Dynamics controlled by additive noise
arXiv:adap-org/9708005
Abstract
Analysis is presented of a system whose dynamics are dramatically simplified by tiny amounts of additive noise. The dynamics divide naturally into two phases. In the slower phase, trajectories are close to an invariant manifold; this allows small random disturbances to exert a controlling influence. A map is derived which provides an accurate description of the trajectories.
Plain Tex, 7 pages, 2 postscript figures included