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Vorob'ev Yurii Mikhailovich

Publications in Math-Net.Ru

  1. $G$-Invariant Deformations of Almost-Coupling Poisson Structures

    SIGMA, 13 (2017), 022, 13 pp.
  2. Invariant Poisson Realizations and the Averaging of Dirac Structures

    SIGMA, 10 (2014), 096, 20 pp.
  3. On Lie algebroids and Poisson algebras

    SIGMA, 8 (2012), 006, 14 pp.
  4. Obstructions to the Equivalence of Poisson Structures Near a Symplectic Leaf of Semisimple and Compact Type

    Funktsional. Anal. i Prilozhen., 42:2 (2008),  81–84
  5. Linearizability of Poisson structures around singular symplectic leaves

    Mat. Zametki, 80:6 (2006),  825–837
  6. On the Linearization of Hamiltonian Systems on Poisson Manifolds

    Mat. Zametki, 78:3 (2005),  323–330
  7. On Linearized Poisson Structures

    Mat. Zametki, 70:4 (2001),  535–543
  8. Hamiltonian structures of the first variation equations and symplectic connections

    Mat. Sb., 191:4 (2000),  3–28
  9. Quasi-modes corresponding to the stable type of conditionally periodic motion

    Mat. Zametki, 55:5 (1994),  36–42
  10. Transversally-maximal algebras of infinitesimal Poisson automorphisms

    Uspekhi Mat. Nauk, 49:6(300) (1994),  201–202
  11. Quasimodes generated by the characters of a dynamical group and deformation of the Kirillov form

    Funktsional. Anal. i Prilozhen., 26:1 (1992),  71–73
  12. The complex Maslov germ generated by a linear connection

    Mat. Zametki, 48:6 (1990),  29–37
  13. Basis systems on the torus generated by finite-zone integration of the Korteweg–de Vries equation

    Mat. Zametki, 47:1 (1990),  47–61
  14. Completeness of the system of eigenfunctions of a nonelliptic operator on the torus, generated by a Hill operator with a finite-zone potential

    Funktsional. Anal. i Prilozhen., 22:2 (1988),  65–66
  15. Poisson manifolds and the schouten bracket

    Funktsional. Anal. i Prilozhen., 22:1 (1988),  1–11
  16. Corrections to the classical dynamics and to the quantization conditions arising in the deformation of Poisson brackets

    Dokl. Akad. Nauk SSSR, 297:6 (1987),  1294–1298
  17. Quasiclassical approximation for the models of spin-spin interaction on the one-dimensional lattice

    Zap. Nauchn. Sem. LOMI, 133 (1984),  63–76
  18. Quasiclassical asymptotic behaviors for discrete models of electron-phonon interaction: Maslov's method and the adiabatic approximation

    TMF, 57:1 (1983),  63–74
  19. Quasiclassical quantization of the periodic Toda chain from the point of view of Lie algebras

    TMF, 54:3 (1983),  477–480


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