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Publications in Math-Net.Ru |
Citations |
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2018 |
1. |
G. A. Leonov, M. M. Shumafov, “Pyragas stabilizability of unstable equilibria by nonstationary time-delayed feedback”, Avtomat. i Telemekh., 2018, no. 6, 87–98 ; Autom. Remote Control, 79:6 (2018), 1029–1039 |
3
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2016 |
2. |
B. R. Andrievsky, N. Kuznetsov, O. A. Kuznetsova, G. A. Leonov, T. N. Mokaev, “Localization of hidden oscillations in flight control systems”, Tr. SPIIRAN, 49 (2016), 5–31 |
4
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3. |
G. A. Leonov, N. Kuznetsov, E. V. Kudryashova, “Tunisia 2011–2014. Bifurcation, revolution, and controlled stabilization”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2016, no. 4, 92–103 |
2
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2012 |
4. |
G. A. Leonov, N. V. Kuznetsov, “Hidden oscillations in dynamical systems. 16 Hilbert's problem, Aizerman's and Kalman's conjectures, hidden attractors in Chua's circuits”, CMFD, 45 (2012), 105–121 ; Journal of Mathematical Sciences, 201:5 (2014), 645–662 |
25
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2011 |
5. |
G. A. Leonov, N. V. Kuznetsov, E. V. Kudryashova, O. A. Kuznetsova, “Modern symbolic computation methods: Lyapunov quantities and 16th Hilbert problem”, Tr. SPIIRAN, 16 (2011), 5–36 |
2
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2010 |
6. |
G. A. Leonov, N. V. Kuznetsov, E. V. Kudryashova, “A direct method for calculating Lyapunov values of two-dimensional dynamical systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010), 119–126 ; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S119–S126 |
17
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2009 |
7. |
G. A. Leonov, “Analysis and synthesis of controlled delay lines”, Avtomat. i Telemekh., 2009, no. 10, 184–190 ; Autom. Remote Control, 70:10 (2009), 1760–1766 |
8. |
G. A. Leonov, “On the Aizerman problem”, Avtomat. i Telemekh., 2009, no. 7, 37–49 ; Autom. Remote Control, 70:7 (2009), 1120–1131 |
10
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9. |
G. A. Leonov, “On the method of harmonic linearization”, Avtomat. i Telemekh., 2009, no. 5, 65–75 ; Autom. Remote Control, 70:5 (2009), 800–810 |
13
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10. |
G. A. Leonov, “On the harmonic linearization method”, Dokl. Akad. Nauk, 424:4 (2009), 462–464 ; Dokl. Math., 79:1 (2009), 144–146 |
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2008 |
11. |
G. A. Leonov, “Mathematical models of phase syncronization systems with quadrature and phase-quadrature units”, Avtomat. i Telemekh., 2008, no. 9, 33–43 ; Autom. Remote Control, 69:9 (2008), 1475–1485 |
2
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12. |
G. A. Leonov, “Dynamic principles of prediction and control”, Probl. Upr., 2008, no. 5, 31–35 |
3
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2006 |
13. |
G. A. Leonov, “Phase synchronization: Theory and applications”, Avtomat. i Telemekh., 2006, no. 10, 47–85 ; Autom. Remote Control, 67:10 (2006), 1573–1609 |
75
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14. |
G. A. Leonov, “Generalization of the Andronov–Vitt theorem”, Regul. Chaotic Dyn., 11:2 (2006), 281–289 |
44
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2005 |
15. |
G. A. Leonov, “Necessary and sufficient conditions for the absolute stability of two-dimensional time-varying systems”, Avtomat. i Telemekh., 2005, no. 7, 43–53 ; Autom. Remote Control, 66:7 (2005), 1059–1068 |
8
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16. |
G. A. Leonov, “Estimating the oscillation period of nonlinear discrete systems”, Avtomat. i Telemekh., 2005, no. 6, 147–152 ; Autom. Remote Control, 66:6 (2005), 982–987 |
1
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17. |
