%0 Journal Article
%T The first-order approximate Lie symmetries and approximate conserved quantities of the weak nonlinear coupled two-dimensional anisotropic harmonic oscillator<br>弱非线性耦合二维各向异性谐振子的一阶近似Lie对称性与近似守恒量
%A Lou Zhi-Mei
%A Mei Feng-Xiang
%A Chen Zi-Dong
%A <br>楼智美
%A 梅凤翔
%A 陈子栋
%J 物理学报
%D 2012
%I 
%X The first-order approximate Lie symmetries and approximate conserved quantities of the weak nonlinear coupled two-dimensional anisotropic harmonic oscillator are studied. When the ω1/ω2 is equal to 2/1, the system possesses six first-order approximate Lie symmetries and approximate conserved quantities, one of them is an exact conserved quantity, four of them are trivial conserved quantities, only one of them is a stable conserved quantity.
%K weak nonlinear coupled two-dimensional anisotropic harmonic oscillator
%K approximate Lie symmetries
%K approximate conserved quantity<br>弱非线性耦合二维各向异性谐振子
%K 近似Lie对称性
%K 近似守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=78F360FC29C479119C9C4827DBBE9515&yid=99E9153A83D4CB11&vid=1D0FA33DA02ABACD&iid=708DD6B15D2464E8&sid=6F24B9B6057F9F14&eid=6F24B9B6057F9F14&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=23