Topological classification of integrable systems /

Guardado en:
Otros Autores: Fomenko, A. T. (Editor )
Formato: Libro
Idioma:English
Russian
Publicado: Providence, R.I. : American Mathematical Society, c1991.
Series:Advances in Soviet mathematics, v. 6
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Tabla de Contenidos:
  • 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.