Path integral approach via Laplace's method of integration for nonstationary response of nonlinear systems

DOI10.1007/s11012-019-00991-8OpenAlexW2945677762MaRDI QIDQ6145842

Alberto Di Matteo

Publication date: 9 January 2024

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10447/391641

zbMATH Keywords

path integralprobability density functionLaplace's methodnonstationary responseevolutionary excitation

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reliability function determination of nonlinear oscillators under evolutionary stochastic excitation via a Galerkin projection technique
• The Fokker-Planck equation. Methods of solution and applications
• Response probability density functions of strongly non-linear systems by the path integration method
• Stationary and non-stationary random vibration of oscillators with bilinear hysteresis
• Local averaged path integration method approach for nonlinear dynamic systems
• Statistical correlation of fractional oscillator response by complex spectral moments and state variable expansion
• Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators
• Response Envelope Statistics for Nonlinear Oscillators With Random Excitation

This page was built for publication: Path integral approach via Laplace's method of integration for nonstationary response of nonlinear systems