Effect of Noise on the Standard Mapping

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The effect of a small amount of noise on the standard mapping is considered. Whenever the standard mapping possesses accelerator modes (where the action increases approximately linearly with time), the diffusion coefficient contains a term proportional to the reciprocal of the variance of the noise term. At large values of the stochasticity parameter, the accelerator modes exhibit a universal behavior. As a result the dependence of the diffusion coefficient on the stochasticity parameter also shows some universal behavior.
Plain TeX, 18 pages, 4 figures

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Chaotic Dynamics, Accelerator Physics, Plasma Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/80915

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0501021
 http://arxiv.org/abs/nlin/0501021
 Physica 4D(3), 425-438 (Mar. 1982)
 doi:10.1016/0167-2789(82)90045-8

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arXiv