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A new type of conserved quantity of Mei symmetry for the motion of mechanico–electrical coupling dynamical systems |
Zhao Li(赵丽), Fu Jing-Li(傅景礼)†,and Chen Ben-Yong(陈本永) |
Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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Abstract We obtain a new type of conserved quantity of Mei symmetry for the motion of mechanico-electrical coupling dynamical systems under the infinitesimal transformations. A criterion of Mei symmetry for the mechanico-electrical coupling dynamical systems is given. Simultaneously, the condition of existence of the new conserved quantity of Mei symmetry for mechanico-electrical coupling dynamical systems is obtained. Finally, an example is given to illustrate the application of the results.
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Received: 27 September 2010
Revised: 29 December 2010
Accepted manuscript online:
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PACS:
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02.20.-a
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(Group theory)
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02.30.Ks
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(Delay and functional equations)
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04.50.+h
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11072218). |
Cite this article:
Zhao Li(赵丽), Fu Jing-Li(傅景礼),and Chen Ben-Yong(陈本永) A new type of conserved quantity of Mei symmetry for the motion of mechanico–electrical coupling dynamical systems 2011 Chin. Phys. B 20 040201
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