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Fluctuational transitions across locally-disconnected and locally-connected fractal basin boundaries

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Fluctuational transitions across locally-disconnected and locally-connected fractal basin boundaries. / Silchenko, A. N.; Beri, S.; Luchinsky, D. G. et al.
In: Applied Nonlinear Dynamics, Vol. 11, No. 3, 2003, p. 38-44.

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Silchenko, A. N. ; Beri, S. ; Luchinsky, D. G. et al. / Fluctuational transitions across locally-disconnected and locally-connected fractal basin boundaries. In: Applied Nonlinear Dynamics. 2003 ; Vol. 11, No. 3. pp. 38-44.

Bibtex

@article{0de0e2031f64459383fada167dc18de5,
title = "Fluctuational transitions across locally-disconnected and locally-connected fractal basin boundaries",
abstract = "We study fluctuational transitions in a discrete dynamical system that has two coexisting attractors in phase space, separated by a fractal basin boundary which may be either locally-disconnected or locally-connected. It is shown that, in each case, transitions occur via an accessible point on the boundary. The complicated structure of paths inside the locally-disconnected fractal boundary is determined by a hierarchy of homoclinic original saddles. The most probable escape path to the fractal boundary is found for each type of boundary using both statistical analyses of fluctuational trajectories and the Hamiltonian theory of fluctuations.",
author = "Silchenko, {A. N.} and S. Beri and Luchinsky, {D. G.} and McClintock, {Peter V. E.}",
year = "2003",
language = "English",
volume = "11",
pages = "38--44",
journal = "Applied Nonlinear Dynamics",
issn = "2164-6473",
publisher = "L & H Scientific Publishing, LLC",
number = "3",

}

RIS

TY - JOUR

T1 - Fluctuational transitions across locally-disconnected and locally-connected fractal basin boundaries

AU - Silchenko, A. N.

AU - Beri, S.

AU - Luchinsky, D. G.

AU - McClintock, Peter V. E.

PY - 2003

Y1 - 2003

N2 - We study fluctuational transitions in a discrete dynamical system that has two coexisting attractors in phase space, separated by a fractal basin boundary which may be either locally-disconnected or locally-connected. It is shown that, in each case, transitions occur via an accessible point on the boundary. The complicated structure of paths inside the locally-disconnected fractal boundary is determined by a hierarchy of homoclinic original saddles. The most probable escape path to the fractal boundary is found for each type of boundary using both statistical analyses of fluctuational trajectories and the Hamiltonian theory of fluctuations.

AB - We study fluctuational transitions in a discrete dynamical system that has two coexisting attractors in phase space, separated by a fractal basin boundary which may be either locally-disconnected or locally-connected. It is shown that, in each case, transitions occur via an accessible point on the boundary. The complicated structure of paths inside the locally-disconnected fractal boundary is determined by a hierarchy of homoclinic original saddles. The most probable escape path to the fractal boundary is found for each type of boundary using both statistical analyses of fluctuational trajectories and the Hamiltonian theory of fluctuations.

M3 - Journal article

VL - 11

SP - 38

EP - 44

JO - Applied Nonlinear Dynamics

JF - Applied Nonlinear Dynamics

SN - 2164-6473

IS - 3

ER -