Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging

Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging
Author :
Publisher : American Mathematical Soc.
Total Pages : 144
Release :
ISBN-10 : 9780821844250
ISBN-13 : 0821844253
Rating : 4/5 (50 Downloads)

Book Synopsis Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging by : Yuri Kifer

Download or read book Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging written by Yuri Kifer and published by American Mathematical Soc.. This book was released on 2009-08-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work treats dynamical systems given by ordinary differential equations in the form $\frac{dX^\varepsilon(t)}{dt}=\varepsilon B(X^\varepsilon(t),Y^\varepsilon(t))$ where fast motions $Y^\varepsilon$ depend on the slow motion $X^\varepsilon$ (coupled with it) and they are either given by another differential equation $\frac{dY^\varepsilon(t)}{dt}=b(X^\varepsilon(t), Y^\varepsilon(t))$ or perturbations of an appropriate parametric family of Markov processes with freezed slow variables.


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