Effect of Noise on the Standard Mapping

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dc.creatorKarney, Charles F. F.
dc.creatorRechester, Alexander B.
dc.creatorWhite, Roscoe B.
dc.date2005-01-10
dc.date.accessioned2026-07-07T05:36:13Z
dc.date.available2026-07-07T05:36:13Z
dc.descriptionThe 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.
dc.descriptionPlain TeX, 18 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/nlin/0501021
dc.identifierhttp://arxiv.org/abs/nlin/0501021
dc.identifierPhysica 4D(3), 425-438 (Mar. 1982)
dc.identifierdoi:10.1016/0167-2789(82)90045-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80915
dc.subjectChaotic Dynamics
dc.subjectAccelerator Physics
dc.subjectPlasma Physics
dc.titleEffect of Noise on the Standard Mapping
dc.typetext

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