Dynamics controlled by additive noise

Details Dynamics controlled by additive noise Dynamics controlled by additive noise

1997-08-11

arxiv.org/abs/adap-org/9708005v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Plain Tex, 7 pages, 2 postscript figures included

Scientific paper

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.

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