Affiliation:
1. College of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, China
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.
Funder
Natural Science Foundation of Jiangsu Province
Subject
Applied Mathematics,General Physics and Astronomy
Reference45 articles.
1. Applications of Lie Groups to Differential Equations
2. A Practical Course in Differential Equations and Mathematical Modelling
3. MeiF. X.Symmetries and conserved quantities of constrained mechanical systems2004BeijingBeijing Institute of Technology Press
Cited by
2 articles.
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