Summary.
In Chap. 7, rapidly oscillating stochastic perturbations of dynamical systems are considered. Results of the law-of-large-numbers type, those of central-limit theorem type, and large-deviation results are obtained. Those last results are applied to the asymptotics of the behavior of the perturbed dynamical system on growing time intervals.
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© 2012 Springer-Verlag Berlin Heidelberg
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Freidlin, M.I., Wentzell, A.D. (2012). The Averaging Principle. Fluctuations in Dynamical Systems with Averaging. In: Random Perturbations of Dynamical Systems. Grundlehren der mathematischen Wissenschaften, vol 260. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25847-3_7
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DOI: https://doi.org/10.1007/978-3-642-25847-3_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25846-6
Online ISBN: 978-3-642-25847-3
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