A quasi-Gaussian approximation method for the Duffing oscillator with colored additive random excitation
DOI10.1007/s11071-019-04824-xzbMath1437.60032OpenAlexW2917035106WikidataQ128330003 ScholiaQ128330003MaRDI QIDQ783536
G. R. Vossoughi, H. Makarem, Hossein Nejat Pishkenari
Publication date: 4 August 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-019-04824-x
Duffing oscillatornonlinear stochastic differential equationscolored noise excitationGaussian moment closure
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cumulant neglect closure for nonlinear oscillators under random parametric and external excitations
- An improved approach for random parametric response of dynamic systems with non-linear inertia
- Stochastic averaging: An approximate method of solving random vibration problems
- Non-Gaussian closure for random vibration of non-linear oscillators
- The Fokker-Planck equation. Methods of solution and applications.
- Linearization methods for stochastic dynamic systems.
- Stochastic processes and filtering theory
- On loss of accuracy and non-uniqueness of solutions generated by equivalent linearization and cumulant-neglect methods
- Cumulant-Neglect Closure Method for Nonlinear Systems Under Random Excitations
- Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems
- The Approximate Solutions of FPK Equations in High Dimensions for Some Nonlinear Stochastic Dynamic Systems
This page was built for publication: A quasi-Gaussian approximation method for the Duffing oscillator with colored additive random excitation