Perturbation to Symmetry and Adiabatic Invariants of General Discrete Holonomic Dynamical Systems |
| P. Wang and H.-J. Zhu
College of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi, Xinjiang 830054, China |
| Received: June 24, 2010 |
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| This paper investigates perturbation to the Noether symmetry of discrete holonomic nonconservative dynamical systems on a uniform lattice. Firstly, we give the Noether theorem of system. Secondly, both criterion of perturbation to the Noether symmetry and the Noether adiabatic invariants of system are obtained. Finally, an example is given to illustrate these results. |
| DOI: 10.12693/APhysPolA.119.298 PACS numbers: 02.20.Sv, 11.30.-j, 45.05.+x |