%0 Journal Article
%T Stochastic bifurcations in Duffing-van der Pol oscillator with Lévy stable noise<br>Lévy稳定噪声激励下的Duffing-van der Pol振子的随机分岔
%A Gu Ren-Cai
%A Xu Yong
%A Hao Meng-Li
%A Yang Zhi-Qiang
%A <br>顾仁财
%A 许勇
%A 郝孟丽
%A 杨志强
%J 物理学报
%D 2011
%I 
%X This paper aims to investigate the influence of Lévy stable noise on a bistable Duffing-van der Pol oscillator. We obtain the stationary probability density function of amplitude for the Duffing-van der Pol oscillator by use of Monte Carlo method, and analyze the influences of the noise intensity and the stability index on the stationary probability density. Stochastic bifurcations are further discussed though a qualitative change of the stationary probability distribution, which indicates that not only system parameters and noise intensity can be treated as bifurcation parameters, but also the change of the stability index will induce stochastic bifurcations.
%K Lévy stable noise
%K Duffing-van der Pol oscillator
%K stationary probability density function
%K stochastic bifurcations<br>Lévy稳定噪声
%K Duffing-van
%K der
%K Pol振子
%K 稳态概率密度函数
%K 随机分岔
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=E13A5442FC287077151426DFFFAF78FA&yid=9377ED8094509821&vid=BFE7933E5EEA150D&iid=B31275AF3241DB2D&sid=DC3059B9D896E04A&eid=DC3059B9D896E04A&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=21