Fluctuational transitions through a fractal basin boundary.
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.
Silchenko
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Department of Physics, Lancaster University, Lancaster LA1 4YB, U.K.
Beri
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Luchinsky
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McClintock
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PV