@Article{karney82,
  author =       {Charles F. F. Karney and Alexander B. Rechester and
                  Roscoe B. White},
  title =        {Effect of Noise on the Standard Mapping},
  journal =      {Physica},
  volume =       {4D},
  number =       3,
  pages =        {425-438},
  month =        mar,
  year =         1982,
  reprint =      {physd82},
  preprint =     {Princeton Univ. Rept. PPPL--1752 (Mar. 1981) 25 pp.},
  doi =          {10.1016/0167-2789(82)90045-8},
  eprint =       {nlin.CD/0501021},
  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.}
}