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

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

Author(s) -

Yi Zhang

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/7329399

Subject(s) - conservation law , symmetry (geometry) , scale (ratio) , mathematics , space time , phase space , law , dynamic equation , classical mechanics , physics , mathematical physics , mathematical analysis , geometry , quantum mechanics , nonlinear system , engineering , chemical engineering , political science

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.

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