Dynamics controlled by additive noise

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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

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Adaptation and Self-Organizing Systems, Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/149741

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/adap-org/9708005
 http://arxiv.org/abs/adap-org/9708005

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arXiv