Alexander P. Seyranian

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http://seyranian.imec.msu.ru

Articles in Scholarly Journals [Incomplete List]

  1. The stability of an inverted pendulum with a vibrating suspension point?
    Journal of Applied Mathematics and Mechanics, vol. 70, no. 5, pp. 754–761, 2006
  2. Berry phase around degeneracies
    Doklady Mathematics, vol. 73, no. 1, pp. 129–133, 2006
  3. Instability and periodic motion of a physical pendulum with a vibrating suspension point (theoretical and experimental approach)
    Doklady Physics, vol. 50, no. 9, pp. 467–472, 2005
  4. Singularities of energy surfaces under non-Hermitian perturbations
    Doklady Physics, vol. 50, no. 11, pp. 577–582, 2005
  5. Stabilization and destabilization of a circulatory system by small velocity-dependent forces
    Journal of Sound and Vibration, vol. 283, no. 3-5, pp. 781–800, 2005
  6. Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation
    Journal of Physics A: Mathematical and General, vol. 38, no. 24, pp. 5531–5546, 2005
  7. Coupling of eigenvalues of complex matrices at diabolic and exceptional points
    Journal of Physics A: Mathematical and General, vol. 38, no. 8, pp. 1723–1740, 2005
  8. Geometric phase around exceptional points
    Physical Review A, vol. 72, no. 1, 2005
  9. The effect of small internal and external damping on the stability of distributed non-conservative systems†
    Journal of Applied Mathematics and Mechanics, vol. 69, no. 4, pp. 529–552, 2005
  10. The regions of instability of a system with a periodically varying moment of inertia†
    Journal of Applied Mathematics and Mechanics, vol. 69, no. 6, pp. 810–815, 2005
  11. The swing: Parametric resonance
    Journal of Applied Mathematics and Mechanics, vol. 68, no. 5, pp. 757–764, 2004
  12. Metelitsyn's inequality and stability criteria for mechanical systems*1
    Journal of Applied Mathematics and Mechanics, vol. 68, no. 2, pp. 199–205, 2004
  13. Swing problem
    Doklady Physics, vol. 49, no. 1, pp. 64–68, 2004
  14. Collapse of the Keldysh Chains and Stability of Continuous Nonconservative Systems
    SIAM Journal on Applied Mathematics, vol. 64, no. 4, p. 1383, 2004
  15. Effect of small dissipative and gyroscopic forces on the stability of nonconservative systems
    Doklady Physics, vol. 48, no. 12, pp. 679–684, 2003
  16. Interaction of eigenvalues in multi-parameter problems
    Journal of Sound and Vibration, vol. 267, no. 5, pp. 1047–1064, 2003
  17. The Lagrange problem on an optimal column: old and new results
    Structural and Multidisciplinary Optimization, vol. 25, no. 5-6, pp. 393–410, 2003
  18. On stability boundary of linear multi-parameter Hamiltonian systems
    Acta Mechanica Sinica, vol. 18, no. 6, pp. 661–670, 2002
  19. Metamorphoses of characteristic curves in circulatory systems
    Journal of Applied Mathematics and Mechanics, vol. 66, no. 3, pp. 371–385, 2002
  20. Solution to the Herrmann-Smith problem
    Doklady Physics, vol. 47, no. 10, pp. 767–771, 2002
  21. Resonance domains for the Hill equation with allowance for damping
    Doklady Physics, vol. 46, no. 1, pp. 41–44, 2001
  22. Overlapping of frequency curves in nonconservative systems
    Doklady Physics, vol. 46, no. 3, pp. 184–189, 2001
  23. Parametric resonance in systems with weak dissipation
    Doklady Physics, vol. 46, no. 6, pp. 434–439, 2001
  24. Parametric resonance in systems with small dissipation
    Journal of Applied Mathematics and Mechanics, vol. 65, no. 5, pp. 755–767, 2001
  25. Bifurcations of Eigenvalues of Gyroscopic Systems With Parameters Near Stability Boundaries
    Journal of Applied Mechanics, vol. 68, no. 2, p. 199, 2001
  26. On stability boundaries of conservative systems
    Zeitschrift für angewandte Mathematik und Physik, vol. 52, no. 4, pp. 669–679, 2001
  27. On the stability boundary of hamiltonian systems
    Applied Mathematics and Mechanics, vol. 23, no. 2, pp. 187–193, 2001
  28. MULTI-PARAMETER LINEAR PERIODIC SYSTEMS: SENSITIVITY ANALYSIS AND APPLICATIONS
    Journal of Sound and Vibration, vol. 229, no. 1, pp. 89–111, 2000
  29. On singularities of boundaries for parametric resonance
    Doklady Physics, vol. 45, no. 8, pp. 410–414, 2000
  30. On the boundaries of the parametric resonance domain
    Journal of Applied Mathematics and Mechanics, vol. 64, no. 6, pp. 909–923, 2000
  31. The stability domains of hamiltonian systems
    Journal of Applied Mathematics and Mechanics, vol. 63, no. 4, pp. 545–555, 1999
  32. Stability analysis for multi-parameter linear periodic systems
    Archive of Applied Mechanics (Ingenieur Archiv), vol. 69, no. 3, pp. 160–180, 1999
  33. On Singularities of a Boundary of the Stability Domain
    SIAM Journal on Matrix Analysis and Applications, vol. 21, no. 1, p. 106, 1999
  34. Singularities of the boundaries of stability domains
    Journal of Applied Mathematics and Mechanics, vol. 62, no. 6, pp. 909–920, 1998
  35. Analysis of the gyroscopic stabilization of a system of rigid bodies
    Zeitschrift für angewandte Mathematik und Physik, vol. 48, no. 5, p. 840, 1997
  36. On gyroscopic stabilization
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 46, no. 2, pp. 255–267, 1995
  37. Multiple eigenvalues in structural optimization problems
    Structural Optimization, vol. 8, no. 4, pp. 207–227, 1994
  38. Collision of eigenvalues in linear oscillatory systems
    Journal of Applied Mathematics and Mechanics, vol. 58, no. 5, pp. 805–813, 1994
  39. Oscillation frequency evolution of a dissipative system
    Journal of Applied Mathematics and Mechanics, vol. 57, no. 4, pp. 601–611, 1993
  40. Multiple eigenvalues in optimization problems
    Journal of Applied Mathematics and Mechanics, vol. 51, no. 2, pp. 272–275, 1987
  41. Sufficient conditions for an extremum in eigenvalue optimization problems
    Journal of Applied Mathematics and Mechanics, vol. 48, no. 4, pp. 466–474, 1984
  42. Sensitivity analysis for problems of dynamic stability
    International Journal of Solids and Structures, vol. 19, no. 4, pp. 315–335, 1983
  43. Bimodal solutions in eigenvalue optimization problems
    Journal of Applied Mathematics and Mechanics, vol. 47, no. 4, pp. 451–457, 1983
  44. Sensitivity analysis and optimization of aeroelastic stability
    International Journal of Solids and Structures, vol. 18, no. 9, pp. 791–807, 1982
  45. Homogeneous functionals and structural optimization problems
    International Journal of Solids and Structures, vol. 15, no. 10, pp. 749–759, 1979