Loading…

Symmetries and perturbations of time-scale nonshifted singular systems

In this work, the symmetries and perturbations of time-scale nonshifted singular Lagrangian and singular nonconservative Lagrangian systems are studied. The differential equations of motion are given. The definitions and criteria of the Noether, Lie, and Mei symmetries of the two systems are present...

Full description

Saved in:
Bibliographic Details
Published in:AIP advances 2023-11, Vol.13 (11), p.115317-115317-13
Main Authors: Liu, Jin, Song, Chuan-Jing
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work, the symmetries and perturbations of time-scale nonshifted singular Lagrangian and singular nonconservative Lagrangian systems are studied. The differential equations of motion are given. The definitions and criteria of the Noether, Lie, and Mei symmetries of the two systems are presented, along with the corresponding conserved quantities deduced from these symmetries. In addition, the perturbations to each symmetry and the related adiabatic invariants are studied. Finally, examples are used to illustrate the applications of these results.
ISSN:2158-3226
2158-3226
DOI:10.1063/5.0179739