A. V. Bolsinov, A. T. Fomenko

Integrable Hamiltonian Systems (eBook, PDF)

Geometry, Topology, Classification

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 752
• Erscheinungstermin: 25. Februar 2004
• Englisch
• ISBN-13: 9780203643426
• Artikelnr.: 42564575

Autorenporträt

Bolsinov, A.V.; Fomenko, A.T.

Inhaltsangabe

Basic Notions. The Topology of Foliations on Two-Dimensional Surfaces
Generated by Morse Functions. Rough Liouville Equivalence of Integrable
Systems with Two Degrees of Freedom. Liouville Equivbalence of Integrable
Systems with Two Degrees of Freedom. Orbital Classification of Integrable
Systems with Two Degrees of Freedom. Classification of Hamiltonian Flows on
Two-Dimensional Surfaces up to Topological Conjugacy. Smooth Conjugacy of
Hamiltonian Flows on Two-Dimensional Surfaces. Orbital Classification of
Integrable Hamiltonian Systems with Two Degrees of Freedom. The Second
Step. Liouville Classification of Integrable Systems with Two Degrees of
Freedom in Four-Dimensional Neighborhoods of Singular Points. Methods of
Calculation of Topological Invariants of Integrable Hamiltonian Systems.
Integrable Geodesic Flows on Two-Dimensional Surfaces. Liouville
Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces.
Orbital Classification of Integrable Geodesic Flows on Two-Dimensional
Surfaces. The Topology of Liouville Foliations in Classical Integrable
Cases in Rigid Body Dynamics. Maupertuis Principle and Geodesic
Equivalence.