Symmetries and perturbations of time-scale nonshifted singular systems
Source abstract
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.
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Research context
OpenAlex topics: Nonlinear Waves and Solitons · Numerical methods for differential equations · Quantum chaos and dynamical systems
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Affiliations
School of Mathematical Sciences, Suzhou University of Science and Technology , Suzhou 215011, People’s Republic of China
Funding
National Natural Science Foundation of China · Qinglan Project of Jiangsu Province of China · Innovation Program for postgraduate in Higher Education Institutions of Jiangsu Province
References (49)
Show source-provided references
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