Perturbation to Symmetries and Adiabatic Invariants for Generalized Birkhoffian Systems on Time Scales-Reference-Cited by-同舟云学术

Perturbation to Symmetries and Adiabatic Invariants for Generalized Birkhoffian Systems on Time Scales

Published:2024-06 Issue:3 Volume:29 Page:263-272
ISSN:1007-1202
Container-title:Wuhan University Journal of Natural Sciences
language:
Short-container-title:Wuhan Univ. J. Nat. Sci.

Author:

HOU Shuang,SONG Chuanjing

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 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.

Publisher

EDP Sciences

Link

https://wujns.edpsciences.org/10.1051/wujns/2024293263/pdf

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