Abstract
Time scale is a new and powerful tool for dealing with complex dynamics problems.The main result of this study is the exact invariants and adiabatic invariants of the generalized Birkhoffian system and the constrained Birkhoffian system on time scales.Firstly,we establish the differential equations of motion for the above two systems and give the corresponding Noether symmetries and exact invari-ants.Then,the perturbation to the Noether symmetries and the adiabatic invariants for the systems mentioned above under the action of slight disturbance are investigated,respectively.Finally,two examples are provided to show the practicality of the findings.
基金项目
National Natural Science Foundation of China(12172241)
National Natural Science Foundation of China(12272248)
National Natural Science Foundation of China(11972241)
National Natural Science Foundation of China(12002228)
Qing Lan Project of Colleges and Universities in Jiangsu Province()
NETL
NSTL
万方数据