文献类型：期刊文献

中文题名：两自由度弱非线性耦合系统的一阶近似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 system

作者：楼智美[1]

机构：[1]绍兴文理学院物理系

年份：2013

期号：22

起止页码：5

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:000327815700002)、CSTPCD、、北大核心2011、EI(收录号：20134917048401)、Scopus(收录号：2-s2.0-84888346594)、WOS、北大核心、CSCD、CSCD2013_2014

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：两自由度弱非线性耦合系统;近似Lie对称性;近似守恒量

外文关键词：Weak nonlinear coupled two-dimensional system, approximate Lie symmetries, approximate conserved quantity

中文摘要：采用变劲度系数的耦合弹簧构建一实际的两自由度弱非线性耦合系统,用近似Lie对称性理论研究系统的一阶近似Lie对称性与近似守恒量,得到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：A real weak nonlinear coupled two-dimensional system is constructed first by using coupling spring with variable force constant. The first-order approximate Lie symmetries and approximate conserved quantities of the system are studied. The system possesses six first-order approximate Lie symmetries and approximate conserved quantities, of which one is an exact conserved quantity, four are trivial conserved quantities, and only one is a stable conserved quantity.