Affiliation:
1. School of Mathematical Sciences, Suzhou University of Science and Technology , Suzhou 215011, People’s Republic of China
Abstract
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.
Funder
National Natural Science Foundation of China
Qinglan Project of Jiangsu Province of China
Innovation Program for postgraduate in Higher Education Institutions of Jiangsu Province
Subject
General Physics and Astronomy
Cited by
1 articles.
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