Phys. Rev. Lett. 91, 174104 (2003) [4 pages]Fluctuational Transitions through a Fractal Basin BoundaryReceived 6 February 2003; published 24 October 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.174104
DOI:
10.1103/PhysRevLett.91.174104
PACS:
05.45.Gg, 02.50.–r, 05.20.–y, 05.40.–a
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