Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system |
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Authors: | Zhang Ke-Jun Fang Jian-Hui and Li Yan |
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Institution: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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Abstract: | Based on the concept of discrete adiabatic invariant, this paper studies the perturbation to Mei symmetry and Mei adiabatic invariants of the discrete generalized Birkhoffian system. The discrete Mei exact invariant induced from the Mei symmetry of the system without perturbation is given. The criterion of the perturbation to Mei symmetry is established and the discrete Mei adiabatic invariant induced from the perturbation to Mei symmetry is obtained. Meanwhile, an example is discussed to illustrate the application of the results. |
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Keywords: | discrete generalized Birkhoffian system Mei symmetry perturbation Mei adiabatic invariant |
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