A remark on random perturbations of the nonlinear pendulum

DOI10.1214/aoap/1029962806zbMath0960.60051OpenAlexW2041001415MaRDI QIDQ1578588

Matthias Weber, Mark I. Freidlin

Publication date: 4 September 2000

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1029962806

zbMATH Keywords

random perturbationsaveraging principlenonlinear pendulum

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Averaging method for ordinary differential equations (34C29) Perturbations in context of PDEs (35B20)

Related Items (11)

Lyapunov exponents for small random perturbations of Hamiltonian systems. ⋮ On occupation time functionals for diffusion processes and birth-and-death processes on graphs ⋮ On random perturbations of Hamiltonian systems with many degrees of freedom. ⋮ The long time behavior of Brownian motion in tilted periodic potentials ⋮ On diffusion in narrow random channels ⋮ From ballistic to diffusive behavior in periodic potentials ⋮ Dirichlet forms for singular one-dimensional operators and on graphs ⋮ On perturbations of generalized Landau-Lifshitz dynamics ⋮ Random perturbations of dynamical systems and diffusion processes with conservation laws ⋮ Stochastic averaging with a flattened Hamiltonian: A Markov process on a stratified space (a whiskered sphere) ⋮ Scaling limits for the generalized Langevin equation

Cites Work

• Unnamed Item
• Unnamed Item
• Random perturbations of nonlinear oscillators
• Functional Integration and Partial Differential Equations. (AM-109)
• Random perturbations of Hamiltonian systems
• Optimal Residence Time Control of Hamiltonian Systems Perturbed by White Noise
• Diffusion Processes in One Dimension

This page was built for publication: A remark on random perturbations of the nonlinear pendulum