文献类型：期刊文献

中文题名：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

英文题名：The first-order approximate Lie symmetries and approximate conserved quantities of the weak nonlinear coupled two-dimensional anisotropic harmonic oscillator

作者：楼智美[1];梅凤翔[2];陈子栋[1]

机构：[1]绍兴文理学院物理系;[2]北京理工大学力学系

年份：2012

卷号：61

期号：11

起止页码：41

中文期刊名：物理学报

外文期刊名：Acta Physica Sinica

收录：SCI-EXPANDED(收录号：WOS:000305377400005)、CSTPCD、、北大核心2011、Scopus、CSCD2011_2012、WOS、北大核心、CSCD

基金：Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 10932002).

语种：中文

中文关键词：弱非线性耦合二维各向异性谐振子;近似Lie对称性;近似守恒量

外文关键词：weak nonlinear coupled two-dimensional anisotropic harmonic oscillator； approximate Lie symme tries； approximate conserved quantity

中文摘要：用近似Lie对称性理论研究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,并以频率比为2:1的弱非线性耦合二维各向异性谐振子为例,得到其6个一阶近似Lie对称性和一阶近似守恒量,其中1个一阶近似守恒量实为系统的精确守恒量,4个一阶近似守恒量为平凡的一阶近似守恒量,只有1个一阶近似守恒量为稳定的一阶近似守恒量.

外文摘要：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.