Stochastic non-linear oscillators

Citation
Markus, Lawrence et Weerasinghe, Ananda, Stochastic non-linear oscillators, Advances in applied probability , 25(3), 1993, pp. 649-666
ISSN journal
00018678
Volume
25
Issue
3
Year of publication
1993
Pages
649 - 666
Database
ACNP
SICI code
Abstract
Non-linear stochastic systems driven by white noise are analysed from the viewpoint of non-linear oscillation theory. Under various familiar hypotheses concerning dissipative and restorative dynamical forces, the existence and uniqueness, asymptotic growth, and oscillatory behavior of the solutions are demonstrated.