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  • © 1994

Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems

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

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access