Integrable systems, nonholonomic dynamical systems
著者
書誌事項
Integrable systems, nonholonomic dynamical systems
（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 16 . Dynamical systems ; 7）
Springer-Verlag, c1994
- : us
- : gw
- タイトル別名
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Dinamicheskie sistemy
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注記
Translated from the Russian
Includes bibliographical references and indexes
内容説明・目次
内容説明
A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.
目次
Contents: Nonholonomic Dynamical Systems, Geometry of Distributions and Variational Problems by A.M. Vershik, V.Ya. Gershkovich.- Integrable Systems and Infinite Dimensional Lie Algebras by M.A. Olshanetsky, M.A. Perelomov.- Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems by A.G. Reyman, M.A. Semenov-Tian-Shansky.- Quantization of Open Toda Lattices by M.A. Semenov-Tian-Shansky.- Geometric and Algebraic Mechanisms of the Integrability of Hamiltonian Systems on Homogeneous Spaces and Lie Algebras by V.V. Trofimov, A.T. Fomenko.
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