TITLE: Noise perturbations of a non-linear system with multiple steady states.

AUTHOR: Roy-R-Valery.

INSTITUTION: Univ of Delaware, Newark, DE, USA.

SOURCE: International Journal of Non-Linear Mechanics 29 5 Sep 1994. p 755-773.

PUBLICATION: JA (Journal Article).

ABSTRACT: The paper examines the effects of small white Gaussian noise perturbations on a harmonically forced Duffing oscillator. The equation of motion is transformed into a system of stochastic differential equations for the slow varying van der Pol variables, by assuming that the predominant frequency of response is that of the forcing term. The effects of noise perturbations on the system are analyzed by determining the steady-state probability density of the fluctuations of the response, as well as the probabilities of escape from one attractor to the other. The obtained theoretical results are supported by digital simulation data and the analytical theory gives good agreement even for large noise. 18 Refs.