Dynamics controlled by additive noise
adap-org
2008-02-03 v1 chao-dyn
Adaptation and Self-Organizing Systems
Chaotic Dynamics
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.
Cite
@article{arxiv.adap-org/9708005,
title = {Dynamics controlled by additive noise},
author = {G. D. Lythe},
journal= {arXiv preprint arXiv:adap-org/9708005},
year = {2008}
}
Comments
Plain Tex, 7 pages, 2 postscript figures included