Effect of Noise on the Standard Mapping

Details Effect of Noise on the Standard Mapping Effect of Noise on the Standard Mapping

2005-01-10

arxiv.org/abs/nlin/0501021v1

Physica 4D(3), 425-438 (Mar. 1982)

Nonlinear Sciences

Chaotic Dynamics

Plain TeX, 18 pages, 4 figures

Scientific paper

10.1016/0167-2789(82)90045-8

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.

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