%0 Journal Article
%T Algorithms for searching unstable periodic orbits of chaotic systems<br>混沌系统不稳定周期轨道的搜索算法
%A YUE Yi-hong
%A HAN Wen-xiu
%A <br>岳毅宏
%A 韩文秀
%J 控制理论与应用
%D 2004
%I 
%X The algorithms for searching unstable periodic orbits (UPO's) of chaotic systems are studied.Firstly,the advantages and disadvantages of the conventional Newton-Raphson algorithm (NR algorithm) and Schmelcher-Diakonos algorithm (SD algorithm) were respectively analyzed.Then,a new searching algorithm called NR-SD algorithm was proposed collecting advantages of both NR and SD algorithms:the global convergence guaranteed,the NR-SD algorithm greatly improves the searching efficiency.Moreover,in the NR-SD algorithm a new strategy of determining initial points was used so that all long-periodic UPO's could be found.Finally,the effectiveness of the NR-SD algorithm was verified by numerical simulation of an example.The relation between the period p and the number of p-periodic UPO's was established as well.
%K unstable periodic orbits (UPO's)
%K UPO's searching algorithm
%K Newton-Raphson algorithm (NR algorithm)
%K Schmelcher-Diakonos algorithm (SD algorithm)
%K NR-SD algorithm<br>不稳定周期轨道(UPO's)
%K UPO's搜索算法
%K Newton-Raphson算法(NR算法)
%K Schmelcher-Diakonos(SD算法)
%K NR-SD算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=60EE566D41FE9686&yid=D0E58B75BFD8E51C&vid=659D3B06EBF534A7&iid=38B194292C032A66&sid=CB3428B1EFB1C133&eid=6D6BFCF0101BC091&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=15