Integrable systems, nonholonomic dynamical systems

Author(s)

• Arnolʹd, Vladimir Igorevich
• Novikov, Sergeĭ Petrovich

Bibliographic Information

Integrable systems, nonholonomic dynamical systems

V.I. Arnolʹd, S.P. Novikov (eds.)

（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 16 . Dynamical systems ; 7）

Springer-Verlag, c1994

• : us
• : gw

Other Title

Dinamicheskie sistemy

Note

Translated from the Russian

Includes bibliographical references and indexes

Description and Table of Contents

Description

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.

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.

by "Nielsen BookData"

Details

• NCID: BA21440898
• ISBN:
  • 0387181768
  • 3540181768
• LCCN: 92024315
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: 341 p.
• Size: 24 cm
• Classification:
  • LCC : QA805
  • LCC : QA614.8
  • DC20 : 531 s
  • DC20 : 515/.352
  • NDC8 : 413.62
• Subject Headings:
  • LCSH : Differentiable dynamical systems
• Parent Bibliography ID:
  • BA01321819