Integrability of Hamiltonian systems and the Lame equation

被引：2
|
作者：
Kasperczuk, SP [1 ]
机构：
[1] Univ Zielona Gora, Inst Phys, PL-65246 Zielona Gora, Poland
来源：
APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 05期
关键词：
Hamiltonian systems; NVE; Lame equation; basically periodic solutions; monodromy matrix; integrability; Henon-Heiles system;
D O I：
10.1016/j.aml.2004.03.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the integrability of Hamiltonian systems with two degrees of freedom. We investigate the normal variational equations and obtain a necessary condition for integrability of these systems. As an application we study the integrability of the Henon-Heiles system, whose normal variational equation is of Lame type. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：555 / 561
页数：7
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