Averaging of stochastic flows: twist maps and escape from resonance

DOI10.1016/j.spa.2009.04.004zbMath1183.60023OpenAlexW2031091817MaRDI QIDQ734652

Richard B. Sowers

Publication date: 13 October 2009

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2009.04.004

zbMATH Keywords

stochastic averagingstochastic flows of diffeomorphisms

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Averaging method for ordinary differential equations (34C29) Functional limit theorems; invariance principles (60F17) Stochastic integral equations (60H20)

Related Items (1)

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Cites Work

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• Lyapunov exponents of nilpotent Itô systems with random coefficients.
• Lyapunov exponents for small random perturbations of Hamiltonian systems.
• Stochastic averaging and asymptotic behavior of the stochastic Duffing--van der Pol equation
• On the tangent flow of a stochastic differential equation with fast drift
• STOCHASTIC AVERAGING NEAR LONG HETEROCLINIC ORBITS
• Averaging Principle for Stochastic Perturbations of Multifrequency Systems

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