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
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 ()