A Study on Time Scale Non-Shifted Hamiltonian Dynamics and Noether's Theorems  

作　　者：ZHANG Yi 

机构地区：[1]College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,Jiangsu,China

出　　处：《Wuhan University Journal of Natural Sciences》2023年第2期106-116,共11页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(11972241,12272248,11572212);the Natural Science Foundation of Jiangsu Province(BK20191454)。

摘　　要：The time-scale non-shifted Hamiltonian dynamics are investigated,including both general holonomic systems and nonholonomic systems.The time-scale non-shifted Hamilton principle is presented and extended to nonconservative system,and the dynamic equations in Hamiltonian framework are deduced.The Noether symmetry,including its definition and criteria,for time-scale non-shifted Hamiltonian dynamics is put forward,and Noether's theorems for both holonomic and nonholonomic systems are presented and proved.The nonshifted Noether conservation laws are given.The validity of the theorems is verified by two examples.

关 键 词：non-shifted Hamiltonian dynamics Noether symmetry non-shifted Noether conservation laws time scales 

分 类 号：O316[理学—一般力学与力学基础]