%0 Journal Article
%T The global bifurcation and chaotic behaviours for the crystalline undulator radiation<br>晶体摆动场辐射系统的全局分叉与混沌行为
%A Luo Shi-Yu
%A Shao Ming-Zhu
%A Luo Xiao-Hua
%A <br>罗诗裕
%A 邵明珠
%A 罗晓华
%J 物理学报
%D 2010
%I 
%X Introducing sine-squared potential,the particle motion equation in the crystalline undulator field is reduced to the generalized pendulum equation with a dampping and a force terms in the classical mechanics frame in the dipole approximation.The properties of the phase plane are ananysed for a non-peturbated system by means of Jacobian elliptic function and the elliptic integral,and the solution of the equation and the period of the particle motion for this system are expressed exactly.The global bifurcatio...
%K crystalline undulator radiation
%K Melnikov method
%K bifurcation
%K chaos<br>晶体摆动场辐射，
%K Melnikov方法，
%K 分叉，
%K 混沌
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=42E265105AFCFA775F2B02258F8693D4&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=E158A972A605785F&sid=7268B713ABA09C1D&eid=5B0AFEF9BB2761AD&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=21