New approach to symmetries and singularities in integrable Hamiltonian systems

被引：23

作者：

Fomenko, A. T. ^{[1
]}

Konyaev, A. Yu. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 07期

关键词：

Commutative polynomials; Bifurcation diagram; Spectral curve; Atoms; Two-dimensional integrable systems; LIE-ALGEBRAS; INDEX; MAPS;

D O I：

10.1016/j.topol.2011.11.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article describes new results obtained in the theory of symmetries and singularities of integrable Hamiltonian systems, developed in recent years by the Fomenko school in Moscow State University. The Sadetov's proof of Mischenko-Fomenko conjecture, the correlation between the discriminant of the spectral curve and the bifurcation diagram and the theory of atoms for the two-dimensional integrable systems are discussed. (c) 2011 Elsevier B.V. All rights reserved.

引用

页码：1964 / 1975

页数：12

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