Evaluation of closure strategies for a periodically-forced Duffing oscillator with slowly modulated frequency subject to Gaussian white noise
DOI10.1016/j.cnsns.2016.08.003zbMath1462.60099OpenAlexW2514816328MaRDI QIDQ2005037
J. M. Lopez, Jason Yalim, Bruno D. Welfert
Publication date: 7 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.08.003
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Resonance phenomena for ordinary differential equations involving randomness (34F15)
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Cites Work
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- Responses of Duffing oscillator with fractional damping and random phase
- Probabilistic solution of a multi-degree-of-freedom Duffing system under nonzero mean Poisson impulses
- Bifurcations in a forced softening Duffing oscillator
- Transitions in a Duffing oscillator excited by random noise
- Non-linear stochastic response distributions by local statistical linearization
- The Fokker-Planck equation. Methods of solution and applications.
- Multi-Gaussian closure method for randomly excited nonlinear systems
- On the cumulant-neglect closure method in stochastic dynamics
- Exponential closure method for some randomly excited nonlinear systems
- Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator
- A general solution of the Duffing equation
- Linearization methods for stochastic dynamic systems.
- Noise-induced chaos and basin erosion in softening Duffing oscillator
- The Duffing oscillator with damping
- On response of nonlinear oscillators with random frequency of excitation
- The Malliavin Calculus and Related Topics
- Frequency-domain deviational Monte Carlo method for linear oscillatory gas flows
- Transition Through Resonance of a Duffing Oscillator
- Spectral Methods in Chemistry and Physics
- On Bounded Stochastic Processes
- Numerical Solution of the Fokker–Planck Equation by Finite Difference and Finite Element Methods—A Comparative Study
- Passage Through Resonance for a One-Dimensional Oscillator with Slowly Varying Frequency
- Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
- Analytically based estimation of the maximum amplitude during passage through resonance
- Fast spectral methods for the Fokker-Planck-Landau collision operator.
- Effect of stochastic forcing on the Duffing oscillator
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