G. A. Leonov, S. M. Seledzhi, “An astatic phase-locked system for digital signal processors: circuit design and stability”, Avtomat. i Telemekh., 2005, no. 3, 11–19 ; Autom. Remote Control, 66:3 (2005), 348–355 |
8
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2003 |
18. |
G. A. Leonov, “A Modification of Perron's Counterexample”, Differ. Uravn., 39:11 (2003), 1566–1567 ; Differ. Equ., 39:11 (2003), 1651–1652 |
3
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2002 |
19. |
G. A. Leonov, “The Brockett Problem for Linear Discrete Control Systems”, Avtomat. i Telemekh., 2002, no. 5, 92–96 ; Autom. Remote Control, 63:5 (2002), 777–781 |
17
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2001 |
20. |
G. A. Leonov, “The Brockett problem in the stability theory for linear differential equations”, Algebra i Analiz, 13:4 (2001), 134–155 ; St. Petersburg Math. J., 13:4 (2002), 613–628 |
19
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21. |
G. A. Leonov, “Lyapunov dimension formulas for Hénon and Lorentz attractors”, Algebra i Analiz, 13:3 (2001), 155–170 ; St. Petersburg Math. J., 13:3 (2002), 453–464 |
45
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22. |
G. A. Leonov, “Circular Criteria for Linear Systems”, Avtomat. i Telemekh., 2001, no. 6, 41–46 ; Autom. Remote Control, 62:6 (2001), 896–900 |
23. |
G. A. Leonov, “The Brocket Stabilization Problem”, Avtomat. i Telemekh., 2001, no. 5, 190–193 ; Autom. Remote Control, 62:5 (2001), 847–849 |
12
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2000 |
24. |
G. A. Leonov, “Lyapunov functions in the estimation of dimensions of attractors of dynamical systems”, Zap. Nauchn. Sem. POMI, 266 (2000), 131–154 ; J. Math. Sci. (N. Y.), 113:4 (2003), 614–628 |
1
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1999 |
25. |
G. A. Leonov, “A frequency criterion for the existence of strange attractors of discrete systems”, Avtomat. i Telemekh., 1999, no. 5, 113–121 ; Autom. Remote Control, 60:5 (1999), 697–703 |
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1997 |
26. |
G. A. Leonov, S. A. Lyashko, “The direct Lyapunov method in estimates for the fractal dimension of attractors”, Differ. Uravn., 33:1 (1997), 68–74 ; Differ. Equ., 33:1 (1997), 67–74 |
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1996 |
27. |
N. E. Barabanov, A. Kh. Gelig, G. A. Leonov, A. L. Likhtarnikov, A. S. Matveev, V. B. Smirnova, A. L. Fradkov, “The Frequency Theorem (Kalman–Yakubovich Lemma) in Control Theory”, Avtomat. i Telemekh., 1996, no. 10, 3–40 ; Autom. Remote Control, 57:10 (1996), 1377–1407 |
31
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1995 |
28. |
A. Yu. Kravchuk, G. A. Leonov, D. V. Ponomarenko, “Criteria for strong orbital stability of trajectories of dynamical systems. II”, Differ. Uravn., 31:3 (1995), 440–445 ; Differ. Equ., 31:3 (1995), 405–410 |
29. |
V. A. Boichenko, G. A. Leonov, “Lyapunov's direct method in estimates of topological entropy”, Zap. Nauchn. Sem. POMI, 231 (1995), 62–75 ; J. Math. Sci. (New York), 91:6 (1998), 3370–3379 |
23
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1993 |
30. |
G. A. Leonov, D. V. Ponomarenko, “Criteria for the orbital stability of trajectories of dynamical systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 4, 88–94 ; Russian Math. (Iz. VUZ), 37:4 (1993), 85–91 |
1
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1992 |
31. |
A. Yu. Kravchuk, G. A. Leonov, D. V. Ponomarenko, “Criteria for strong orbital stability of trajectories of dynamical systems. I”, Differ. Uravn., 28:9 (1992), 1507–1520 ; Differ. Equ., 28:9 (1992), 1230–1241 |
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1991 |
32. |
G. A. Leonov, “An estimate for the Hausdorff dimension of the attractors of dynamical systems”, Differ. Uravn., 27:5 (1991), 767–771 ; Differ. Equ., 27:5 (1991), 520–524 |
33. |
G. A. Leonov, “Instability in attractors that are close to two-dimensional surfaces”, Differ. Uravn., 27:3 (1991), 537–539 |
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1990 |
34. |
