Mei Symmetry and New Conserved Quantities of Time-Scale Birkhoff's Equations

Xiang-Hua Zhai, Yi Zhang
2020 Complexity  
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
more » ... ons 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.
doi:10.1155/2020/1691760 fatcat:tjnpkhcspzhgnmkqhv6ms3tgd4