Transactions of Nanjing University of Aeronautics & Astronautics
Mei Symmetry for Constrained Mechanical System on Time Scales
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Abstract:
Mei symmetry on time scales is investigated for Lagrangian system， Hamiltonian system， and Birkhoffian system. The main results are divided into three sections. In each section， the definition and the criterion of Mei symmetry are first presented. Then the conserved quantity deduced from Mei symmetry is obtained， and perturbation to Mei symmetry and adiabatic invariant are studied. Finally， an example is given to illustrate the methods and results in each section. The conserve quantity achieved here is a special case of adiabatic invariant. And the results obtained in this paper are more general because of the definition and property of time scale.
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O316
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