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NOETHER’S THEORY OF VACCO DYNAMICS
引用本文:张解放. NOETHER’S THEORY OF VACCO DYNAMICS[J]. 应用数学和力学(英文版), 1993, 14(7): 669-676. DOI: 10.1007/BF02455388
作者姓名:张解放
作者单位:Department of
摘    要:In this paper,we first study the latent relation between the conservative quantityand the symmetry of nonholonomic dynamical systems without any additionalrestrictive conditions to its virtual displacement,and then establish Noether’s theoremand Noether’s inverse theorem of Vacco dynamics.Lastly,we give two examples toillustrate the application of result of this paper.

收稿时间:1991-12-27

Noether's theory of vacco dynamics
Zhang Jie-fang. Noether's theory of vacco dynamics[J]. Applied Mathematics and Mechanics(English Edition), 1993, 14(7): 669-676. DOI: 10.1007/BF02455388
Authors:Zhang Jie-fang
Affiliation:(1) Department of Physics, Zhejiang Normal University, Jinhua, Zhejiang
Abstract:In this paper, we first study the latent relation between the conservative quantity and the symmetry of nonholonomic dynamical systems without any additional restrictive conditions to its virtual displacement, and then establish Noether's theorem and Noether's inverse theorem of Vacco dynamics. Lastly, we give two examples to illustrate the application of result of this paper.
Keywords:Vacco dynamics   nonholonomic constraint   Noether theory
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