Stochastic response of nonlinear system in probability domain

DOI10.1007/BF02716780zbMath1151.60338OpenAlexW2086130884MaRDI QIDQ949152

Deepak Kumar, Tushar K. Datta

Publication date: 20 October 2008

Published in: Sādhanā (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02716780

zbMATH Keywords

probability density functionnonlinear single-DOF systemstochastic average procedure

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29)

Cites Work

• Random vibration of a nonlinearly deformed beam by a new stochastic linearization technique
• Response and stability of strongly non-linear oscillators under wide-band random excitation
• Stochastic linearization of dynamical systems under parametric Poisson white noise excitation
• Application of quasi-conservative averaging to a nonlinear system under non-white excitation
• Stability and Control of Stochastic Systems with Wide-band Noise Disturbances. I
• Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems
• Stochastic Averaging of Quasi-Integrable Hamiltonian Systems

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