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The influence of noise on a classical chaotic scatterer

✍ Scribed by Peter Mills

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
207 KB
Volume
11
Category
Article
ISSN
1007-5704

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✦ Synopsis

A classical, chaotic scatterer consisting of three, equal-sized, equidistant hard discs, also known as the Gaspard-Rice system [Gaspard P, Rice SA. Scattering from a classically chaotic repellor. J Chem Phys 1989;90(4):2225-2241] is studied in the presence of white noise. The fractal dimension of the stable manifold is measured using the uncertainty fraction. The volume of the manifold, and thus of the invariant set, when considered in a possibilistic sense, is found to scale with the magnitude of the noise, thus extending the results of Ott et al. [Ott E, York ED, Yorke JA. A scaling law: How an attractors volume depends on noise level.

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