%0 Journal Article
%T Analysis of the geometric characteristic quantity of the periodic solutions of the chaotic oscillator system and the quantitative detection of weak periodic signal<br>混沌振子系统周期解几何特征量分析与微弱周期信号的定量检测
%A Li Yue
%A Xu Kai
%A Yang Bao-Jun
%A Yuan Ye
%A Wu Ning
%A <br>李 月
%A 徐 凯
%A 杨宝俊
%A 袁 野
%A 吴 宁
%J 物理学报
%D 2008
%I 
%X We proposed a quantitative detection method for weak periodic signal in this paper. A result is obtained when analyzing the stable output of chaotic oscillator system in the large-scale periodic state, which shows that the average area of the periodic solution of the chaotic oscillator system is a steady geometric characteristic quantity of periodic solutions of the chaotic oscillator system. There is a steadily and monotonically increasing relation between the average area and the amplitude to be detected. When some parameters are defined, the precision of the geometric characteristic quantity can reach 10-6V2. The further quantitative detection of weak signals is built based on the two characteristics of the chaos system, namely the immunity to noise and sensitivity to weak signal. The simulation experiments shown that the immunity to noise will be enhanced along with the increase of amplitude detected while the precision can be guaranteed.
%K 混沌振子系统，
%K 大尺度周期相态，
%K 周期解的几何特征量，
%K 微弱周期信号的定量检测
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=0FA311302BCB54B143B703292413B0B2&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=B31275AF3241DB2D&sid=1ED0022DDCD3818C&eid=51C1C06ED4147660&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=15