时标非移哈密顿动力学及Noether定理的研究

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2023-04-01 DOI:10.1051/wujns/2023282106

Yi Zhang

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引用次数: 0

摘要

研究了时间尺度的非位移哈密顿动力学，包括一般完整系统和非完整系统。提出了时标不移Hamilton原理，并将其推广到非守恒系统，推导出了Hamilton框架下的动力学方程。提出了时间尺度非位移哈密顿动力学的Noether对称性及其定义和判据，给出并证明了完整系统和非完整系统的Noether's定理。给出了非移位的Noether守恒定律。通过两个例子验证了这些定理的有效性。

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

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.

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来源期刊

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.