolic Attractor in the Lorenz System.

Physics

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https://doi.org/10.1134/1.1477907
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Fluctuational Escape from a Quasi-Hyperbolic Attractor in the Lorenz System. / Anishchenko, V. S.; Luchinksy, D. G.; McClintock, Peter V. E. et al.
In: Journal of Experimental and Theoretical Physics, Vol. 94, No. 4, 04.2002, p. 821-833.

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

Harvard

Anishchenko, VS, Luchinksy, DG, McClintock, PVE , Khovanov, IA & Khovanova, NA 2002, 'Fluctuational Escape from a Quasi-Hyperbolic Attractor in the Lorenz System.', Journal of Experimental and Theoretical Physics, vol. 94, no. 4, pp. 821-833. https://doi.org/10.1134/1.1477907

APA

Anishchenko, V. S., Luchinksy, D. G., McClintock, P. V. E., Khovanov, I. A., & Khovanova, N. A. (2002). Fluctuational Escape from a Quasi-Hyperbolic Attractor in the Lorenz System. Journal of Experimental and Theoretical Physics, 94(4), 821-833. https://doi.org/10.1134/1.1477907

Vancouver

Anishchenko VS, Luchinksy DG, McClintock PVE , Khovanov IA, Khovanova NA. Fluctuational Escape from a Quasi-Hyperbolic Attractor in the Lorenz System. Journal of Experimental and Theoretical Physics. 2002 Apr;94(4):821-833. doi: 10.1134/1.1477907

Author

Anishchenko, V. S. ; Luchinksy, D. G. ; McClintock, Peter V. E. et al. / Fluctuational Escape from a Quasi-Hyperbolic Attractor in the Lorenz System. In: Journal of Experimental and Theoretical Physics. 2002 ; Vol. 94, No. 4. pp. 821-833.

Bibtex

@article{6b2ba6ea09524a6fb18aaac7fc683445,

title = "Fluctuational Escape from a Quasi-Hyperbolic Attractor in the Lorenz System.",

abstract = "Noise-induced escape from the basin of attraction of a quasi-hyperbolic chaotic attractor in the Lorenz system is considered. The investigation is carried out in terms of the theory of large fluctuations by experimentally analyzing the escape prehistory. The optimal escape trajectory is shown to be unique and determined by the saddle-point manifolds of the Lorenz system. We established that the escape process consists of three stages and that noise plays a fundamentally different role at each of these stages. The dynamics of fluctuational escape from a quasi-hyperbolic attractor is shown to differ fundamentally from the dynamics of escape from a nonhyperbolic attractor considered previously [1]. We discuss the possibility of analytically describing large noise-induced deviations from a quasi-hyperbolic chaotic attractor and outline the range of outstanding problems in this field.",

author = "Anishchenko, {V. S.} and Luchinksy, {D. G.} and McClintock, {Peter V. E.} and Khovanov, {I. A.} and Khovanova, {N. A.}",

note = "Translated from Zhurnal {\'E}ksperimental{\textquoteright}no {\"I} i Teoretichesko {\"I} Fiziki, Vol. 121, No. 4, 2002, pp. 955–970. Original Russian Text Copyright {\textcopyright} 2002 by Anishchenko, Luchinsky, McClintock, Khovanov, Khovanova.",

year = "2002",

month = apr,

doi = "10.1134/1.1477907",

language = "English",

volume = "94",

pages = "821--833",

journal = "Journal of Experimental and Theoretical Physics",

issn = "1063-7761",

publisher = "AMER INST PHYSICS",

number = "4",

}

RIS

TY - JOUR

T1 - Fluctuational Escape from a Quasi-Hyperbolic Attractor in the Lorenz System.

AU - Anishchenko, V. S.

AU - Luchinksy, D. G.

AU - McClintock, Peter V. E.

AU - Khovanov, I. A.

AU - Khovanova, N. A.

N1 - Translated from Zhurnal Éksperimental’no Ï i Teoretichesko Ï Fiziki, Vol. 121, No. 4, 2002, pp. 955–970. Original Russian Text Copyright © 2002 by Anishchenko, Luchinsky, McClintock, Khovanov, Khovanova.

PY - 2002/4

Y1 - 2002/4

N2 - Noise-induced escape from the basin of attraction of a quasi-hyperbolic chaotic attractor in the Lorenz system is considered. The investigation is carried out in terms of the theory of large fluctuations by experimentally analyzing the escape prehistory. The optimal escape trajectory is shown to be unique and determined by the saddle-point manifolds of the Lorenz system. We established that the escape process consists of three stages and that noise plays a fundamentally different role at each of these stages. The dynamics of fluctuational escape from a quasi-hyperbolic attractor is shown to differ fundamentally from the dynamics of escape from a nonhyperbolic attractor considered previously [1]. We discuss the possibility of analytically describing large noise-induced deviations from a quasi-hyperbolic chaotic attractor and outline the range of outstanding problems in this field.

AB - Noise-induced escape from the basin of attraction of a quasi-hyperbolic chaotic attractor in the Lorenz system is considered. The investigation is carried out in terms of the theory of large fluctuations by experimentally analyzing the escape prehistory. The optimal escape trajectory is shown to be unique and determined by the saddle-point manifolds of the Lorenz system. We established that the escape process consists of three stages and that noise plays a fundamentally different role at each of these stages. The dynamics of fluctuational escape from a quasi-hyperbolic attractor is shown to differ fundamentally from the dynamics of escape from a nonhyperbolic attractor considered previously [1]. We discuss the possibility of analytically describing large noise-induced deviations from a quasi-hyperbolic chaotic attractor and outline the range of outstanding problems in this field.

U2 - 10.1134/1.1477907

DO - 10.1134/1.1477907

M3 - Journal article

VL - 94

SP - 821

EP - 833

JO - Journal of Experimental and Theoretical Physics

JF - Journal of Experimental and Theoretical Physics

SN - 1063-7761

IS - 4

ER -

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