| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Discussion on Perturbation to Weak Noether Symmetry and Adiabatic Invariants for Lagrange Systems |
| WANG Peng1, FANG Jian-Hui2, WANG Xian-Ming1 |
| 1School of Math-Physics and Information Science, Xinjiang Normal University, Urumqi 8300542College of Physics Science and Technology, China University of Petroleum, Dongying 257061 |
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| Cite this article: |
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WANG Peng, FANG Jian-Hui, WANG Xian-Ming 2009 Chin. Phys. Lett. 26 034501 |
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Abstract We study a new symmetric perturbation, i.e. weakly Noether symmetric perturbation (WNSP). The criterion and definition of WNSP and Noether symmetric perturbation (NSP) are given. A theorem between WNSP and adiabatic invariants is established. It is concluded that WNSP is different from NSP, the sufficient condition when WNSP is NSP can be presented, and the
former is broader. We apply our results to the planar Kepler problem.
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| Keywords:
45.20.Jj
02.20.Sv
11.30.-j
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Received: 12 December 2008
Published: 19 February 2009
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| PACS: |
45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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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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