| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 29, Number 3, June 2024
|
|
|---|---|---|
| Page(s) | 263 - 272 | |
| DOI | https://doi.org/10.1051/wujns/2024293263 | |
| Published online | 03 July 2024 | |
Mathematics
CLC number: O316
Perturbation to Symmetries and Adiabatic Invariants for Generalized Birkhoffian Systems on Time Scales
School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, China
† Corresponding author. E-mail: songchuanjingsun@mail.usts.edu.cn
Received:
9
October
2023
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 invariants. 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.
Key words: time scale / generalized Birkhoffian system / Noether symmetry / perturbation and adiabatic invariants
Cite this article: HOU Shuang, SONG Chuanjing. Perturbation to Symmetries and Adiabatic Invariants for Generalized Birkhoffian Systems on Time Scales[J]. Wuhan Univ J of Nat Sci, 2024, 29(3): 263-272.
Biography: HOU Shuang, female, Master candidate, research direction: analytical mechanics. E-mail: hous00309280@163.com
Fundation item: Supported by the National Natural Science Foundation of China (12172241, 12272248, 11972241, 12002228) and Qing Lan Project of Colleges and Universities in Jiangsu Province
© Wuhan University 2024
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