Dynamical Systems VII: Integrable Systems Nonholonomic Dynamical Systems / Edition 1

by V.I. Arnol'd, A.G. Reyman, A.T. Fomenko, S.P. Novikov, M.A. Semenov-Tian-Shansky

Overview

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.

Product Details

ISBN-13:	9783540181767
Publisher:	Springer Berlin Heidelberg
Publication date:	11/29/1993
Series:	Encyclopaedia of Mathematical Sciences , #16
Edition description:	1994
Pages:	344
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table 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.