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Fedorov Yurii Nikolaevich

Publications in Math-Net.Ru

  1. Discrete Geodesic Flows on Stiefel Manifolds

    Trudy Mat. Inst. Steklova, 310 (2020),  176–188
  2. Separation of Variables and Explicit Theta-function Solution of the Classical Steklov–Lyapunov Systems: A Geometric and Algebraic Geometric Background

    Regul. Chaotic Dyn., 16:3-4 (2011),  374–395
  3. A Discretization of the Nonholonomic Chaplygin Sphere Problem

    SIGMA, 3 (2007), 044, 15 pp.
  4. Algebraic closed geodesics on a triaxial ellipsoid

    Regul. Chaotic Dyn., 10:4 (2005),  463–485
  5. An Ellipsoidal Billiard with a Quadratic Potential

    Funktsional. Anal. i Prilozhen., 35:3 (2001),  48–59
  6. Integrable Systems, Poisson Pencils, and Hyperelliptic Lax Pairs

    Regul. Chaotic Dyn., 5:2 (2000),  171–180
  7. Dynamic Systems with the Invariant Measure on Riemann's Symmetric Pairs $(GL(N), SO(N))$

    Regul. Chaotic Dyn., 1:1 (1996),  38–44
  8. Integrable systems, Poisson pencils, and hyperelliptic Lax pairs

    Zap. Nauchn. Sem. POMI, 235 (1996),  87–103
  9. On two modified integrable problems in dynamics

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6,  102–105
  10. Integrable systems on the sphere with elastic interaction potentials

    Mat. Zametki, 56:3 (1994),  74–79
  11. A generalized Poinsot interpretation of the motion of a multidimensional rigid body

    Trudy Mat. Inst. Steklov., 205 (1994),  200–206
  12. Lax representations with a spectral parameter defined on coverings of hyperelliptic curves

    Mat. Zametki, 54:1 (1993),  94–109
  13. Multidimensional integrable generalizations of Steklov–Lyapunov systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 6,  53–56
  14. Two integrable nonholonomic systems in classical dynamics

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 4,  38–41
  15. Motion of a rigid body in a spherical suspension

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 5,  91–93

  16. Hamiltonization of the generalized Veselova LR system

    Regul. Chaotic Dyn., 14:4-5 (2009),  495–505
  17. Chaplygin ball over a fixed sphere: an explicit integration

    Regul. Chaotic Dyn., 13:6 (2008),  557–571


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