2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80915The 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 figuresChaotic DynamicsAccelerator PhysicsPlasma Physicstext