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

页码：583 / 591

页数：9

共 50 条

[11] Projectively equivalent Riemannian spaces as quasi-bi-Hamiltonian systems
Crampin, M
ACTA APPLICANDAE MATHEMATICAE, 2003, 77 (03) : 237 - 248
[12] Projectively equivalent Riemannian spaces as quasi-bi-Hamiltonian systems
Crampin, M.
Acta Appl Math, 3 (237-248):
[13] Quasi-bi-Hamiltonian systems obtained from constrained flows
Zeng, YB
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2001, 8 : 300 - 304
[14] The quasi-bi-Hamiltonian formulation of the Lagrange top
Morosi, C
Tondo, G
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (07): : 1741 - 1750
[15] DYNAMICS OF COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS ON COMPACT MANIFOLDS
DESOLNEUXMOULIS, N
LECTURE NOTES IN MATHEMATICS, 1990, 1416 : 75 - 83
[16] Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
Beffa, Gloria Mari
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2008, 4
[17] A new type of energy-preserving integrators for quasi-bi-Hamiltonian systems
Liu, Kai
Fu, Ting
Shi, Wei
Zhou, Xuhuan
JOURNAL OF MATHEMATICAL CHEMISTRY, 2024, : 1667 - 1681
[18] Completely integrable Hamiltonian systems
Lesfari, A.
AEQUATIONES MATHEMATICAE, 2011, 82 (1-2) : 165 - 200
[19] A cohomological obstruction for global quasi-bi-Hamiltonian fields
Rakotondralambo, Joseph
PHYSICS LETTERS A, 2011, 375 (07) : 1064 - 1068
[20] Non-Pfaffian quasi-bi-Hamiltonian systems with two degrees of freedom
Rabenivo, J
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (34): : 7113 - 7120

← 1 2 3 4 5 →