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Chetaev型约束的相对运动动力学系统Nielsen方程的Noether对称性与Noether守恒量

王肖肖 孙现亭 张美玲 解银丽 贾利群

物理学报2012,Vol.61Issue(6):341-346,6.
物理学报2012,Vol.61Issue(6):341-346,6.

Chetaev型约束的相对运动动力学系统Nielsen方程的Noether对称性与Noether守恒量

Noether symmetry and Noether conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type

王肖肖 1孙现亭 2张美玲 1解银丽 1贾利群1

作者信息

  • 1. 江南大学理学院,无锡214122
  • 2. 平顶山学院电气信息工程学院,平顶山467002
  • 折叠

摘要

Abstract

Noether symmetry and Noether conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type are studied.The differential equation of motion of Nielsen equation for the system,the definition and the criterion of Noether symmetry,and the expression of Noether conserved quantity deduced directly from Noether symmetry for the system are obtained.An example is given to illustrate the application of the results.

关键词

Chetaev型约束/相对运动动力学/Nielsen方程/Noether守恒量

Key words

nonholonomic constraint of Chetaev's type/dynamics of the relative motion/Nielsen equation/Noether conserved quantity

分类

数理科学

引用本文复制引用

王肖肖,孙现亭,张美玲,解银丽,贾利群..Chetaev型约束的相对运动动力学系统Nielsen方程的Noether对称性与Noether守恒量[J].物理学报,2012,61(6):341-346,6.

基金项目

国家自然科学基金(批准号:1142014 61178032)资助的课题 ()

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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