Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems
1994
ISBN: 978-3-540-18176-7
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 344 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1490 g

Reihe: Encyclopaedia of Mathematical Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Arnol'd, V. I.

Novikov, S. P.

Weitere Mitwirkende

Reyman, A.G.

Semenov-Tian-Shansky, M. A.

Fomenko, A.T.

Gershkovich, V.Ya.

Olshanetsky, M.A.

Perelomov, A.M.

Rejman, A.G.

Semenov-Tian-Shansky, M.A.

Trofimov, V.V.

Vershik, A.M.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

Inhaltsverzeichnis

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.