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  • © 1994

Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems

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Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 16)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-vii
  2. Nonholonomic Dynamical Systems, Geometry of Distributions and Variational Problems

    1. Front Matter

      Pages 1-3
    2. Introduction

      • V. I. Arnol’d, S. P. Novikov
      Pages 4-9
    3. Geometry of Distributions

      • V. I. Arnol’d, S. P. Novikov
      Pages 10-35
    4. Basic Theory of Nonholonomic Riemannian Manifolds

      • V. I. Arnol’d, S. P. Novikov
      Pages 35-50
    5. Nonholonomic Variational Problems on Three-Dimensional Lie Groups

      • V. I. Arnol’d, S. P. Novikov
      Pages 51-81
  3. Integrable Systems II

    1. Front Matter

      Pages 83-86
    2. Introduction

      • V. I. Arnol’d, S. P. Novikov
      Pages 86-86
    3. Integrable Systems and Finite-Dimensional Lie Algebras

      • M. A. Olshanetsky, A. M. Perelomov
      Pages 87-116
    4. Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems

      • A. G. Reyman, M. A. Semenov-Tian-Shansky
      Pages 116-225
    5. Quantization of Open Toda Lattices

      • M. A. Semenov-Tian-Shansky
      Pages 226-259
  4. Geometric and Algebraic Mechanisms of the Integrability of Hamiltonian Systems on Homogeneous Spaces and Lie Algebras

    1. Front Matter

      Pages 261-262
    2. Geometry and Topology of Hamiltonian Systems

      • V. I. Arnol’d, S. P. Novikov
      Pages 263-303
    3. The Algebra of Hamiltonian Systems

      • V. I. Arnol’d, S. P. Novikov
      Pages 303-333
  5. Back Matter

    Pages 335-344

Keywords

  • Hamiltonian Systems
  • Hamiltonsche Systeme
  • Integrable Systems
  • Integrierbare Systeme
  • Lie Algebras
  • Lie Algebren
  • Nonholonomic Mechanics
  • Symplectic Geometry
  • algebra
  • differential equation
  • differential geometry
  • nichtholonome Mechanik
  • symplektische Geo

Bibliographic Information

Buying options

eBook
USD 129.00
Price excludes VAT (USA)
  • ISBN: 978-3-662-06796-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 169.99
Price excludes VAT (USA)
Hardcover Book
USD 169.99
Price excludes VAT (USA)