Evaluation of closure strategies for a periodically-forced Duffing oscillator with slowly modulated frequency subject to Gaussian white noise
type: Item
instance of: scholarly article
title: Evaluation of closure strategies for a periodically-forced Duffing oscillator with slowly modulated frequency subject to Gaussian white noise
zbMATH Open document ID: 1462.60099
author: Jason Yalim
author: Bruno D. Welfert
author: J. M. Lopez
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34F15
zbMATH DE Number: 7257322
zbMATH Keywords: Duffing oscillator
zbMATH Keywords: Gaussian white noise
MaRDI profile type: Publication
full work available at URL: j.cnsns.2016.08.003
OpenAlex ID: W2514816328
cites work: Frequency-domain deviational Monte Carlo method for linear oscillatory gas flows
cites work: Uncertainty in weather and climate prediction
cites work: Q4550907
cites work: The Duffing oscillator with damping
cites work: A general solution of the Duffing equation
cites work: Bifurcations in a forced softening Duffing oscillator
cites work: Noise-induced chaos and basin erosion in softening Duffing oscillator
cites work: Passage Through Resonance for a One-Dimensional Oscillator with Slowly Varying Frequency
cites work: Analytically based estimation of the maximum amplitude during passage through resonance
cites work: Transition Through Resonance of a Duffing Oscillator
cites work: Effect of stochastic forcing on the Duffing oscillator
cites work: Responses of Duffing oscillator with fractional damping and random phase
cites work: Non-linear stochastic response distributions by local statistical linearization
cites work: Multi-Gaussian closure method for randomly excited nonlinear systems
cites work: Transitions in a Duffing oscillator excited by random noise
cites work: On response of nonlinear oscillators with random frequency of excitation
cites work: Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
cites work: Numerical Solution of the Fokker–Planck Equation by Finite Difference and Finite Element Methods—A Comparative Study
cites work: Fast spectral methods for the Fokker-Planck-Landau collision operator.
cites work: Spectral Methods in Chemistry and Physics
cites work: Exponential closure method for some randomly excited nonlinear systems
cites work: Linearization methods for stochastic dynamic systems.
cites work: Probabilistic solution of a multi-degree-of-freedom Duffing system under nonzero mean Poisson impulses
cites work: Q4867171
cites work: The Malliavin Calculus and Related Topics
cites work: Q5842591
cites work: Q4102799
cites work: On the cumulant-neglect closure method in stochastic dynamics
cites work: On Bounded Stochastic Processes
cites work: Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator
cites work: The Fokker-Planck equation. Methods of solution and applications.
DOI: 10.1016/J.CNSNS.2016.08.003
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description: scientific article; zbMATH DE number 7257322