First-passage problem of strongly nonlinear stochastic oscillators with external and internal resonances
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Publication:335176
DOI10.1016/J.EUROMECHSOL.2012.10.013zbMath1348.34110OpenAlexW2005422585MaRDI QIDQ335176
Publication date: 2 November 2016
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2012.10.013
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)
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Cites Work
- First-passage failure of harmonically and stochastically excited Duffing oscillator with delayed feedback control
- First-passage failure of strongly nonlinear oscillators under combined harmonic and real noise excitations
- First-passage failure of quasi-non-integrable-Hamiltonian systems
- Stochastic averaging of quasi-integrable Hamiltonian systems under combined harmonic and white noise excitations
- First-passage time of Duffing oscillator under combined harmonic and white-noise excitations
- First-passage failure minimization of stochastic Duffing-Rayleigh-Mathieu system
- On the relation between ordinary and stochastic differential equations
- Optimal bounded control of first-passage failure of strongly non-linear oscillators under combined harmonic and white-noise excitations
- Internal resonance of strongly non-linear autonomous vibrating systems with many degrees of freedom
- First-Passage Failure of Quasi-Integrable Hamiltonian Systems
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