Multistability, noise and attractor-hopping: The crucial role of chaotic saddles
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2003
- DOI:
- 10.48550/arXiv.nlin/0309015
- arXiv:
- arXiv:nlin/0309015
- Bibcode:
- 2003nlin......9015K
- Keywords:
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- Nonlinear Sciences - Chaotic Dynamics;
- Condensed Matter - Statistical Mechanics
- E-Print:
- RE 66 015207 (Rapid Communication) 2002