Perturbation to symmetries and adiabatic invariants of a type of nonholonomic singular system

被引：18

作者：

Chen, Xiang-Wei ^{[1
]}

Li, Yan-Min ^{[1
]}

机构：

[1] Department of Physics, Shangqiu Teachers College

来源：

| 2003年 / Institute of Physics Publishing卷 / 12期

关键词：

Adiabatic invariant; Exact invariant; Nonholonomic singular system; Perturbation to symmetry;

D O I：

10.1088/1009-1963/12/12/002

中图分类号：

学科分类号：

摘要：

Based on the theory of symmetries and conserved quantities, the perturbation to the symmetries and adiabatic invariants of a type of nonholonomic singular system are discussed. Firstly, the concept of higher order adiabatic invariants of the system is proposed. Secondly, the conditions for existence of the exact invariants and adiabatic invariants are proved, and their forms are given. Thirdly, we study the inverse problems of the perturbation to symmetries of the system. An example is presented to illustrate these results. © 2003 Chin. Phys. Soc. and IOP Publishing Ltd.

引用

页码：1349 / 1353

页数：4

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