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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 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 2158-3226 2158-3226 |
DOI: | 10.1063/5.0179739 |