%0 Journal Article
%T Homoclinic bifurcation of the strongly nonlinear oscillation system by the normal form method<br>研究强非线性振动系统同宿分岔问题的规范形方法
%A Zhang Qi-Chang
%A Wang Wei
%A He Xue-Jun
%A <br>张琪昌
%A 王 炜
%A 何学军
%J 物理学报
%D 2008
%I 
%X The available range of the homoclinic bifurcation criterions are extended from the weakly nonlinear oscillation system to the strongly nonlinear oscillation system. It combines the analysis method of the strongly nonlinear oscillation system with the former criterions based on the improved complex normal form method. The periodic solution of this kind of system with a single degree of freedom is obtained by introducing the fundamental frequency under determination into the complex normal form computation. Then two different analytical criteria to predict the critical values of homoclinic bifurcation are adapted to the new system. It includes the undertermined fundamental frequency approaching zero and the collision of the periodic orbit with the saddle point. The results derived from different methods are compared in the specific systems with numerical simulation to testify the correctness and efficiency of the theoretical results.
%K normal form
%K homoclinic bifurcation
%K strongly nonlinear
%K periodic solution<br>规范形
%K 同宿分岔
%K 强非线性
%K 周期解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=31FAC5F50F3C490E8A4E9AC966B7E8BB&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=9CF7A0430CBB2DFD&sid=0E0E4861CE5D2130&eid=3C849AB464ACAB0B&journal_id=1000-3290&journal_name=物理学报&referenced_num=1&reference_num=0