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References (19)
-
A. Brailov (1987)
CONSTRUCTION OF COMPLETELY INTEGRABLE GEODESIC FLOWS ON COMPACT SYMMETRIC SPACESMathematics of The Ussr-izvestiya, 29
-
A. Weinstein (1983)
The local structure of Poisson manifoldsJ. Diff.Geom., 18
-
M.V. Meshcheryakov (1983)
On the characteristic property of the inertia tensor of a multidimensional solid bodyUspekhi Mat. Nauk, 38
-
S.V. Manakov (1976)
Remark on the integration of the Euler equations in the dynamics of a n-dimensional solid bodyFunkt. Anal., 10
-
E.M. Andreev, E.B. Vinberg, A.G. Elashvili (1967)
Orbits of maximal dimension of semisimple linear Lie groupsFunkt. Anal., 1
-
A. Elashvili (1972)
Canonical form and stationary subalgebras of points of general position for simple linear Lie groupsFunctional Analysis and Its Applications, 6
-
V.I. Arnold, A.B. Givental (1985)
Symplectic geometry.-Modern problems of mathematics. Fundamental directionsVINITI, 4
-
Friedrich Knop, Peter Littelmann (1987)
Der Grad erzeugender Funktionen von InvariantenringenMathematische Zeitschrift, 196
-
J. Igusa (1970)
A Classification of Spinors Up to Dimension TwelveAmerican Journal of Mathematics, 92
-
M.A. Semenov-Tyan-Shansky (1983)
What is classical r-matrixFunkt. Anal., 17
-
A.T. Fomenko (1986)
Topology of surfaces of constant energy of integrable Hamiltonian systems and obstructions to integrabilityIzvestia AN SSSR, Ser. Mat., 50
-
Dao Chong Thi (1981)
Integration of Euler equations on homogeneous symplectic manifoldsMatem. Sbornik, 106
-
A.S. Mishchenko, A.T. Fomenko (1978)
Generalized Liouville method for integrating Hamiltonian systemsFunct. Anal., 12
-
A. Fomenko (1988)
Qualitative geometrical theory of integrable systems. classification of isoenergetic surfaces and bifurcation of liouville tori at the critical energy valuesLecture Notes in Mathematics, 1334
-
A.S. Mishchenko, A.T. Fomenko (1978)
On the characteristic Euler equation on finite dimensional Lie groupsIzvestia AN SSSR. Ser. Mat., 42
-
A.V. Bolsinov (1988)
Completeness criterion for families of functions in involution constructed by the argument shift methodDoklady AN SSSR, 301
-
M. Rais (1978)
L'indice des produits semi-directs E x p gC.R. Acad. Sc. Paris, 287
-
V. Gatti, E. Viniberghi (1978)
Spinors of 13-dimensional spaceAdvances in Mathematics, 30
-
F. Magri (1978)
A Simple model of the integrable Hamiltonian equationJournal of Mathematical Physics, 19
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/BF00047046
- Publisher site
- See Article on Publisher Site
Abstract
A study is made concerning families of consistent Poisson brackets in the setting of completely integrable Hamiltonian systems. A method is presented for verifying completeness of systems of commuting first integrals.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: May 1, 2004