TY  - BOOK
AU  - Kifer,Yuri
TI  - Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging
T2  - Memoirs of the American Mathematical Society
SN  - 9781470405588
AV  - QA372 -- .K536 2009eb 
U1  - 515/.352 
PY  - 2009///
CY  - Providence
PB  - American Mathematical Society
KW  - Averaging method (Differential equations)
KW  - Large deviations
KW  - Differential equations -- Qualitative theory
KW  - Attractors (Mathematics)
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114260
ER  -