Kifer, Yuri. <br/><br/>
Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging. 

 - 1st ed. 
 - 1 online resource (144 pages) 
 - Memoirs of the American Mathematical Society ;  v.201 .
 - Memoirs of the American Mathematical Society .
<br/><br/>Intro -- Contents -- Preface -- Part 1. Hyperbolic Fast Motions -- 1.1. Introduction -- 1.2. Main results -- 1.3. Dynamics of Φ[sup(t)][sub(ε)] -- 1.4. Large deviations: preliminaries -- 1.5. Large deviations: Proof of Theorem 1.2.3 -- 1.6. Further properties of S-functionals -- 1.7. "Very long" time behavior: exits from a domain -- 1.8. Adiabatic transitions between basins of attractors -- 1.9. Averaging in difference equations -- 1.10. Extensions: stochastic resonance -- 1.11. Young measures approach to averaging -- Part 2. Markov Fast Motions -- 2.1. Introduction -- 2.2. Preliminaries and main results -- 2.3. Large deviations -- 2.4. Verifying assumptions for random evolutions -- 2.5. Further properties of S-functionals -- 2.6. "Very long" time behavior: exits from a domain -- 2.7. Adiabatic transitions between basins of attractors -- 2.8. Averaging in difference equations -- 2.9. Extensions: stochastic resonance -- 2.10. Young measures approach to averaging -- Bibliography -- Index. 
<br/><br/><label>ISBN: </label>9781470405588 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Averaging method (Differential equations).<br/>Large deviations.<br/>Differential equations -- Qualitative theory.<br/>Attractors (Mathematics).
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA372 -- .K536 2009eb 
<br/><br/><label>Dewey Class. No.: </label>515/.352