Brownian parametric oscillator: analytical results for a high-frequency driving field

DOI10.1088/0305-4470/34/50/301zbMATH Open1005.60101OpenAlexW2025708235MaRDI QIDQ4533771

Jagoda Plata, S. Brouard

Publication date: 11 June 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/50/301

zbMATH Keywords

Mathieu equationaveragingFloquet solutionbidimensional Ornstein-Uhlenbeck processBrownian parametric oscillatorhigh-frequency driving fieldKapitsa-Landau method

Mathematics Subject Classification ID

Hamilton's equations (70H05) Other physical applications of random processes (60K40) Ordinary differential equations and systems with randomness (34F05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

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