@inbook{b1163fe2f6d941b2963303c3f56c3fcd,
title = "Steady State Analysis of Stochastic Systems with Multiple Time Delays",
abstract = "In this paper, attention is focused on the steady state analysis of a class of nonlinear dynamic systems with multi-delayed feedbacks driven by multiplicative correlated Gaussian white noises. The Fokker-Planck equations for delayed variables are at first derived by Novikov{\textquoteright}s theorem. Then, under small delay assumption, the approximate stationary solutions are obtained by the probability density approach. As a special case, the effects of multidelay feedbacks and the correlated additive and multiplicative Gaussian white noises on the response of a bistable system are considered. It is shown that the obtained analytical results are in good agreement with experimental results in Monte Carlo simulations.",
keywords = "delay Fokker-Planck equation, Gaussian white noise, multiple time delays, stochastic systems",
author = "W. Xu and Sun, {C. Y.} and Zhang, {H. Q.}",
note = "Publisher Copyright: {\textcopyright} Springer Netherlands 2011.",
year = "2011",
doi = "10.1007/978-94-007-0732-0_14",
language = "英语",
series = "IUTAM Bookseries",
publisher = "Springer Science and Business Media B.V.",
pages = "137--146",
booktitle = "IUTAM Bookseries",
}