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

被引：2
|
作者：
ZHANG Yi [1 ]
机构：
[1] College of Civil Engineering,Suzhou University of Science and Technology
来源：
Wuhan University Journal of Natural Sciences | 2023年 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
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.
引用
收藏
页码：106 / 116
页数：11
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