Integrable Hamiltonian Systems
eBook - ePub

Integrable Hamiltonian Systems

Geometry, Topology, Classification

  1. 752 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Integrable Hamiltonian Systems

Geometry, Topology, Classification

About this book

Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants. The authors,

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Yes, you can access Integrable Hamiltonian Systems by A.V. Bolsinov,A.T. Fomenko in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Halftitle Page
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Preface
  7. Chapter 1 Basic Notions
  8. Chapter 2 The Topology of Foliations on Two-Dimensional Surfaces Generated by Morse Functions
  9. Chapter 3 Rough Liouville Equivalence of Integrable Systems with Two Degrees of Freedom
  10. Chapter 4 Liouville Equivalence of Integrable Systems with Two Degrees of Freedom
  11. Chapter 5 Orbital Classification of Integrable Systems with Two Degrees of Freedom
  12. Chapter 6 Classification of Hamiltonian Flows on Two-Dimensional Surfaces up to Topological Conjugacy
  13. Chapter 7 Smooth Conjugacy of Hamiltonian Flows on Two-Dimensional Surfaces
  14. Chapter 8 Orbital Classification of Integrable Hamiltonian Systems with Two Degrees of Freedom. The Second Step
  15. Chapter 9 Liouville Classification of Integrable Systems with Two Degrees of Freedom in Four-Dimensional Neighborhoods of Singular Points
  16. Chapter 10 Methods of Calculation of Topological Invariants of Integrable Hamiltonian Systems
  17. Chapter 11 Integrable Geodesic Flows on Two-dimensional Surfaces
  18. Chapter 12 Liouville Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces
  19. Chapter 13 Orbital Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces
  20. Chapter 14 The Topology of Liouville Foliations in Classical Integrable Cases in Rigid Body Dynamics
  21. Chapter 15 Maupertuis Principle and Geodesic Equivalence
  22. Chapter 16 Euler Case in Rigid Body Dynamics and Jacobi Problem about Geodesics on the Ellipsoid. Orbital Isomorphism
  23. References
  24. Subject Index