Dynamical Systems VII - Integrable Systems. Nonholonomic Dynamical Systems

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.

List of contents

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.

Product details

• Authors: A. T. Fomenko, V. Ya. Gershkovich, M. A. Olshanetsky, A. M. Perelomov, A. G. Rejman
• Assisted by: Vladimir I. Arnold (Editor), V. I. Arnol'd (Editor), I Arnol'd (Editor), V I Arnol'd (Editor), S. P. Novikov (Editor), S.P. Novikov (Editor), P Novikov (Editor), P Novikov (Editor), A. G. Reyman (Editor), M. A. Semenov-Tian-Shansky (Editor), A. G. Reyman (Translation), A.G. Reyman (Translation), Tian Shansky Semenov (Translation), M. A. Semenov-Tian-Shansky (Translation), M.A. Semenov-Tian-Shansky (Translation)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 12.10.2010
• EAN: 9783642057380
• ISBN: 978-3-642-05738-0
• No. of pages: 344
• Dimensions: 155 mm x 19 mm x 235 mm
• Weight: 540 g
• Illustrations: VII, 344 p.
• Series: Encyclopaedia of Mathematical Sciences; Encyclopaedia of Mathematical Sciences
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis