Non-integrability of first order resonances in Hamiltonian systems in three degrees of freedom

被引：20

作者：

Christov, Ognyan ^{[1
]}

机构：

[1] Univ Sofia, Dept Math & Informat, Sofia 1164, Bulgaria

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2012年 / 112卷 / 02期

关键词：

Resonance; Non-integrability; Morales-Ramis theory; INTEGRABILITY; CHAOS;

D O I：

10.1007/s10569-011-9389-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The normal forms of the Hamiltonian 1: 2:omega resonances to degree three for omega = 1, 3, 4 are studied for integrability. We prove that these systems are non-integrable except for the discrete values of the parameters which are well known. We use the Ziglin-Morales-Ramis method based on the differential Galois theory.

引用

页码：149 / 167

页数：19

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