Perturbation to symmetries and adiabatic invariants of a type of nonholonomic singular system |
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| Authors: | Chen Xiang-Wei and Li Yan-Min |
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| Affiliation: | Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China |
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| Abstract: | Based on the theory of symmetries and conserved quantities, the perturbation to the symmetries and adiabatic invariants of a type of nonholonomic singular system are discussed. Firstly, the concept of higher order adiabatic invariants of the system is proposed. Secondly, the conditions for existence of the exact invariants and adiabatic invariants are proved, and their forms are given. Thirdly, we study the inverse problems of the perturbation to symmetries of the system. An example is presented to illustrate these results. |
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| Keywords: | nonholonomic singular system perturbation to symmetry exact invariant adiabatic invariant |
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