Abstract
The response of a Duffing oscillator subject to a periodic forcing with slowly and stochastically modulated frequency is analyzed numerically. The results of both moment and cumulant-based stochastic reductions are compared to Monte Carlo simulations. It is shown how the explicit characterization of higher-order central moments of the (Gaussian) noise source and the periodic nature of the forcing enable a reliable reduction strategy providing a faithful description of the mean behavior of stochastic solutions. The reduced model is then used to illustrate how a large noise level and fast frequency drift may combine to sustain a strong response that is normally associated to resonance in the noiseless static case.
Original language | English (US) |
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Pages (from-to) | 144-158 |
Number of pages | 15 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 44 |
DOIs | |
State | Published - Mar 1 2017 |
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Applied Mathematics