Topological classification of integrable systems
A. T. Fomenko, editor.
Providence, R.I. : American Mathematical Society, ©1991.
vi, 345 págs. : ilustraciones ; 26 cm.
Serie: Advances in Soviet mathematics, ISSN 1051-8037 ; v. 6
ISBN: 082184105X
"Translation edited by A. B. Sossinsky."
Traducido del ruso.
Incluye referencias bibliográficas.
Contenido
- A. T. Fomenko, The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrar[il]y many degrees of freedom). Molecular table of all integrable systems with two degrees of freedom
- G. G. Okuneva, Integrable Hamiltonian systems in analytic dynamics and mathematical physics
- A. A. Oshemkov, Fomenko invariants for the main integrable cases of the rigid body motion equations
- A. V. Bolsinov, Methods of calculation of the Fomenko-Zieschang invariant
- L. S. Polyakova, Topological invariants for some algebraic analogs of the Toda lattice
- E. N. Selivanova, Topological classification of integrable Bott geodesic flows on the two-dimensional torus
- T. Z. Nguyen [Nguyen Tien Zung], On the complexity of integrable Hamiltonian systems on three-dimensional isoenergy submanifolds (description of domains in Fomenko's molecular table filled with integrable systems with the isoenergy surfaces most frequently encountered in physics)
- V. V. Trofimov, Symplectic connections and Maslov-Arnol\cprime d characteristic classes
- A. T. Fomenko and T. Z. Nguyen [Nguyen Tien Zung], Topological classification of integrable nondegenerate Hamiltonians on the isoenergy three-dimensional sphere
- V. V. Kalashnikov, Jr., 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 $S3,\;R{\rm P}3,\;S1\times S2$, and $T3$
- A. T. Fomenko, Theory of rough classification of integrable nondegenerate Hamiltonian differential equations on four-dimensional manifolds. Application to classical mechanics.