A generalization of the Freidlin–Wentcell theorem on averaging of Hamiltonian systems

DOI10.3233/ASY-201641zbMath1499.60211arXiv2002.01851WikidataQ114038208 ScholiaQ114038208MaRDI QIDQ5018412

Yichun Zhu

Publication date: 16 December 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01851

zbMATH Keywords

Hamiltonian systemaveraging principleFreidlin-Wentcell theorem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Averaging method for ordinary differential equations (34C29)

Cites Work

• Random perturbations of dynamical systems and diffusion processes with conservation laws
• An averaging approach to the Smoluchowski-Kramers approximation in the presence of a varying magnetic field
• Random Perturbations of Dynamical Systems
• Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations