Noise-induced escape through a fractal basin boundary

A.N. Silchenko, D.G. Luchinsky and P.V.E. McClintock

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 3, 371-377

Abstract: We study noise-induced escape within a discrete dynamical system that has two co-existing chaotic attractors in phase space separated by a locally disconnected fractal basin boundary. It is shown that escape occurs via a unique accessible point on the fractal boundary. The structure of escape paths is determined by the original saddles forming the homoclinic structure of the system and by their hierarchical interrelations.

Keywords: Fractal basin boundary; Noise-induced escape; Saddle cycles; Hierarchy (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:3:p:371-377

DOI: 10.1016/S0378-4371(03)00265-6

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