Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems
Mitarbeit: Fomenko, A.T.; Gershkovich, V.Ya.; Olshanetsky, M.A.; Perelomov, A.M.; Rejman, A.G.; Übersetzung: Reyman, A.G.; Semenov-Tian-Shansky, M.A.; Herausgegeben von Arnol'd, V.I.; Novikov, S.P.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Encyclopaedia of Mathematical Sciences Vol.16
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-05738-0
• Softcover reprint of hardcover 1st ed. 1994
• Seitenzahl: 356
• Erscheinungstermin: 4. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 20mm
• Gewicht: 540g
• ISBN-13: 9783642057380
• ISBN-10: 3642057381
• Artikelnr.: 32057683

Inhaltsangabe

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.