INSTITUTION: Univ of Delaware, Newark, DE, USA.
SOURCE: International Journal of Non-Linear Mechanics 29 5 Sep 1994. p
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.