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    Rights statement: Copyright 2003 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. http://dx.doi.org/10.1117/12.491007

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Escape from a chaotic attractor with fractal basin boundaries

Research output: Contribution to Journal/Magazine › Journal article

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Escape from a chaotic attractor with fractal basin boundaries. / Silchenko, Alexander N.; Beri, S.; Luchinsky, D. G. et al.
In: Proceedings of SPIE, Vol. 5114, 07.05.2003, p. 102-107.

Research output: Contribution to Journal/Magazine › Journal article

Harvard

Silchenko, AN, Beri, S, Luchinsky, DG & McClintock, PVE 2003, 'Escape from a chaotic attractor with fractal basin boundaries', Proceedings of SPIE, vol. 5114, pp. 102-107. https://doi.org/10.1117/12.491007

APA

Silchenko, A. N., Beri, S., Luchinsky, D. G., & McClintock, P. V. E. (2003). Escape from a chaotic attractor with fractal basin boundaries. Proceedings of SPIE, 5114, 102-107. https://doi.org/10.1117/12.491007

Vancouver

Silchenko AN, Beri S, Luchinsky DG, McClintock PVE. Escape from a chaotic attractor with fractal basin boundaries. Proceedings of SPIE. 2003 May 7;5114:102-107. doi: 10.1117/12.491007

Author

Silchenko, Alexander N. ; Beri, S. ; Luchinsky, D. G. et al. / Escape from a chaotic attractor with fractal basin boundaries. In: Proceedings of SPIE. 2003 ; Vol. 5114. pp. 102-107.

Bibtex

@article{572d2d2084b14eb49de82927116d0290,
title = "Escape from a chaotic attractor with fractal basin boundaries",
abstract = "We study fluctuational transitions in a discrete dynamical system between two co-existing chaotic attractors separated by a fractal basin boundary. It is shown that there is a generic mechanism of fluctuational transition through a fractal boundary determined by a hierarchy of homoclinic original saddles. The most probable escape path from a chaotic attractors to the fractal boundary is found using both statistical analysis of fluctuational trajectories and Hamiltonian theory of fluctuations.",
author = "Silchenko, {Alexander N.} and S. Beri and Luchinsky, {D. G.} and McClintock, {Peter V. E.}",
note = "Copyright 2003 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. http://dx.doi.org/10.1117/12.491007",
year = "2003",
month = may,
day = "7",
doi = "10.1117/12.491007",
language = "English",
volume = "5114",
pages = "102--107",
journal = "Proceedings of SPIE",
issn = "0277-786X",
publisher = "SPIE",

}

RIS

TY - JOUR

T1 - Escape from a chaotic attractor with fractal basin boundaries

AU - Silchenko, Alexander N.

AU - Beri, S.

AU - Luchinsky, D. G.

AU - McClintock, Peter V. E.

N1 - Copyright 2003 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. http://dx.doi.org/10.1117/12.491007

PY - 2003/5/7

Y1 - 2003/5/7

N2 - We study fluctuational transitions in a discrete dynamical system between two co-existing chaotic attractors separated by a fractal basin boundary. It is shown that there is a generic mechanism of fluctuational transition through a fractal boundary determined by a hierarchy of homoclinic original saddles. The most probable escape path from a chaotic attractors to the fractal boundary is found using both statistical analysis of fluctuational trajectories and Hamiltonian theory of fluctuations.

AB - We study fluctuational transitions in a discrete dynamical system between two co-existing chaotic attractors separated by a fractal basin boundary. It is shown that there is a generic mechanism of fluctuational transition through a fractal boundary determined by a hierarchy of homoclinic original saddles. The most probable escape path from a chaotic attractors to the fractal boundary is found using both statistical analysis of fluctuational trajectories and Hamiltonian theory of fluctuations.

U2 - 10.1117/12.491007

DO - 10.1117/12.491007

M3 - Journal article

VL - 5114

SP - 102

EP - 107

JO - Proceedings of SPIE

JF - Proceedings of SPIE

SN - 0277-786X

ER -