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中国物理学会期刊

非Chetaev型非完整可控力学系统的Noether-形式不变性

CSTR: 32037.14.aps.55.4995

Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev’s type

CSTR: 32037.14.aps.55.4995
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  • 基于函数对时间的全导数采用沿系统的运动轨线方式, 研究非Chetaev型非完整可控力学系统的Noether-形式不变性. 给出非Chetaev型非完整可控力学系统的Noether-形式不变性的定义和判据. 由Noether-形式不变性同时得到了Noether守恒量和新型守恒量. 并举例说明结果的应用.

     

    Based on the total time derivative along the trajectory of the system, the definition and the criterion of Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev’s type are presented. A new conserved quantity, as well as the Noether conserved quantity are deduced from the Noether-form invariance. An example is given to illustrate the application of the result.

     

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