%0 Journal Article
%T Period-doubling bifurcation of stochastic Duffing one-sided constraint system<br>随机Duffing单边约束系统的倍周期分岔
%A Feng Jin-Qian
%A Xu Wei
%A Wang Rui
%A <br>冯进钤
%A 徐伟
%A 王蕊
%J 物理学报
%D 2006
%I 
%X The conditions of constraint are treated by means of the mean constraint plane and the mean jump equation, in which the method of the Chebyshev polynomial approximation, previously used to explore period-doubling bifurcation of stochastic smooth systems, is applied to stochastic non-smooth systems. Numerical simulations show that period-doubling bifurcation exists in stochastic Duffing one-sided constraint system just as in smooth stochastic Duffing system, and furthermore, the Chebyshev polynomial approximation is an effective method in exploring the dynamical behavior of stochastic non-smooth system.
%K non-smooth dynamic system
%K stochastic Duffing system
%K Chebyshev polynomial
%K period-doubling bifurcation<br>非光滑动力系统
%K 随机Duffing系统
%K Chebyshev多项式
%K 倍周期分岔
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=29327F7981B40B2E&yid=37904DC365DD7266&vid=E514EE58E0E50ECF&iid=708DD6B15D2464E8&sid=14ADA92C2A4FBF02&eid=4EC9C3CFB61FC54D&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=20