%0 Journal Article
%T Bifurcation control for a non-autonomous system with two time delays
一类非自治时滞反馈系统的分岔控制
%A Qian Chang-Zhao
%A Tang Jia-Shi
%A
钱长照
%A 唐驾时
%J 物理学报
%D 2006
%I
%X A forced system with two time-delays, including van der Pol-Duffing types, is studied. The aim is to study the primary parametrical resonance bifurcation of this system. Perturbation method is used to obtain the bifurcation equation with time-delays. Based on the bifurcation equation, co-dimension one, co-dimension two and Hope bifurcation are discussed, and the effect of time-delays on the steady state response is analyzed by numerical methods. It is indicated that the primary resonance bifurcation can be well controlled by time-delays feedback.
%K perturbation method
%K bifurcation control
%K dynamics of nonlinear systems involving time delays
摄动法
%K 分岔控制
%K 时滞动力系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=53351A7AD12202D7&yid=37904DC365DD7266&vid=E514EE58E0E50ECF&iid=0B39A22176CE99FB&sid=7FAAB0292FA0D5D0&eid=BA3451F2C9E4FB70&journal_id=1000-3290&journal_name=物理学报&referenced_num=6&reference_num=18