About the separability of completely integrable quasi-bi-Hamiltonian systems with compact levels

被引：4
|
作者：
Boualem, H. [1 ]
Brouzet, R. [1 ,2 ]
Rakotondralambo, J. [3 ]
机构：
[1] Univ Montpellier 2, CNRS, I3M, UMR 5149, F-34095 Montpellier 5, France
[2] Univ Nimes, EMIAN, F-30021 Nimes 1, France
[3] Univ Antananarivo, Fac Sci, Dept Math & Informat, Antananarivo, Madagascar
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2008年 / 26卷 / 06期
关键词：
Bi-Hamiltonian systems; Quasi-bi-Hamiltonian systems; Action-angle coordinates; Liouville torus; Arnold-Liouville integrability; omega N-manifolds; Separability;
D O I：
10.1016/j.difgeo.2008.04.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We Study completely integrable quasi-bi-Hamiltonian systems whose common level surfaces are compact and prove in particular their separability in the sense of Falqui and Pedroni. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：583 / 591
页数：9
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