Mei symmetry and new conserved quantities for non-material volumes

2018 ◽  
Vol 229 (9) ◽  
pp. 3781-3786 ◽  
Author(s):  
W. A. Jiang ◽  
K. Liu ◽  
Z. W. Xia ◽  
M. Chen
Keyword(s):  
Conserved Quantities ◽  
Mei Symmetry

Lie-Mei symmetry and conserved quantities of the Rosenberg problem

2011 ◽  
Vol 20 (7) ◽  
pp. 070204 ◽  
Author(s):  
Xiao-Wei Liu ◽  
Yuan-Cheng Li
Keyword(s):  
Conserved Quantities ◽  
Mei Symmetry

scholarly journals Lie-Mei symmetry and conserved quantities of Appell equation for a holonomic mechanical system

2010 ◽  
Vol 59 (6) ◽  
pp. 3639
Author(s):  
Li Yuan-Cheng ◽  
Xia Li-Li ◽  
Wang Xiao-Ming ◽  
Liu Xiao-Wei
Keyword(s):  
Mechanical System ◽  
Conserved Quantities ◽  
Mei Symmetry

New Conserved Quantities of Noether–Mei Symmetry for Nonholonomic Mechanical System

2008 ◽  
Vol 50 (3) ◽  
pp. 603-606
Author(s):  
Liu Yang-Kui ◽  
Fang Jian-Hui ◽  
Pang Ting ◽  
Lin Peng
Keyword(s):  
Mechanical System ◽  
Conserved Quantities ◽  
Mei Symmetry

scholarly journals Mei Symmetry and New Conserved Quantities of Time-Scale Birkhoff’s Equations

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Xiang-Hua Zhai ◽  
Yi Zhang
Keyword(s):  
Hamiltonian System ◽  
Time Scales ◽  
Time Scale ◽  
Dynamic Equations ◽  
Conserved Quantities ◽  
Dynamical Processes ◽  
Birkhoffian System ◽  
Special Case ◽  
Mei Symmetry

The time-scale dynamic equations play an important role in modeling complex dynamical processes. In this paper, the Mei symmetry and new conserved quantities of time-scale Birkhoff’s equations are studied. The definition and criterion of the Mei symmetry of the Birkhoffian system on time scales are given. The conditions and forms of new conserved quantities which are found from the Mei symmetry of the system are derived. As a special case, the Mei symmetry of time-scale Hamilton canonical equations is discussed and new conserved quantities for the Hamiltonian system on time scales are derived. Two examples are given to illustrate the application of results.

New conserved quantities of Noether–Mei symmetry of mechanical system in phase space

2008 ◽  
Vol 17 (6) ◽  
pp. 1962-1966 ◽  
Author(s):  
Fang Jian-Hui ◽  
Liu Yang-Kui ◽  
Zhang Xiao-Ni
Keyword(s):  
Phase Space ◽  
Mechanical System ◽  
Conserved Quantities ◽  
Mei Symmetry

Study of Theory about Large Unified Symmetries for Hamilton Systems

2011 ◽  
Vol 27 (2) ◽  
pp. 245-252
Author(s):  
Y.-P. Luo
Keyword(s):  
Lie Symmetry ◽  
Lie Symmetries ◽  
Noether Symmetry ◽  
Theoretical Physics ◽  
Conserved Quantities ◽  
Noether Symmetries ◽  
Mei Symmetry

ABSTRACTIn this paper, the new concept of theory about Large Unified Symmetries for Hamilton systems are presented. The Large Unified Symmetries and conserved quantities for Hamilton systems are studied by the relation between the three kinds of symmetries and the three kinds of conserved quantities. We worked on the Large Unified Symmetries and conserved quantities by Noether symmetry, Lie symmetry and Mei symmetry, including the definition and criterion of the Large Unified Symmetries and the conserved quantities deduced from them. The Large Unified Symmetries are a intersection set among the Noether symmetries, the Lie symmetries and the Mei symmetries. The theory about Large Unified Symmetries will play an important role in the fields of modern theoretical physics.

Sign in / Sign up

Export Citation Format

Share Document