Topological classification of integrable systems / A.T. Fomenko, editor ; translation edited by A. B. Sossinsky.

Format:

Book

Contributor:

Fomenko, A. T., editor.

Sosinskiĭ, A. B. (Alekseĭ Bronislavovich), translator.

American Mathematical Society, issuing body.

Series:

Advances in Soviet mathematics ; v. 6.

ADVSOV, 2472-4912 ; v. 6

Language:

English

Russian

Subjects (All):

Hamiltonian systems.

Invariants--Classification.

Invariants.

Mathematics--Soviet Union.

Mathematics.

Genre:

Electronic books.

Physical Description:

1 online resource (vi, 345 pages) : illustrations.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1991]

Language Note:

Translated from the Russian.

System Details:

Mode of access : World Wide Web

Contents:

The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary many degrees of freedom). Molecular table of all integrable systems with two degrees of freedom / A. Fomenko

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/01 Integrable Hamiltonian systems in analytic dynamics and mathematical physics / G. Okuneva

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/02 Fomenko invariants for the main integrable cases of the rigid body motion equations / A. Oshemkov

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/03 Methods of calculation of the Fomenko-Zieschang invariant / A. Bolsinov

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/04 Topological invariants for some algebraic analogs of the Toda lattice / L. Polyakova

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/05 Topological classification of integrable Bott geodesic flows on the two-dimensional torus / E. Selivanova

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/06 On the complexity of integrable Hamiltonian systems on three-dimensional isoenergy submanifolds / T. Nguyen

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/07 Symplectic connections and Maslov-Arnold characteristic classes / V. Trofimov

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/08 Topological classification of integrable nondegenerate Hamiltonians on the isoenergy three-dimensional sphere / A. Fomenko and T. Nguyen

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/09 Description of the structure of Fomenko invariants on the boundary and inside $Q$-domains, estimates of their number on the lower boundary for the manifolds $S^3$, $\Bbb R P^3$, $S^1\times S^2$, and $T^3$ / V. Kalashnikov, Jr.

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/10 Theory of rough classification of integrable nondegenerate Hamiltonian differential equations on four-dimensional manifolds. Application to classical mechanics / A. Fomenko

http://www.ams.org/advsov/006 https://doi.org/10.1090/advsov/006/11

Notes:

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Includes bibliographical references.

Description based on print version record.

Other Format:

Print version: Topological classification of integrable systems /

ISBN:

9781470445539 (online)

Access Restriction:

Restricted for use by site license.