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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 through a Fractal Basin Boundary.
AU - Silchenko, A. N.
AU - Beri, S.
AU - Luchinsky, D. G.
AU - McClintock, P. V.
PY - 2003/10/24
Y1 - 2003/10/24
N2 - Fluctuational transitions between two coexisting chaotic attractors, separated by a fractal basin boundary, are studied in a discrete dynamical system. It is shown that the transition mechanism is determined by a hierarchy of homoclinic points. The most probable escape path from a chaotic attractor to the fractal boundary is found using both statistical analyses of fluctuational trajectories and the Hamiltonian theory of fluctuations.
AB - Fluctuational transitions between two coexisting chaotic attractors, separated by a fractal basin boundary, are studied in a discrete dynamical system. It is shown that the transition mechanism is determined by a hierarchy of homoclinic points. The most probable escape path from a chaotic attractor to the fractal boundary is found using both statistical analyses of fluctuational trajectories and the Hamiltonian theory of fluctuations.
U2 - 10.1103/PhysRevLett.91.174104
DO - 10.1103/PhysRevLett.91.174104
M3 - Journal article
VL - 91
SP - 174104 / 4 pages
JO - Physical review letters
JF - Physical review letters
IS - 17
ER -