EVOLUTION OF ADIABATIC INVARIANTS IN STOCHASTIC AVERAGING

DOI10.1142/S0219493704001036zbMath1101.34041MaRDI QIDQ5704749

Dmitry Dolgopyat

Publication date: 15 November 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

ergodicityaveraging principle

Mathematics Subject Classification ID

Diffusion processes (60J60) Averaging method for ordinary differential equations (34C29) Ordinary differential equations and systems with randomness (34F05) Ergodic theorems, spectral theory, Markov operators (37A30) Averaging of perturbations for nonlinear problems in mechanics (70K65)

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Cites Work

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• A stochastic theory of adiabatic invariance
• A four-thirds law for phase randomization of stochastically perturbed oscillators and related phenomena
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• A Limit Theorem for Solutions of Differential Equations with Random Right-Hand Side
• STOCHASTIC VERSIONS OF ANOSOV'S AND NEISTADT'S THEOREMS ON AVERAGING
• Averaging Principle for Stochastic Perturbations of Multifrequency Systems
• On Stochastic Processes Defined by Differential Equations with a Small Parameter

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