Adiabatic Invariant for Dynamic Systems on Time Scale

被引：0
|
作者：
Song C. [1 ]
机构：
[1] School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou
来源：
Transactions of Nanjing University of Aeronautics and Astronautics | 2019年 / 36卷 / 04期
关键词：
Adiabatic invariant; Dynamic system; Perturbation to Noether symmetry; Time scale;
D O I：
10.16356/j.1005-1120.2019.04.015
中图分类号：
学科分类号：
摘要：
Perturbation to Noether symmetry and adiabatic invariants for Birkhoffian system, Hamiltonian system and Lagrangian system with delta derivative are investigated, respectively. Firstly, the definition and some related properties of time scale calculus are listed simply as preliminaries. Secondly, the Birkhoffian system with delta derivative is studied. Based on the differential equation of motion as well as Noether symmetry and conserved quantity, perturbation to Noether symmetry and adiabatic invariant are investigated. Thirdly, adiabatic invariants for the Hamiltonian system and the Lagrangian system are presented through some transformations. And finally, an example is given to illustrate the methods and results. © 2019, Editorial Department of Transactions of NUAA. All right reserved.
引用
收藏
页码：680 / 685
页数：5
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