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    Rights statement: Preprint of an article published in International Journal of Bifurcation and Chaos, 18, 6, 2008, 1727-1739. 10.1142/S0218127408021312 © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0218127408021312

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Fluctuational escape from chaotic attractors in multistable systems.

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

Published

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Fluctuational escape from chaotic attractors in multistable systems. / Khovanov, I. A.; Luchinsky, Dmitri G.; McClintock, Peter V. E. et al.
In: International Journal of Bifurcation and Chaos, Vol. 18, No. 6, 06.2008, p. 1727-1739.

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

Harvard

Khovanov, IA, Luchinsky, DG, McClintock, PVE & Silchenko, AN 2008, 'Fluctuational escape from chaotic attractors in multistable systems.', International Journal of Bifurcation and Chaos, vol. 18, no. 6, pp. 1727-1739. https://doi.org/10.1142/S0218127408021312

APA

Khovanov, I. A., Luchinsky, D. G., McClintock, P. V. E., & Silchenko, A. N. (2008). Fluctuational escape from chaotic attractors in multistable systems. International Journal of Bifurcation and Chaos, 18(6), 1727-1739. https://doi.org/10.1142/S0218127408021312

Vancouver

Khovanov IA, Luchinsky DG, McClintock PVE, Silchenko AN. Fluctuational escape from chaotic attractors in multistable systems. International Journal of Bifurcation and Chaos. 2008 Jun;18(6):1727-1739. doi: 10.1142/S0218127408021312

Author

Khovanov, I. A. ; Luchinsky, Dmitri G. ; McClintock, Peter V. E. et al. / Fluctuational escape from chaotic attractors in multistable systems. In: International Journal of Bifurcation and Chaos. 2008 ; Vol. 18, No. 6. pp. 1727-1739.

Bibtex

@article{e8975f190d834a74a890fe3fc3bfd4aa,
title = "Fluctuational escape from chaotic attractors in multistable systems.",
abstract = "Recent progress towards an understanding of fluctuational escape from chaotic attractors (CAs) is reviewed and discussed in the contexts of both continuous systems and maps. It is shown that, like the simpler case of escape from a regular attractor, a unique most probable escape path (MPEP) is followed from a CA to the boundary of its basin of attraction. This remains true even where the boundary structure is fractal. The importance of the boundary conditions on the attractor is emphasized. It seems that a generic feature of the escape path is that it passes via certain unstable periodic orbits. The problems still remaining to be solved are identified and considered.",
keywords = "Multistable systems, chaotic systems, stochastic processes, escape, fractal boundary, large fluctuations, optimal path, optimal force, chaos control, hamiltonian system, heteroclinic trajectory.",
author = "Khovanov, {I. A.} and Luchinsky, {Dmitri G.} and McClintock, {Peter V. E.} and Silchenko, {A. N.}",
note = "Preprint of an article published in International Journal of Bifurcation and Chaos, 18, 6, 2008, 1727-1739. 10.1142/S0218127408021312 {\textcopyright} copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0218127408021312",
year = "2008",
month = jun,
doi = "10.1142/S0218127408021312",
language = "English",
volume = "18",
pages = "1727--1739",
journal = "International Journal of Bifurcation and Chaos",
issn = "0218-1274",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "6",

}

RIS

TY - JOUR

T1 - Fluctuational escape from chaotic attractors in multistable systems.

AU - Khovanov, I. A.

AU - Luchinsky, Dmitri G.

AU - McClintock, Peter V. E.

AU - Silchenko, A. N.

N1 - Preprint of an article published in International Journal of Bifurcation and Chaos, 18, 6, 2008, 1727-1739. 10.1142/S0218127408021312 © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0218127408021312

PY - 2008/6

Y1 - 2008/6

N2 - Recent progress towards an understanding of fluctuational escape from chaotic attractors (CAs) is reviewed and discussed in the contexts of both continuous systems and maps. It is shown that, like the simpler case of escape from a regular attractor, a unique most probable escape path (MPEP) is followed from a CA to the boundary of its basin of attraction. This remains true even where the boundary structure is fractal. The importance of the boundary conditions on the attractor is emphasized. It seems that a generic feature of the escape path is that it passes via certain unstable periodic orbits. The problems still remaining to be solved are identified and considered.

AB - Recent progress towards an understanding of fluctuational escape from chaotic attractors (CAs) is reviewed and discussed in the contexts of both continuous systems and maps. It is shown that, like the simpler case of escape from a regular attractor, a unique most probable escape path (MPEP) is followed from a CA to the boundary of its basin of attraction. This remains true even where the boundary structure is fractal. The importance of the boundary conditions on the attractor is emphasized. It seems that a generic feature of the escape path is that it passes via certain unstable periodic orbits. The problems still remaining to be solved are identified and considered.

KW - Multistable systems

KW - chaotic systems

KW - stochastic processes

KW - escape

KW - fractal boundary

KW - large fluctuations

KW - optimal path

KW - optimal force

KW - chaos control

KW - hamiltonian system

KW - heteroclinic trajectory.

U2 - 10.1142/S0218127408021312

DO - 10.1142/S0218127408021312

M3 - Journal article

VL - 18

SP - 1727

EP - 1739

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

SN - 0218-1274

IS - 6

ER -