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研究非完整系统Hamilton正则方程的形式不变性,给出形式不变性的定义和判据,建立形式不变性和系统守恒量之间的关系,并举例说明结果的应用.
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关键词:
- 非完整系统 /
- Hamilton正则方程 /
- 形式不变性 /
- 守恒量
In this paper,a form invariance of Hamilton's canonical equations of a nonholonomic mechanical system is studied.First,the definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given .Next,the relation between the form invariance and the conserved quantity of the system is established.Finally,an example is given to illustrate the application of the result.-
Keywords:
- nonholonomic system /
- Hamilton's canonical equation /
- form invariance /
- conserved q uantity
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