Degenerate invariant manifolds of some completely integrable systems

被引：1

作者：

Médan, C ^{[1
]}

机构：

[1] Univ Toulouse 3, Lab Math Emile Picard, CNRS, UMR 5580,UFR MIG, F-31062 Toulouse, France

来源：

MATHEMATISCHE ZEITSCHRIFT | 1999年 / 232卷 / 04期

关键词：

Integrable System; Hamiltonian System; Large Class; Invariant Manifold; Integrable Hamiltonian System;

D O I：

10.1007/PL00004777

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a large class of k degrees of freedom integrable Hamiltonian systems, the so-called Jacobi-Moser-Mumford systems, are Bott systems (this means that the regular critical points of the first integrals are nondegenerate). Thereby Fomenko's theory about classification of bifurcations of Liouville tori holds for such systems.

引用

页码：665 / 689

页数：25

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