Perturbation to Noether Symmetry and Noether Adiabatic Invariants of Discrete Difference Variational Hamilton Systems

• Authors: M. Zhang , J. Fang
• Languages of publication: EN

Abstracts

EN

The perturbation to the Noether symmetry and the Noether adiabatic invariants of discrete difference variational Hamilton systems are investigated. The discrete the Noether exact invariant induced directly by the the Noether symmetry of the system without perturbation is given. The concept of discrete high-order adiabatic invariant is presented, the criterion of the perturbation to the Noether symmetry is established, and the discrete the Noether adiabatic invariant induced directly by the perturbation to the Noether symmetry is obtained. Lastly, an example is discussed to illustrate the application of the 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: 2012
• Volume: 122
• Issue: 1
• Pages: 25-30

Dates

published

2012-07

received

2011-04-15

(unknown)

2012-03-02

Contributors

author

M. Zhang

• Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, China
• Key Laboratory of Space Object and Debris Observation, P.O. CAS, Nanjing 210008, China

author

J. Fang

• College of Science, China University of Petroleum, Qingdao 266555, China

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Identifiers

DOI

10.12693/APhysPolA.122.25