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Publications in Math-Net.Ru |
Citations |
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2020 |
1. |
N. M. Evstigneev, N. A. Magnitskii, “Numerical analysis of laminar–turbulent transition by methods of chaotic dynamics”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 38–43 ; Dokl. Math., 101:2 (2020), 110–114 |
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2009 |
2. |
N. A. Magnitskii, “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. |
I. O. Grebenkin, N. A. Magnitskii, A. Yu. Chernyavskiy, “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 |
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2006 |
4. |
N. A. Magnitskii, S. V. Sidorov, “Dynamical chaos in two-dimensional nonlinear nonautonomous systems of ordinary differential equations”, Differ. Uravn., 42:11 (2006), 1507–1514 ; Differ. Equ., 42:11 (2006), 1579–1586 |
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2005 |
5. |
A. V. Dernov, N. A. Magnitskii, “Transition to Chaos in a Nonclassical Reaction-Diffusion System”, Differ. Uravn., 41:12 (2005), 1675–1679 ; Differ. Equ., 41:12 (2005), 1751–1756 |
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6. |
N. A. Magnitskii, S. V. Sidorov, “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 ; Differ. Equ., 41:11 (2005), 1626–1634 |
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2004 |
7. |
N. A. Magnitskii, S. V. Sidorov, “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 ; Differ. Equ., 40:11 (2004), 1579–1593 |
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2003 |
8. |
N. A. Magnitskii, S. V. Sidorov, “Finding Homoclinic and Heteroclinic Contours of Singular Points of Nonlinear Systems of Ordinary Differential Equations”, Differ. Uravn., 39:11 (2003), 1511–1520 ; Differ. Equ., 39:11 (2003), 1593–1602 |
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2002 |
9. |
N. A. Magnitskii, S. V. Sidorov, “Transition to Chaos in Nonlinear Dynamical Systems Through a Subharmonic Cascade of Bifurcations of Two-Dimensional Tori”, Differ. Uravn., 38:12 (2002), 1606–1610 ; Differ. Equ., 38:12 (2002), 1703–1708 |
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2001 |
10. |
N. A. Magnitskii, S. V. Sidorov, “A New View of the Lorenz Attractor”, Differ. Uravn., 37:11 (2001), 1494–1506 ; Differ. Equ., 37:11 (2001), 1568–1579 |
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2000 |
11. |
N. A. Magnitskii, S. V. Sidorov, “Stabilization of unstable periodic solutions of delay equations”, Differ. Uravn., 36:11 (2000), 1488–1492 ; Differ. Equ., 36:11 (2000), 1634–1638 |
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1999 |
12. |
N. A. Magnitskii, S. V. Sidorov, “Some approaches to the problem of the control of diffusion chaos”, Differ. Uravn., 35:5 (1999), 664–669 ; Differ. Equ., 35:5 (1999), 669–674 |
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1998 |
13. |
N. A. Magnitskii, S. V. Sidorov, “Control of chaos in nonlinear dynamical systems”, Differ. Uravn., 34:11 (1998), 1501–1509 ; Differ. Equ., 34:11 (1998), 1501–1509 |
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1997 |
14. |
N. A. Magnitskii, “On the stabilization of fixed points of chaotic dynamical systems”, Dokl. Akad. Nauk, 352:5 (1997), 610–612 |
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1996 |
15. |
N. A. Magnitskii, “On the stabilization of fixed points of chaotic mappings”, Dokl. Akad. Nauk, 351:2 (1996), 175–177 |
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1995 |
16. |
N. A. Magnitskii, “Hopf bifurcation in the Rössler system”, Differ. Uravn., 31:3 (1995), 538–541 ; Differ. Equ., 31:3 (1995), 503–506 |
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1994 |
17. |
N. A. Magnitskii, “Pattern recognition by distributed dynamical systems”, Dokl. Akad. Nauk, 338:3 (1994), 320–321 ; Dokl. Math., 39:9 (1994), 623–624 |
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1991 |
18. |
N. A. Magnitskii, “Series expansion of the Radon transform of functions of several
variables in a ball”, Dokl. Akad. Nauk SSSR, 321:3 (1991), 496–498 ; Dokl. Math., 36:11 (1991), 745–746 |
19. |
N. A. Magnitskii, “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 ; Dokl. Math., 36:11 (1991), 738–739 |
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1989 |
20. |
N. A. Magnitskii, “On stability of closed-loop nonstationary processes”, Avtomat. i Telemekh., 1989, no. 10, 187–188 |
21. |
N. A. Magnitskii, “The method of characteristic functions in stability theory”, Dokl. Akad. Nauk SSSR, 306:4 (1989), 799–802 ; Dokl. Math., 34:6 (1989), 486–487 |
22. |
N. A. Magnitskii, “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 ; Dokl. Math., 34:1 (1989), 12–13 |
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1984 |
23. |
N. A. Magnitskii, “Stokes multipliers and asymptotic expansions of solutions of ordinary differential equations with an irregular singular point”, Differ. Uravn., 20:11 (1984), 1877–1888 |
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1983 |
24. |
N. A. Magnitskii, “Asymptotics of solutions of a Volterra integral equation of the first kind”, Dokl. Akad. Nauk SSSR, 269:1 (1983), 29–32 |
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1979 |
25. |
N. A. Magnitskii, “Volterra linear integral equations of the first and third kinds”, Zh. Vychisl. Mat. Mat. Fiz., 19:4 (1979), 970–988 ; U.S.S.R. Comput. Math. Math. Phys., 19:4 (1979), 182–200 |
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26. |
N. A. Magnitskii, “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 ; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 231–233 |
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1978 |
27. |
N. A. Magnitskii, “Multiparameter families of solutions of Volterra integral equations”, Dokl. Akad. Nauk SSSR, 240:2 (1978), 268–271 |
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1977 |
28. |
N. A. Magnitskii, “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 |
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1975 |
29. |
N. A. Magnitskii, “A certain method for the regularization of Volterra equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 15:5 (1975), 1317–1323 ; U.S.S.R. Comput. Math. Math. Phys., 15:5 (1975), 221–228 |
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2006 |
30. |
N. A. Magnitskii, “Будущее прикладной математики. Лекции для молодых исследователей. Под ред. Малинецкого Г. Г.”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2006, no. 2, 87–88 |
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