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Symmetry of Lagrangians of Nonholonomic Controllable Mechanical Systems |
XIA Li-Li1, CAI Jian-Le2 |
| 1Department of Physics, Henan Institute of Education, Zhengzhou 450046 2College of Science, Hangzhou Normal University, Hangzhou 310018 |
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XIA Li-Li, CAI Jian-Le 2010 Chin. Phys. Lett. 27 080201 |
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Abstract Symmetry of Lagrangians of nonholonomic controllable mechanical systems is studied. The definition and criterion of the symmetry of the system are presented. Under the condition that there exists a conserved quantity, the form of the conserved quantity is provided. An example is presented to illustrate the application of the results.
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| Keywords:
02.40.-k
45.20.Jj
07.05.Dz
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Received: 26 March 2010
Published: 28 July 2010
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| PACS: |
02.40.-k
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(Geometry, differential geometry, and topology)
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45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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07.05.Dz
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(Control systems)
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