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