%0 Journal Article
%T ANALYTICAL EXPRESSION OF TRANSITION BOUNDARIES OF THE SOLUTION OF DUFFING SYSTEMS<br>Duffing系统解的转迁集的解析表达式
%A Bi Qinsheng
%A Chen Yushu
%A <br>毕勤胜
%A 陈予恕
%J 力学学报
%D 1997
%I 
%X The nonlinear Duffing equation is studied and fold boundaries of period T are obtained by introducing Burton's and Cheung's results and nonlinear frequency. Also, the transition boundaries of symmetric breaking are obtained by general Newton's method. Our results are in good agreement with Leung's by IHB method,and we overcome the difficulty of great quantities of computation by computer.
%K nonlinear frequency
%K fold boundary of period T
%K symmetric breaking
%K transition boundary<br>转迁集
%K 非线性振动
%K 稳定性
%K Duffing系统解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=AE6D6FBC5E5081AC75773051E8FB32C4&yid=5370399DC954B911&vid=771469D9D58C34FF&iid=94C357A881DFC066&sid=03EE8EDD44A3D4BE&eid=93ADA2AA3F969E58&journal_id=0459-1879&journal_name=力学学报&referenced_num=6&reference_num=7