Research Catalog

Title

Topological classification of integrable systems / A.T. Fomenko, editor.

Publication

Providence, R.I. : American Mathematical Society, ©1991.

Items in the Library & Off-site

Details

Additional Authors

Fomenko, A. T.

Description

vi, 345 pages : illustrations; 27 cm

Series Statement

Advances in Soviet mathematics, 1051-8037 ; v. 6

Uniform Title

Advances in Soviet mathematics ; v. 6.

Subject

• Hamiltonian systems
• Invariants > Classification
• Invariants
• Systèmes hamiltoniens

Genre/Form

Classification.

Bibliography (note)

• Includes bibliographical references.

Contents

The theory of invariants of multidimensional integrable Hamiltonian systems / A.T. Fomenko -- Integrable Hamiltonian systems in analytic dynamics and mathematical physics / G.G. Okuneva -- Fomenko invariants for the main integrable cases of the rigid body motion equations / A.A. Oshemkov -- Methods of calculation of the Fomenko-Zieschang invariant / A.V. Bolsinov -- Topological invariants for some algebraic analogs of the Toda lattice / L.S. Polyakova -- Topological classification of integrable Bott geodesic flows on the two-dimensional torus / E.N. Selivanova -- On the complexity of integrable Hamiltonian systems on three-dimensional isoenergy submanifolds / T.Z. Nguyen -- Symplectic connections and Maslov-Arnold characteristic classes / V.V. Trofimov -- Topological classification of integrable nondegenerate Hamiltonians on the isoenergy three-dimensional sphere / A.T. Fomenko and T.Z. Nguyen -- Description of the structure of Fomenko invariants on the boundary and inside Q-domains ... / V.V. Kalashnikov, Jr. -- Theory of rough classification of integrable nondegenerate Hamiltonian differential equations on four-dimensional manifolds / A.T. Fomenko.

ISBN

• 082184105X
• 9780821841051

LCCN

91640741

OCLC

• ocm25175581
• 25175581
• SCSB-9082949

Owning Institutions

Princeton University Library