Random perturbations of a periodically driven nonlinear oscillator: escape from a resonance zone. (English) Zbl 1370.34113
In this paper, the effect of weak noise on the ecape from a resonance zone is studied. The mean exit time from a resonance zone is derived and the dependence of the exit rate on the parameters of the nonlinear oscillator is also investigated.
Reviewer: Toader Morozan (Bucureşti)
MSC:
| 34F05 | Ordinary differential equations and systems with randomness |
| 34C46 | Multifrequency systems of ordinary differential equations |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
| 60F10 | Large deviations |
| 34D10 | Perturbations of ordinary differential equations |
| 34C29 | Averaging method for ordinary differential equations |
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