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...

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Published in:AIP advances 2023-11, Vol.13 (11), p.115317-115317-13
Main Authors: Liu, Jin, Song, Chuan-Jing
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Language:English
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Differential equations
Equations of motion
Perturbation
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description 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.
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subjects Differential equations
Equations of motion
Perturbation
title Symmetries and perturbations of time-scale nonshifted singular systems
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