On Duffing equation with random perturbations. (English) Zbl 1218.34067
The authors consider a family of particles, each having a given initial position and velocity, evolving subject to a Duffing equation with random perturbations at random times. Sufficient conditions are given under which the sample paths are almost identical after a long time.
Reviewer: Andrew Dale (Durban)
MSC:
| 34F05 | Ordinary differential equations and systems with randomness |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
