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Magnitskii Nikolai Aleksandrovich

Publications in Math-Net.Ru

  1. Numerical analysis of laminar–turbulent transition by methods of chaotic dynamics

    Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020),  38–43
  2. Application of an immune network for detection of attacks to resources of the distributed information systems

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2009, no. 3,  22–26
  3. The new concept of a neural network for recognition and classification of pixel images

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2009, no. 1,  18–22
  4. Dynamical chaos in two-dimensional nonlinear nonautonomous systems of ordinary differential equations

    Differ. Uravn., 42:11 (2006),  1507–1514
  5. Transition to Chaos in a Nonclassical Reaction-Diffusion System

    Differ. Uravn., 41:12 (2005),  1675–1679
  6. On the Transition to Diffusion Chaos Through a Subharmonic Cascade of Bifurcations of Two-Dimensional Tori: Numerical Analysis

    Differ. Uravn., 41:11 (2005),  1550–1559
  7. Rotor type singular points of nonautonomous systems of differential equations and their role in the generation of singular attractors of nonlinear autonomous systems

    Differ. Uravn., 40:11 (2004),  1500–1514
  8. Finding Homoclinic and Heteroclinic Contours of Singular Points of Nonlinear Systems of Ordinary Differential Equations

    Differ. Uravn., 39:11 (2003),  1511–1520
  9. Transition to Chaos in Nonlinear Dynamical Systems Through a Subharmonic Cascade of Bifurcations of Two-Dimensional Tori

    Differ. Uravn., 38:12 (2002),  1606–1610
  10. A New View of the Lorenz Attractor

    Differ. Uravn., 37:11 (2001),  1494–1506
  11. Stabilization of unstable periodic solutions of delay equations

    Differ. Uravn., 36:11 (2000),  1488–1492
  12. Some approaches to the problem of the control of diffusion chaos

    Differ. Uravn., 35:5 (1999),  664–669
  13. Control of chaos in nonlinear dynamical systems

    Differ. Uravn., 34:11 (1998),  1501–1509
  14. On the stabilization of fixed points of chaotic dynamical systems

    Dokl. Akad. Nauk, 352:5 (1997),  610–612
  15. On the stabilization of fixed points of chaotic mappings

    Dokl. Akad. Nauk, 351:2 (1996),  175–177
  16. Hopf bifurcation in the Rössler system

    Differ. Uravn., 31:3 (1995),  538–541
  17. Pattern recognition by distributed dynamical systems

    Dokl. Akad. Nauk, 338:3 (1994),  320–321
  18. Series expansion of the Radon transform of functions of several variables in a ball

    Dokl. Akad. Nauk SSSR, 321:3 (1991),  496–498
  19. A new formula for series expansion of a function of several variables in the unit ball and its application for parallelizing multidimensional mappings and their constructive representation by artificial neural networks

    Dokl. Akad. Nauk SSSR, 321:2 (1991),  266–269
  20. On stability of closed-loop nonstationary processes

    Avtomat. i Telemekh., 1989, no. 10,  187–188
  21. The method of characteristic functions in stability theory

    Dokl. Akad. Nauk SSSR, 306:4 (1989),  799–802
  22. Stability of solutions of a class of nonlinear nonautonomous systems of differential equations in critical cases

    Dokl. Akad. Nauk SSSR, 304:1 (1989),  47–49
  23. Stokes multipliers and asymptotic expansions of solutions of ordinary differential equations with an irregular singular point

    Differ. Uravn., 20:11 (1984),  1877–1888
  24. Asymptotics of solutions of a Volterra integral equation of the first kind

    Dokl. Akad. Nauk SSSR, 269:1 (1983),  29–32
  25. Volterra linear integral equations of the first and third kinds

    Zh. Vychisl. Mat. Mat. Fiz., 19:4 (1979),  970–988
  26. Asymptotic behaviour of the solutions of differential equations with a small parameter in Banach space

    Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  774–776
  27. Multiparameter families of solutions of Volterra integral equations

    Dokl. Akad. Nauk SSSR, 240:2 (1978),  268–271
  28. On the existence of multiparameter families of solutions of a Volterra integral equation of the first kind

    Dokl. Akad. Nauk SSSR, 235:4 (1977),  772–774
  29. A certain method for the regularization of Volterra equations of the first kind

    Zh. Vychisl. Mat. Mat. Fiz., 15:5 (1975),  1317–1323

  30. Будущее прикладной математики. Лекции для молодых исследователей. Под ред. Малинецкого Г. Г.

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2006, no. 2,  87–88


© Steklov Math. Inst. of RAS, 2024