The phase topology of a special case of Goryachev integrability in rigid body dynamics

被引：3

作者：

Ryabov, P. E. ^{[1
]}

机构：

[1] Govt Russian Federat, Financial Univ, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2014年 / 205卷 / 07期

基金：

俄罗斯基础研究基金会;

关键词：

Kirchhoff's equations; completely integrable Hamiltonian systems; algebraic separation of variables; bifurcation diagram; bifurcations of Liouville tori; EXPLICIT INTEGRATION;

D O I：

10.1070/SM2014v205n07ABEH004408

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The phase topology of a special case of Goryachev integrability in the problem of motion of a rigid body in a fluid is investigated using the method of Boolean functions, which was developed by Kharlamov for algebraically separated systems. The bifurcation diagram of the moment map is found and the Fomenko invariant, which classifies the systems up to rough Liouville equivalence, is specified.

引用

页码：1024 / 1044

页数：21

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