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

Suso Kraut·Ulrike Feudel
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Abstract

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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Suso Kraut, Ulrike Feudel. 2003-09-04. Multistability, noise and attractor-hopping: The crucial role of chaotic saddles. https://arxiv.org/abs/nlin/0309015

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