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Perturbation to Noether Symmetry and Noether adiabatic Invariants of Discrete Mechanico-Electrical Systems |
| WANG Peng
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College of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi 830054 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072
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| Cite this article: |
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WANG Peng 2011 Chin. Phys. Lett. 28 040203 |
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Abstract Perturbation to Noether symmetry of discrete mechanico-electrical systems on an uniform lattice is investigated. First, Noether theorem of a system is presented. Secondly, the criterion of perturbation to Noether symmetry of the system is given. Based on the definition of adiabatic invariants, Noether adiabatic invariants of the system are obtained. Finally, An example is given to support these results.
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02.20.Sv
11.30.-j
45.05.+x
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Received: 03 November 2010
Published: 29 March 2011
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| PACS: |
02.20.Sv
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(Lie algebras of Lie groups)
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11.30.-j
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(Symmetry and conservation laws)
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45.05.+x
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(General theory of classical mechanics of discrete systems)
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