General stochastic oscillatory systems

DOI10.1016/0307-904X(93)90058-OzbMath0782.93083MaRDI QIDQ2367952

E. F. Abdel Gawad, Magdy A. El-Tawil

Publication date: 22 August 1993

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

small-parameter perturbation methodstochastic nonlinear oscillatory systemWiener-Hermite expansion approach

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic systems in control theory (general) (93E03) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

General nonlinear response of a single input system to stochastic excitations ⋮ Using homotopy WHEP technique for solving a stochastic nonlinear diffusion equation ⋮ Using FEM-RVT technique for solving a randomly excited ordinary differential equation with a random operator ⋮ The Homotopy Wiener-Hermite Expansion and Perturbation Technique (WHEP) ⋮ Solution of the stochastic radiative transfer equation with Rayleigh scattering using RVT technique ⋮ On a complex Duffing system with random excitation ⋮ A proposed technique of SFEM on solving ordinary random differential equation ⋮ Approximate solution of a mixed nonlinear stochastic oscillator ⋮ The approximate solutions of some stochastic differential equations using transformations ⋮ A developed solution of the stochastic Milne problem using probabilistic transformations ⋮ Toward a solution of a class of non-linear stochastic perturbed PDEs using automated WHEP algorithm ⋮ Solution of the stochastic transport equation of neutral particles with anisotropic scattering using RVT technique ⋮ The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study ⋮ Stochastic normal deflections of orthotropic and composite rectangular plates. ⋮ Solution of the stochastic heat equation with nonlinear losses using Wiener-Hermite expansion

Cites Work

• Stochastic differential equations. An introduction with applications
• Random differential equations in science and engineering
• Inversion of nonlinear stochastic operators
• Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator
• On stochastic differential equations
• Stochastic integral
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