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...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | article |
| Langue: | EN |
| Publié: |
Hindawi Limited
2021
|
| Sujets: | |
| Accès en ligne: | https://doaj.org/article/9a7146e9f6304a178da16e711cfa0d76 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| Résumé: | 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. |
|---|