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

页码：555 / 561

页数：7

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