Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems

V. I. Arnold, A. G. Reyman, A. T. Fomenko , S. P. Novikov

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English

Springer Verlag
01 June 2001

Mathematics & Sciences; Differential calculus & equations; Calculus of variations; Geometry; Topology

Series: 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.

Contributions by: A. T. Fomenko
Edited by: V. I. Arnold, S. P. Novikov
Translated by: A. G. Reyman, M. A. Semenov-Tian-Shansky
Imprint: Springer Verlag
Country of Publication: Germany
Volume: v.16
Dimensions: Height: 235mm, Width: 155mm, Spine: 20mm
Weight: 1.490kg
ISBN: 9783540181767
ISBN 10: 3540181768
Series: Encyclopaedia of Mathematical Sciences
Pages: 348
Publication Date: 01 June 2001
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active

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.