Special Mei symmetry and approximate conserved quantity of Appell equations for a weakly nonholonomic system |
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| Authors: | Liqun Jia Xiaoxiao Wang Meiling Zhang Yuelin Han |
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| Affiliation: | 1. School of Science, Jiangnan University, Wuxi, 214122, P.R. China
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| Abstract: | The weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The special Mei symmetry and approximate conserved quantity of Appell equations for a weakly nonholonomic system are studied. Appell equations for a weakly nonholonomic system are established and the definition and the criterion of the special Mei symmetry of the system are given. The structure equation of the special Mei symmetry for a weakly nonholonomic system and approximate conserved quantity deduced from the special Mei symmetry of the system are obtained. Finally, special approximate conserved quantity issues of Appell equations for a two freedom degrees weakly nonholonomic system are investigated using the results of this paper. |
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