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

扫码查看

原文链接

NETL
NSTL
万方数据

外文摘要：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.

外文关键词：

time scalegeneralized Birkhoffian systemNoether symmetryperturbation and adiabatic invariants

作者：

HOU Shuang、SONG Chuanjing

展开 >

作者单位：

School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaQing Lan Project of Colleges and Universities in Jiangsu Province

项目编号：

12172241122722481197224112002228

出版年：

2024

DOI：

10.1051/wujns/2024293263

武汉大学自然科学学报(英文版)

武汉大学

武汉大学自然科学学报(英文版)

CSTPCD

影响因子：0.066

ISSN：1007-1202

年,卷(期)：2024.29(3)