Perturbation to Symmetry and Adiabatic Invariants of General Discrete Holonomic Dynamical Systems

• Authors: P. Wang , H. Zhu
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

02.20.Sv; 11.30.-j; 45.05.+x

Discipline

• 11.30.-j: Symmetry and conservation laws(see also 02.20.-a Group theory)
• 02.20.Sv: Lie algebras of Lie groups
• 45.05.+x: General theory of classical mechanics of discrete systems

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 119
• Issue: 3
• Pages: 298-303

Dates

published

2011-03

received

2010-06-24

Contributors

author

P. Wang

• College of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi, Xinjiang 830054, China

author

H. Zhu

• College of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi, Xinjiang 830054, China

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Identifiers

DOI

10.12693/APhysPolA.119.298