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Topological classification of integrable systems / A. T. Fomenko, editor.
— Providence, R.I. : American Mathematical Society, c1991. vi, 345 p. : il. ; 26 cm. — (Advances in Soviet mathematics, ISSN 1051-8037 ; v. 6)
"Translation edited by A. B. Sossinsky."
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.
ISBN 082184105X
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