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Dynamics controlled by additive noise

G. D. Lythe
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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.

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G. D. Lythe. 1997-08-11. Dynamics controlled by additive noise. https://arxiv.org/abs/adap-org/9708005

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