Averaging principle for fully coupled dynamical systems and large deviations

DOI10.1017/S014338570400001XzbMath1055.37025OpenAlexW2118997400MaRDI QIDQ4819206

Yuri Kifer

Publication date: 24 September 2004

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s014338570400001x

zbMATH Keywords

averagingfast and slow motionsapproximation of the slow motion on long time intervalsfully coupled dynamical systems

Mathematics Subject Classification ID

Large deviations (60F10) Averaging method for ordinary differential equations (34C29) Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Random dynamical systems (37H99) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (11)

Large deviations in fast-slow systems ⋮ Averaging in Weakly Coupled Discrete Dynamical Systems ⋮ Limit theorems for fast-slow partially hyperbolic systems ⋮ Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools ⋮ Transport in Hamiltonian systems with slowly changing phase space structure ⋮ Nonconventional limit theorems in averaging ⋮ Statistical properties of mostly contracting fast-slow partially hyperbolic systems ⋮ Averaging principle for stochastic differential equations in the random periodic regime ⋮ Dynamical large deviations for homogeneous systems with long range interactions and the Balescu-Guernsey-Lenard equation ⋮ A rigorous derivation of Haff's Law for a periodic two-disk fluid ⋮ Random continued fractions: Lévy constant and Chernoff-type estimate

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