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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/10.1117/12.489017

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Solution of the boundary value problem for nonlinear flows and maps

Research output: Contribution to Journal/Magazine › Journal article

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Solution of the boundary value problem for nonlinear flows and maps. / Beri, Stefano; Luchinsky, Dmitrii G.; Silchenko, Alexander et al.
In: Proceedings of SPIE, Vol. 5114, 07.05.2003, p. 372-382.

Research output: Contribution to Journal/Magazine › Journal article

Harvard

Beri, S, Luchinsky, DG, Silchenko, A & McClintock, PVE 2003, 'Solution of the boundary value problem for nonlinear flows and maps', Proceedings of SPIE, vol. 5114, pp. 372-382. https://doi.org/10.1117/12.489017

APA

Beri, S., Luchinsky, D. G., Silchenko, A., & McClintock, P. V. E. (2003). Solution of the boundary value problem for nonlinear flows and maps. Proceedings of SPIE, 5114, 372-382. https://doi.org/10.1117/12.489017

Vancouver

Beri S, Luchinsky DG, Silchenko A, McClintock PVE. Solution of the boundary value problem for nonlinear flows and maps. Proceedings of SPIE. 2003 May 7;5114:372-382. doi: 10.1117/12.489017

Author

Beri, Stefano ; Luchinsky, Dmitrii G. ; Silchenko, Alexander et al. / Solution of the boundary value problem for nonlinear flows and maps. In: Proceedings of SPIE. 2003 ; Vol. 5114. pp. 372-382.

Bibtex

@article{413ebe4d37c547d688e7661ff7844c91,
title = "Solution of the boundary value problem for nonlinear flows and maps",
abstract = "Fluctuational escape via an unstable limit cycle is investigated in stochastic flows and maps. A new topological method is suggested for analysis of the corresponding boundary value problems when the action functional has multiple local minima along the escape trajectories and the search for the global minimum is otherwise impossible. The method is applied to the analysis of the escape problem in the inverted Van der Pol oscillator and in the Henon map. An application of this technique to solution of the escape problem in chaotic maps with fractal boundaries, and in maps with chaotic saddles embedded within the basin of attraction, is discussed.",
author = "Stefano Beri and Luchinsky, {Dmitrii G.} and Alexander Silchenko 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/10.1117/12.489017",
year = "2003",
month = may,
day = "7",
doi = "10.1117/12.489017",
language = "English",
volume = "5114",
pages = "372--382",
journal = "Proceedings of SPIE",
issn = "0277-786X",
publisher = "SPIE",

}

RIS

TY - JOUR

T1 - Solution of the boundary value problem for nonlinear flows and maps

AU - Beri, Stefano

AU - Luchinsky, Dmitrii G.

AU - Silchenko, Alexander

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/10.1117/12.489017

PY - 2003/5/7

Y1 - 2003/5/7

N2 - Fluctuational escape via an unstable limit cycle is investigated in stochastic flows and maps. A new topological method is suggested for analysis of the corresponding boundary value problems when the action functional has multiple local minima along the escape trajectories and the search for the global minimum is otherwise impossible. The method is applied to the analysis of the escape problem in the inverted Van der Pol oscillator and in the Henon map. An application of this technique to solution of the escape problem in chaotic maps with fractal boundaries, and in maps with chaotic saddles embedded within the basin of attraction, is discussed.

AB - Fluctuational escape via an unstable limit cycle is investigated in stochastic flows and maps. A new topological method is suggested for analysis of the corresponding boundary value problems when the action functional has multiple local minima along the escape trajectories and the search for the global minimum is otherwise impossible. The method is applied to the analysis of the escape problem in the inverted Van der Pol oscillator and in the Henon map. An application of this technique to solution of the escape problem in chaotic maps with fractal boundaries, and in maps with chaotic saddles embedded within the basin of attraction, is discussed.

U2 - 10.1117/12.489017

DO - 10.1117/12.489017

M3 - Journal article

VL - 5114

SP - 372

EP - 382

JO - Proceedings of SPIE

JF - Proceedings of SPIE

SN - 0277-786X

ER -