Integrable Hamiltonian systems : geometry, topology, classification / A.V. Bolsinov and A.T. Fomenko.

Author
Bolsinov, A. V. (Aleksei Viktorovich) [Browse]
Uniform title
Format
Book
Language
English
Published/​Created
Boca Raton, Fla. : Chapman & Hall/CRC, 2004.
Description
1 online resource (747 p.)

Details

Subject(s)
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Summary note
This volume considers the theory and applications of integrable Hamiltonian systems. Basic elements of Liouville functions and their singularities is systematically described and a classification of such systems for the case of integrable
Notes
Description based upon print version of record.
Bibliographic references
Includes bibliographical references and index.
Source of description
Description based on print version record.
Language note
English
Contents
  • Cover; Title; Copyright; 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 SurfacesChapter 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 SurfacesChapter 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
ISBN
  • 0-429-21240-2
  • 1-280-34817-8
  • 9786610348176
  • 0-203-64342-9
OCLC
  • 475909240
  • 263305328
Doi
  • 10.1201/9780203643426
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