%0 Journal Article
%T Stability and time-delayed feedback control of a relative-rotation nonlinear dynamical system under quasic-periodic parametric excitation<br>一类准周期参激非线性相对转动动力系统的稳定性与时滞反馈控制
%A Shi Pei-Ming
%A Li Ji-Zhao
%A Liu Bin
%A Han Dong-Ying
%A <br>时培明
%A 李纪召
%A 刘彬
%A 韩东颖
%J 物理学报
%D 2011
%I 
%X The dynamical equation of a relative-rotation nonlinear dynamic system, which contains quasi-periodic parametric excitation and time delays, is established. Bifurcation response equation of 1/2 subharmonic primary parametric resonance is obtained by the method of multiple scales, and the stability of the system is analyzed. By solving the steady state solutions of the uncontrolled system, the effect of quasi-periodic parametric excitation on system response is studied through discussing the dynamics of the system. Time-delay feedback control method is used to control the bifurcation and limit cycle(region). Numerical results show that the bifurcation and the stability of the limit cycle(region) are controlled effectively by changing the time-delay parameters.
%K relatively rotation
%K quasic-periodic parametric excitation
%K time-delayed feedback
%K limit cycle<br>相对转动
%K 准周期参激
%K 时滞反馈
%K 极限环
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=F437B1BF01E7F4868A8B888FE62587E9&yid=9377ED8094509821&vid=BFE7933E5EEA150D&iid=9CF7A0430CBB2DFD&sid=CE26CE27431B5D46&eid=9C635B1B2F6A74B0&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=25