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    Rights statement: This is the author’s version of a work that was accepted for publication in Physica A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica A, 327, 3-4, 2003 DOI: 10.1016/S0378-4371(03)00265-6

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Noise-induced escape through a fractal basin boundary

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

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Noise-induced escape through a fractal basin boundary. / Silchenko, A. N.; Luchinsky, D. G.; McClintock, Peter V. E.
In: Physica A: Statistical Mechanics and its Applications, Vol. 327, No. 3-4, 15.09.2003, p. 371-377.

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

Harvard

Silchenko, AN, Luchinsky, DG & McClintock, PVE 2003, 'Noise-induced escape through a fractal basin boundary', Physica A: Statistical Mechanics and its Applications, vol. 327, no. 3-4, pp. 371-377. https://doi.org/10.1016/S0378-4371(03)00265-6

APA

Silchenko, A. N., Luchinsky, D. G., & McClintock, P. V. E. (2003). Noise-induced escape through a fractal basin boundary. Physica A: Statistical Mechanics and its Applications, 327(3-4), 371-377. https://doi.org/10.1016/S0378-4371(03)00265-6

Vancouver

Silchenko AN, Luchinsky DG, McClintock PVE. Noise-induced escape through a fractal basin boundary. Physica A: Statistical Mechanics and its Applications. 2003 Sept 15;327(3-4):371-377. doi: 10.1016/S0378-4371(03)00265-6

Author

Silchenko, A. N. ; Luchinsky, D. G. ; McClintock, Peter V. E. / Noise-induced escape through a fractal basin boundary. In: Physica A: Statistical Mechanics and its Applications. 2003 ; Vol. 327, No. 3-4. pp. 371-377.

Bibtex

@article{7559e7ae23764cae84c7364d7293bcd0,
title = "Noise-induced escape through a fractal basin boundary",
abstract = "We study noise-induced escape within a discrete dynamical system that has two co-existing chaotic attractors in phase space separated by a locally disconnected fractal basin boundary. It is shown that escape occurs via a unique accessible point on the fractal boundary. The structure of escape paths is determined by the original saddles forming the homoclinic structure of the system and by their hierarchical interrelations.",
keywords = "Fractal basin boundary, Noise-induced escape, Saddle cycles, Hierarchy",
author = "Silchenko, {A. N.} and Luchinsky, {D. G.} and McClintock, {Peter V. E.}",
note = "This is the author{\textquoteright}s version of a work that was accepted for publication in Physica A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica A, 327, 3-4, 2003 DOI: 10.1016/S0378-4371(03)00265-6",
year = "2003",
month = sep,
day = "15",
doi = "10.1016/S0378-4371(03)00265-6",
language = "English",
volume = "327",
pages = "371--377",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",
number = "3-4",

}

RIS

TY - JOUR

T1 - Noise-induced escape through a fractal basin boundary

AU - Silchenko, A. N.

AU - Luchinsky, D. G.

AU - McClintock, Peter V. E.

N1 - This is the author’s version of a work that was accepted for publication in Physica A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica A, 327, 3-4, 2003 DOI: 10.1016/S0378-4371(03)00265-6

PY - 2003/9/15

Y1 - 2003/9/15

N2 - We study noise-induced escape within a discrete dynamical system that has two co-existing chaotic attractors in phase space separated by a locally disconnected fractal basin boundary. It is shown that escape occurs via a unique accessible point on the fractal boundary. The structure of escape paths is determined by the original saddles forming the homoclinic structure of the system and by their hierarchical interrelations.

AB - We study noise-induced escape within a discrete dynamical system that has two co-existing chaotic attractors in phase space separated by a locally disconnected fractal basin boundary. It is shown that escape occurs via a unique accessible point on the fractal boundary. The structure of escape paths is determined by the original saddles forming the homoclinic structure of the system and by their hierarchical interrelations.

KW - Fractal basin boundary

KW - Noise-induced escape

KW - Saddle cycles

KW - Hierarchy

U2 - 10.1016/S0378-4371(03)00265-6

DO - 10.1016/S0378-4371(03)00265-6

M3 - Journal article

VL - 327

SP - 371

EP - 377

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 3-4

ER -