
eBook - ePub
Integrable Hamiltonian Systems
Geometry, Topology, Classification
- 752 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
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.
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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
- Cover
- Halftitle Page
- Title Page
- Copyright Page
- Table of Contents
- Preface
- Chapter 1 Basic Notions
- Chapter 2 The Topology of Foliations on Two-Dimensional Surfaces Generated by Morse Functions
- Chapter 3 Rough Liouville Equivalence of Integrable Systems with Two Degrees of Freedom
- Chapter 4 Liouville Equivalence of Integrable Systems with Two Degrees of Freedom
- Chapter 5 Orbital Classification of Integrable Systems with Two Degrees of Freedom
- Chapter 6 Classification of Hamiltonian Flows on Two-Dimensional Surfaces up to Topological Conjugacy
- Chapter 7 Smooth Conjugacy of Hamiltonian Flows on Two-Dimensional Surfaces
- Chapter 8 Orbital Classification of Integrable Hamiltonian Systems with Two Degrees of Freedom. The Second Step
- Chapter 9 Liouville Classification of Integrable Systems with Two Degrees of Freedom in Four-Dimensional Neighborhoods of Singular Points
- Chapter 10 Methods of Calculation of Topological Invariants of Integrable Hamiltonian Systems
- Chapter 11 Integrable Geodesic Flows on Two-dimensional Surfaces
- Chapter 12 Liouville Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces
- Chapter 13 Orbital Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces
- Chapter 14 The Topology of Liouville Foliations in Classical Integrable Cases in Rigid Body Dynamics
- Chapter 15 Maupertuis Principle and Geodesic Equivalence
- Chapter 16 Euler Case in Rigid Body Dynamics and Jacobi Problem about Geodesics on the Ellipsoid. Orbital Isomorphism
- References
- Subject Index