N. V. Kondrat'yeva, G. A. Leonov, “Dynamic stability of synchronous machines with strong control of excitation”, Avtomat. i Telemekh., 1990, no. 6, 57–67 ; Autom. Remote Control, 51:6 (1990), 768–778 |
35. |
V. A. Boichenko, G. A. Leonov, “Frequency estimates for the Hausdorff dimension of the attractors of nonlinear systems”, Differ. Uravn., 26:4 (1990), 555–563 ; Differ. Equ., 26:4 (1990), 399–406 |
36. |
I. M. Burkin, I. S. Dzesov, G. A. Leonov, “Estimates for domains of attraction of stationary solutions of differential equations of systems of frequency synchronization. II”, Differ. Uravn., 26:3 (1990), 381–386 ; Differ. Equ., 26:3 (1990), 276–279 |
37. |
I. M. Burkin, I. S. Dzesov, G. A. Leonov, “Estimates for domains of attraction of stationary solutions of differential equations of systems of frequency synchronization. I”, Differ. Uravn., 26:2 (1990), 205–213 ; Differ. Equ., 26:2 (1990), 152–159 |
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1989 |
38. |
G. A. Leonov, “Asymptotic behavior of the solutions of the Lorenz system”, Differ. Uravn., 25:12 (1989), 2103–2109 ; Differ. Equ., 25:12 (1989), 1492–1497 |
39. |
V. A. Boichenko, G. A. Leonov, “The Hausdorff dimension of attractors of the Lorenz system”, Differ. Uravn., 25:11 (1989), 1999–2000 |
40. |
M. I. Lapachugina, G. A. Leonov, “A frequency criterion for instability in the large of nonlinear dynamical systems”, Differ. Uravn., 25:8 (1989), 1451–1453 |
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1988 |
41. |
G. A. Leonov, “A multidimensional analogue of a criterion for Poincaré orbital stability”, Differ. Uravn., 24:9 (1988), 1637–1639 |
42. |
G. A. Leonov, “An estimate for the bifurcation parameters of the saddle separatrix loop of the Lorenz system”, Differ. Uravn., 24:6 (1988), 972–977 ; Differ. Equ., 24:6 (1988), 634–638 |
43. |
G. A. Leonov, “Asymptotic behavior of the solutions of the Lorenz system”, Differ. Uravn., 24:5 (1988), 804–809 ; Differ. Equ., 24:5 (1988), 527–531 |
44. |
G. A. Leonov, “On orbital stability of trajectories of autonomous systems”, Differ. Uravn., 24:4 (1988), 694–695 |
45. |
G. A. Leonov, V. B. Smirnova, “Stability in the large of integro-differential equations of nondirect control systems”, Differ. Uravn., 24:3 (1988), 500–508 ; Differ. Equ., 24:3 (1988), 359–366 |
46. |
G. A. Leonov, “On estimates of the bifurcation values of the parameters of a Lorentz system”, Uspekhi Mat. Nauk, 43:3(261) (1988), 189–190 ; Russian Math. Surveys, 43:3 (1988), 216–217 |
12
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1987 |
47. |
G. A. Leonov, “A frequency criterion for the existence of limit cycles of dynamical systems with a cylindrical phase space”, Differ. Uravn., 23:12 (1987), 2047–2051 |
48. |
G. A. Leonov, V. A. Teshev, “A frequency criterion for the stability of systems of differential equations with hysteresis functions”, Differ. Uravn., 23:4 (1987), 718–719 |
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1986 |
49. |
G. A. Leonov, “A frequency criterion in stabilization of nonlinear systems by a harmonic exogenous signal”, Avtomat. i Telemekh., 1986, no. 1, 169–174 |
4
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50. |
G. A. Leonov, “Dissipativity and global stability of the Lorenz system”, Differ. Uravn., 22:9 (1986), 1642–1644 |
51. |
G. A. Leonov, “Estimation of separatrices of the Lorenz system”, Differ. Uravn., 22:3 (1986), 411–415 |
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1985 |
52. |
G. A. Leonov, Al. A. Pervozvanskii, “Frequency bounds on the dissipative region of nonlinear control systems”, Dokl. Akad. Nauk SSSR, 283:4 (1985), 826–830 |
53. |
G. A. Leonov, “Global stability of differential equations of phase synchronization systems”, Differ. Uravn., 21:2 (1985), 213–223 |
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1984 |
54. |
G. A. Leonov, “On one hypothesis of A.A. Voronov”, Avtomat. i Telemekh., 1984, no. 5, 17–20 ; Autom. Remote Control, 45:5 (1984), 559–562 |
1
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55. |
