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

被引：4

作者：

Wang, P. ^{[1
]}

Zhu, H. -J. ^{[1
]}

机构：

[1] Xinjiang Normal Univ, Coll Phys & Elect Engn, Urumqi 830054, Xinjiang, Peoples R China

来源：

ACTA PHYSICA POLONICA A | 2011年 / 119卷 / 03期

关键词：

LIE SYMMETRIES; APPROXIMATE SYMMETRIES; CONFORMAL-INVARIANCE; NOETHER SYMMETRIES; THEOREM;

D O I：

10.12693/APhysPolA.119.298

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：298 / 303

页数：6

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