A new type of adiabatic invariants for Birkhoffian system

被引：24
|
作者：
Zhang Yi [1 ]
机构：
[1] Univ Sci & Technol, Dept Civil Engn, Suzhou 215011, Peoples R China
来源：
ACTA PHYSICA SINICA | 2006年 / 55卷 / 08期
关键词：
Birkhoffian system; Lie symmetry; perturbation; adiabatic invariant;
D O I：
10.7498/aps.55.3833
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The perturbation of symmetries and adiabatic invariants for Birkhoffian system are studied. The exact invariants in the form of Hojman conserved quantities introduced by the Lie symmetries of Birkhoffian system without perturbations are given. Based on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for Birkhoffian system under the action of small disturbance is investigated, and a new type of adiabatic invariants of the system are obtained. An example is given to illustrate the application of the results.
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页码：3833 / 3837
页数：5
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