Mei Symmetry and Conservation Laws for Time-Scale Nonshifted Hamilton Equations

The Mei symmetry and conservation laws for time-scale nonshifted Hamilton equations are explored, and the Mei symmetry theorem is presented and proved. Firstly, the time-scale Hamilton principle is established and extended to the nonconservative case. Based on the Hamilton principles, the dynamic eq...

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Autor principal:	Yi Zhang
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/9a7146e9f6304a178da16e711cfa0d76
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spelling	oai:doaj.org-article:9a7146e9f6304a178da16e711cfa0d762021-11-29T00:57:06ZMei Symmetry and Conservation Laws for Time-Scale Nonshifted Hamilton Equations1687-913910.1155/2021/7329399https://doaj.org/article/9a7146e9f6304a178da16e711cfa0d762021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7329399https://doaj.org/toc/1687-9139The Mei symmetry and conservation laws for time-scale nonshifted Hamilton equations are explored, and the Mei symmetry theorem is presented and proved. Firstly, the time-scale Hamilton principle is established and extended to the nonconservative case. Based on the Hamilton principles, the dynamic equations of time-scale nonshifted constrained mechanical systems are derived. Secondly, for the time-scale nonshifted Hamilton equations, the definitions of Mei symmetry and their criterion equations are given. Thirdly, Mei symmetry theorems are proved, and the Mei-type conservation laws in time-scale phase space are driven. Two examples show the validity of the results.Yi ZhangHindawi LimitedarticlePhysicsQC1-999ENAdvances in Mathematical Physics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Yi Zhang Mei Symmetry and Conservation Laws for Time-Scale Nonshifted Hamilton Equations
description	The Mei symmetry and conservation laws for time-scale nonshifted Hamilton equations are explored, and the Mei symmetry theorem is presented and proved. Firstly, the time-scale Hamilton principle is established and extended to the nonconservative case. Based on the Hamilton principles, the dynamic equations of time-scale nonshifted constrained mechanical systems are derived. Secondly, for the time-scale nonshifted Hamilton equations, the definitions of Mei symmetry and their criterion equations are given. Thirdly, Mei symmetry theorems are proved, and the Mei-type conservation laws in time-scale phase space are driven. Two examples show the validity of the results.
format	article
author	Yi Zhang
author_facet	Yi Zhang
author_sort	Yi Zhang
title	Mei Symmetry and Conservation Laws for Time-Scale Nonshifted Hamilton Equations
title_short	Mei Symmetry and Conservation Laws for Time-Scale Nonshifted Hamilton Equations
title_full	Mei Symmetry and Conservation Laws for Time-Scale Nonshifted Hamilton Equations
title_fullStr	Mei Symmetry and Conservation Laws for Time-Scale Nonshifted Hamilton Equations
title_full_unstemmed	Mei Symmetry and Conservation Laws for Time-Scale Nonshifted Hamilton Equations
title_sort	mei symmetry and conservation laws for time-scale nonshifted hamilton equations
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/9a7146e9f6304a178da16e711cfa0d76
work_keys_str_mv	AT yizhang meisymmetryandconservationlawsfortimescalenonshiftedhamiltonequations
_version_	1718407662128857088

Mei Symmetry and Conservation Laws for Time-Scale Nonshifted Hamilton Equations

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