%0 Journal Article
%T Saddle-node bifurcation control of a spring pendulum with single-frequency excitation<br>单频外激励弹簧摆的鞍结分岔控制
%A Xiao Han
%A Tang Jia-Shi
%A Liang Cui-Xiang
%A <br>萧寒
%A 唐驾时
%A 梁翠香
%J 物理学报
%D 2009
%I 
%X Spring pendulum under single-frequency excitation can be described by a group of very complicated nonlinear equations. The paper studies the amplitude of the spring pendulum, and feedback controllers are designed. Analytic method is used to obtain the control equation of amplitude, the relationship function between control parameter and amplitude is also abtained,which may act as an implementation of feedback control method for saddle-node bifurcation control, and also brings multi-scale method to numerical calculation of multiple-degree-of-freedom nonlinear systems.
%K excitation spring pendulum
%K saddle-node bifurcation
%K amplitude
%K feedback control<br>外激励弹簧摆，
%K 鞍结分岔，
%K 振动幅值，
%K 反馈控制
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=77526543980B72F1EF94792C3A5187F8&yid=DE12191FBD62783C&vid=9FFCC7AF50CAEBF7&iid=94C357A881DFC066&sid=2E4798C3FF42CDE2&eid=12DA570ABD25DA46&journal_id=1000-3290&journal_name=物理学报&referenced_num=2&reference_num=0