Effect of Noise on the Standard Mapping
Chaotic Dynamics
2007-05-23 v1 Accelerator Physics
Plasma Physics
Abstract
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.
Cite
@article{arxiv.nlin/0501021,
title = {Effect of Noise on the Standard Mapping},
author = {Charles F. F. Karney and Alexander B. Rechester and Roscoe B. White},
journal= {arXiv preprint arXiv:nlin/0501021},
year = {2007}
}
Comments
Plain TeX, 18 pages, 4 figures