| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 28, Number 2, April 2023
|
|
|---|---|---|
| Page(s) | 106 - 116 | |
| DOI | https://doi.org/10.1051/wujns/2023282106 | |
| Published online | 23 May 2023 | |
Mathematics
CLC number: O 316
A Study on Time Scale Non-Shifted Hamiltonian Dynamics and Noether's Theorems
College of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, Jiangsu, China
Received:
8
May
2022
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 non-shifted Noether conservation laws are given. The validity of the theorems is verified by two examples.
Key words: non-shifted Hamiltonian dynamics / Noether symmetry / non-shifted Noether conservation laws / time scales
Biography: ZHANG Yi, male, Ph.D., Professor, research direction: analytical mechanics. E-mail: zhy@mail.usts.edu.cn
Fundation item: Supported by the National Natural Science Foundation of China (11972241, 12272248, 11572212), the Natural Science Foundation of Jiangsu Province (BK20191454)
© Wuhan University 2023
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