Multistability, noise and attractor-hopping: The crucial role of chaotic saddles

Details Multistability, noise and attractor-hopping: The crucial role of chaotic saddles Multistability, noise and attractor-hopping: The crucial role of chaotic saddles

2003-09-04

arxiv.org/abs/nlin/0309015v1

RE 66 015207 (Rapid Communication) 2002

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

We investigate the hopping dynamics between different attractors in a multistable system under the influence of noise. Using symbolic dynamics we find a sudden increase of dynamical entropies, when a system parameter is varied. This effect is explained by a novel bifurcation involving two chaotic saddles. We also demonstrate that the transient lifetimes on the saddle obey a scaling law in analogy to crisis.

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