Probabilistic analysis of a nonlinear pendulum

DOI10.1007/BF01187431zbMath0895.70016OpenAlexW1999418669MaRDI QIDQ1814882

R. Valéry Roy

Publication date: 13 September 1998

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01187431

zbMATH Keywords

periodic solutionsoscillatory motionsWKB approximationrandom perturbationsresonanceaveraging methodFokker-Planck-Kolmogorov equationnoise-free pendulum

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Random vibrations in mechanics of particles and systems (70L05)

Related Items (1)

Noise-Induced Chaos in a Piecewise Linear System

Cites Work

• Averaging method for strongly nonlinear oscillators with periodic excitations
• Regular and stochastic motion
• A survey of stability of stochastic systems
• Persistence of Dynamical Systems under Random Perturbations
• The Exit Problem for Randomly Perturbed Dynamical Systems
• A Ray Method for the Asymptotic Solution of the Diffusion Equation
• Brownian motion in a field of force and the diffusion model of chemical reactions
• Averaging methods in nonlinear dynamical systems
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