Dynamical systems VII : integrable systems, nonholonomic dynamical systems /

This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used througho...

Full description

Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010, Novikov, S. P. (Sergeĭ Petrovich)
Format: eBook
Language:English
Language Notes:Translation of: Dinamicheskie sistemy 7.
Published: Berlin ; London : Springer, [1994]
Series:Encyclopaedia of mathematical sciences ; volume 16.
Subjects:
Online Access:Connect to the full text of this electronic book
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.