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

Yi Zhang and Ivan Giorgio

Advances in Mathematical Physics, 2021, vol. 2021, 1-8

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7329399

DOI: 10.1155/2021/7329399

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