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

Yi Zhang

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

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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https://doi.org/10.1155/2021/7329399

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:7329399

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