Polynomial map factorization of symplectic maps

被引：1
|
作者：
Rangarajan, G [1 ]
机构：
[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
[2] Indian Inst Sci, Ctr Theoret Studies, Bangalore 560012, Karnataka, India
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2003年 / 14卷 / 06期
关键词：
symplectic integration; polynomial maps; Lie perturbation theory;
D O I：
10.1142/S0129183103004991
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Long-term stability studies of nonlinear Hamiltonian systems require symplectic integration algorithms which are both fast and accurate. In this paper, we study a symplectic integration method wherein the symplectic map representing the Hamiltonian system is refactorized using polynomial symplectic maps. This method is analyzed for the three degree of freedom case. Finally, we apply this algorithm to study a large particle storage ring.
引用
收藏
页码：847 / 854
页数：8
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