G. A. Leonov, “The nonlocal reduction method in the theory of absolute stability of nonlinear systems. II.”, Avtomat. i Telemekh., 1984, no. 3, 48–56 ; Autom. Remote Control, 45:3 (1984), 315–323 |
5
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56. |
G. A. Leonov, “The nonlocal reduction method in the theory of absolute stability of nonlinear systems. I.”, Avtomat. i Telemekh., 1984, no. 2, 45–53 ; Autom. Remote Control, 45:2 (1984), 178–187 |
3
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57. |
I. M. Burkin, G. A. Leonov, “Existence of periodic solutions to a third-order nonlinear system”, Differ. Uravn., 20:12 (1984), 2036–2042 |
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1983 |
58. |
O. B. Ershova, G. A. Leonov, “Frequency estimates of the number of cycle slidings in phase control systems”, Avtomat. i Telemekh., 1983, no. 5, 65–72 ; Autom. Remote Control, 44:5 (1983), 600–607 |
10
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59. |
G. A. Leonov, M. Yu. Filina, “Instability and oscillations of systems with hysteresis”, Avtomat. i Telemekh., 1983, no. 1, 44–49 ; Autom. Remote Control, 44:1 (1983), 33–38 |
2
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1982 |
60. |
L. I. Burkina, G. A. Leonov, “The limit cycles of the second kind in dynamical systems with cylindrical phase space”, Differ. Uravn., 18:10 (1982), 1819 |
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1981 |
61. |
G. A. Leonov, “The necessary frequency conditions of arsolute starility for nonstationary systems”, Avtomat. i Telemekh., 1981, no. 1, 15–19 ; Autom. Remote Control, 42:1 (1981), 9–13 |
3
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62. |
I. M. Burkin, L. I. Burkina, G. A. Leonov, “Barbashin's problem in the theory of phase systems”, Differ. Uravn., 17:11 (1981), 1932–1944 |
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1980 |
63. |
G. A. Leonov, “On one extension of Popov's frequency criterion to nonstationary nonlinearities”, Avtomat. i Telemekh., 1980, no. 11, 21–26 ; Autom. Remote Control, 41:11 (1981), 1494–1499 |
2
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64. |
S. M. Abramovich, G. A. Leonov, “A type of stability of phase systems”, Differ. Uravn., 16:5 (1980), 928–930 |
65. |
L. I. Burkina, G. A. Leonov, “Frequency conditions for the existence of circular motions and second-order limit cycles in phase systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 2, 15–21 ; Soviet Math. (Iz. VUZ), 24:2 (1980), 14–20 |
66. |
G. A. Leonov, V. B. Smirnova, “The reduction method for integro-differential equations”, Sibirsk. Mat. Zh., 21:4 (1980), 112–124 ; Siberian Math. J., 21:4 (1980), 565–575 |
2
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1978 |
67. |
Yu. A. Koryakin, G. A. Leonov, A. R. Liss, “A frequency criterion for stability of sampled-data system for control of the generator oscillation phase”, Avtomat. i Telemekh., 1978, no. 12, 64–69 ; Autom. Remote Control, 39:12 (1979), 1787–1792 |
68. |
Z. U. Blyagoz, G. A. Leonov, “Stability of a dynamical system with a cylindrical phase space”, Differ. Uravn., 14:8 (1978), 1502–1503 |
69. |
G. A. Leonov, V. B. Smirnova, “Asymptotic solutions of a system of integro-differential equations with periodic nonlinear functions”, Sibirsk. Mat. Zh., 19:6 (1978), 1406–1412 ; Siberian Math. J., 19:6 (1978), 992–997 |
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1977 |
70. |
G. A. Leonov, “An analogue of the Bendixson criterion for a third order equation”, Differ. Uravn., 13:2 (1977), 367–368 |
71. |
I. M. Burkin, G. A. Leonov, “The existence of nontrivial periodic solutions in self-induced oscillating systems”, Sibirsk. Mat. Zh., 18:2 (1977), 251–262 ; Siberian Math. J., 18:2 (1977), 179–187 |
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1976 |
72. |
I. V. Ioffe, G. A. Leonov, “A generalization of the Brockett-Lee theorem”, Differ. Uravn., 12:11 (1976), 2095–2096 |
73. |
G. A. Leonov, “A certain class of dynamical systems with cylindrical phase space”, Sibirsk. Mat. Zh., 17:1 (1976), 91–112 ; Siberian Math. J., 17:1 (1976), 72–90 |
