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- Title
Symmetries and perturbations of a singular nonconservative system on time scales.
- Authors
Liu, Jin; Song, Chuan-Jing
- Abstract
The symmetries and perturbations of a singular nonconservative Lagrangian system on time scales are studied. The differential equations of motion are given. The definitions and criteria of the Noether, Lie, and Mei symmetries of the system are presented, and the corresponding conserved quantities deduced from these symmetries are obtained. In addition, the perturbations to each symmetry and the corresponding adiabatic invariants were studied. In the end, three examples are used to illustrate the applications of the results.
- Subjects
SINGULAR perturbations; CONSERVED quantity; EQUATIONS of motion; SYMMETRY; CONSERVATION laws (Mathematics); DIFFERENTIAL equations
- Publication
Acta Mechanica, 2024, Vol 235, Issue 6, p3761
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-024-03919-w