@inbook{03d3761f9b2b4a299d07afb23eb5b7c4,
title = "Model reduction in stochastic environments",
abstract = "We present a general theory of stochastic model reduction which is based on a normal form coordinate transform method of A. J. Roberts. This nonlinear, stochastic projection allows for the deterministic and stochastic dynamics to interact correctly on the lower-dimensional manifold so that the dynamics predicted by the reduced, stochastic system agrees well with the dynamics predicted by the original, high-dimensional stochastic system. The method may be applied to any system with well-separated time scales. In this article, we consider a physical problem that involves a singularly perturbed Duffing oscillator as well as a biological problem that involves the prediction of infectious disease outbreaks.",
author = "E. Forgoston and L. Billings and Schwartz, {I. B.}",
year = "2019",
month = jan,
day = "1",
doi = "10.1142/9789811200359_0003",
language = "English",
series = "Interdisciplinary Mathematical Sciences",
publisher = "World Scientific Publishing Co. Pte. Ltd.",
pages = "37--61",
booktitle = "Interdisciplinary Mathematical Sciences",
}