Noether-Form Invariance of Nonholonomic Controllable
Mechanical Systems in Phase Space |
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| Authors: | XIA Li-Li and LI Yuan-Cheng |
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| Institution: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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| Abstract: | In this paper, we study the Noether-form invariance of nonholonomic mechanical controllable systems in phase space. Equations of motion of the controllable mechanical systems in
phase space are presented. The definition and the criterion for
this system are presented. A new conserved quantity and the
Noether conserved quantity deduced from the Noether-form invariance are obtained. An example is given to illustrate the application of the results. |
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| Keywords: | nonholonomic controllable mechanical system phase space Noether-form invariance conserved quantity |
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