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

楼智美; 梅凤翔; 陈子栋

doi:10.7498/aps.61.110204

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

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.

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
Abstract
The first-order approximate Lie symmetries and approximate conserved quantities of the weak nonlinear coupled two-dimensional anisotropic harmonic oscillator are studied. When the 1/2 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.

Keywords:
weak nonlinear coupled two-dimensional anisotropic harmonic oscillator /

approximate Lie symmetries /

approximate conserved quantity
作者及机构信息
楼智美,

梅凤翔,

陈子栋
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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

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

摘要

Abstract

作者及机构信息

Authors and contacts

参考文献

施引文献

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