@inproceedings{601588af87354ead8b7a03388c661716,
title = "Stochastic Responses of Duffing-Van der Pol Vibro-Impact Oscillator with Colored Noise",
abstract = "The purpose of this work is to use the stochastic averaging method to study the response of a vibro-impact system excited by additive and multiplicative colored noises. The non-smooth transformation of state variables is used to transform the vibro-impact system to a new system without impact term. The Fourier series is applied to obtain the stationary probability density function. The validity of the analytical results is verified by the numerical simulations. Moreover, stochastic P-bifurcations are also explored.",
keywords = "colored noise, stochastic averaging, stochastic P-bifurcation, vibro-impact system",
author = "Wei Xu and Chao Li and Liang Wang",
note = "Publisher Copyright: {\textcopyright} 2014 American Society of Civil Engineers.; 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014 ; Conference date: 13-07-2014 Through 16-07-2014",
year = "2014",
doi = "10.1061/9780784413609.185",
language = "英语",
series = "Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014",
publisher = "American Society of Civil Engineers (ASCE)",
pages = "1846--1855",
editor = "Hall, {Jim W.} and Siu-Kui Au and Michael Beer",
booktitle = "Vulnerability, Uncertainty, and Risk",
}