Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system |
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| Authors: | Jia Li-Qun Zhang Mei-Ling Wang Xiao-Xiao Han Yue-Lin |
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| Affiliation: | School of Science, Jiangnan University, Wuxi 214122, China |
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| Abstract: | A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic system are studied. The Appell equations for the weakly nonholonomic system are established, and the definition and the criterion of form invariance of the system are given. The structure equation of form invariance for the weakly nonholonomic system and the approximate conserved quantity deduced from the form invariance of the system are obtained. Finally, an example is given to illustrate the application of the results. |
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| Keywords: | weakly nonholonomic system Appell equations form invariance approximate conserved quantity |
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