%0 Journal Article
%T Chaos prediction in the Duffing-type system with non-smooth periodic perturbation and bounded parametric excitation<br>非光滑周期扰动与有界噪声联合作用下受迫Duffing系统的混沌预测
%A Niu Yu-Jun
%A Xu Wei
%A Rong Hai-Wu
%A Wang Liang
%A Feng Jin-Qian
%A <br>牛玉俊
%A 徐伟
%A 戎海武
%A 王亮
%A 冯进钤
%J 物理学报
%D 2008
%I 
%X In this paper, the dynamics of Duffing-type system with non-smooth periodic perturbation and bounded noise was studied. The theory of Fourier series was used in this system to deal with the non-smooth character for the first time. The analytical condition for the appearance of chaos was given using stochastic Melnikov method. The numerical simulations confirm the validity of this method.
%K non-smooth dynamics
%K bounded noise
%K stochastic Melnikov function
%K maximal Lyapunov exponents<br>非光滑系统，
%K 有界噪声，
%K 随机Melnokov函数，
%K 最大Lyapunov指数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=ACDEE55019535A79ACCF88EA9BE198A7&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=59906B3B2830C2C5&sid=885E0EEBCEE4EFC4&eid=F9B13FFDB7C1C8BD&journal_id=1000-3290&journal_name=物理学报&referenced_num=2&reference_num=0