On the global structure of normal forms for slow-fast Hamiltonian systems

被引：3
|
作者：
Avendano Camacho, M. [1 ]
Vorobiev, Yu [1 ]
机构：
[1] Univ Sonora, Deparment Math, Hermosillo 83000, Sonora, Mexico
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 20卷 / 02期
关键词：
AVERAGING METHOD; PERIOD; ANGLES; ENERGY; HANNAY;
D O I：
10.1134/S1061920813020027
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the framework of Lie transforms and the global method of averaging, the normal forms of a multidimensional slow-fast Hamiltonian system are studied in the case when the flow of the unperturbed (fast) system is periodic and the induced (1)-action is not necessarily free and trivial. An intrinsic splitting of the second term in a (1)-invariant normal form of first order is derived in terms of the Hannay-Berry connection assigned to the periodic flow.
引用
收藏
页码：138 / 148
页数：11
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