8
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1975 |
74. |
G. A. Leonov, “Stability and oscillations of phase systems”, Sibirsk. Mat. Zh., 16:5 (1975), 1031–1052 ; Siberian Math. J., 16:5 (1975), 788–805 |
5
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1974 |
75. |
S. M. Abramovich, G. A. Leonov, “The global stability of a certain dissipative system”, Differ. Uravn., 10:11 (1974), 2056 |
76. |
G. A. Leonov, “The boundedness of trajectories of phase systems”, Sibirsk. Mat. Zh., 15:3 (1974), 687–692 ; Siberian Math. J., 15:3 (1974), 491–495 |
18
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77. |
G. A. Leonov, “The stability of phase systems”, Sibirsk. Mat. Zh., 15:1 (1974), 49–60 ; Siberian Math. J., 15:1 (1974), 34–42 |
6
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1973 |
78. |
G. A. Leonov, “Frequency conditions for the existence of nontrivial periodic solutions in autonomous systems”, Sibirsk. Mat. Zh., 14:6 (1973), 1259–1265 ; Siberian Math. J., 14:6 (1973), 884–889 |
2
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79. |
I. V. Ioffe, G. A. Leonov, “The instability in the large of nonlinear stationary systems”, Sibirsk. Mat. Zh., 14:1 (1973), 213–220 ; Siberian Math. J., 14:1 (1973), 153–157 |
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1970 |
80. |
G. A. Leonov, “The necessity of a frequency condition for the absolute stability of stationary systems in the critical case of a pair of pure imaginary roots”, Dokl. Akad. Nauk SSSR, 193:4 (1970), 756–759 |
3
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81. |
G. A. Leonov, “The asymptotic behavior of the solutions of nonlinear systems of differential equations”, Differ. Uravn., 6:6 (1970), 1131–1132 |
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1969 |
82. |
G. A. Leonov, “A certain hypothesis in the theory of the stability of nonlinear systems”, Differ. Uravn., 5:4 (1969), 753–756 |
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2017 |
83. |
V. G. Peshekhonov, G. A. Leonov, R. M. Yusupov, “To the 85th anniversary of Rosenwasser E. N.”, Avtomat. i Telemekh., 2017, no. 10, 189–190 |
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2015 |
84. |
D. G. Benua, M. V. Bondarko, N. A. Vavilov, M. A. Vsemirnov, A. I. Generalov, N. L. Gordeev, I. B. Zhukov, G. A. Leonov, B. B. Lur'e, I. A. Panin, A. L. Smirnov, I. B. Fesenko, A. V. Yakovlev, “To the anniversary of Sergei Vladimirovich Vostokov”, Algebra i Analiz, 27:6 (2015), 3–5 ; St. Petersburg Math. J., 27:6 (2016), 861–862 |
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2014 |
85. |
V. N. Igolkin, V. V. Karelin, S. K. Myshkov, L. N. Polyakova, G. Sh. Tamasyan, L. A. Petrosyan, E. I. Veremey, Yu. M. Dahl, O. I. Drivotin, V. Yu. Dobrynin, N. V. Egorov, A. P. Zhabko, A. M. Kamachkin, G. A. Leonov, V. S. Novoselov, D. A. Ovsyannikov, A. N. Terekhov, S. V. Chistyakov, V. L. Kharitonov, V. M. Bure, A. Yu. Aleksandrov, S. N. Andrianov, A. O. Bochkarev, V. V. Evstafieva, V. S. Ermolin, V. V. Zakharov, I. V. Olemskoy, Yu. G. Pronina, S. L. Sergeev, A. Yu. Uteshev, O. N. Chizhova, “V. F. Demianov”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2014, no. 2, 154–156 |
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2010 |
86. |
G. A. Leonov, O. A. Kuznetsova, “Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Analytical methods and symbolic computation”, Regul. Chaotic Dyn., 15:2-3 (2010), 354–377 |
5
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87. |
A. M. Vershik, O. Ya. Viro, V. N. Isakov, G. A. Leonov, M. J. Pratussevitch, V. P. Havin, N. A. Shirokov, “Odinets Vladimir Petrovich (on his 65th birthday)”, Vladikavkaz. Mat. Zh., 12:4 (2010), 79–81 |
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2006 |
88. |
A. Kh. Gelig, G. A. Leonov, A. L. Fradkov, “Vladimir Andreevich Yakubovich”, Avtomat. i Telemekh., 2006, no. 10, 4–19 ; Autom. Remote Control, 67:10 (2006), 1530–1546 |
4
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2002 |
89. |
Yu. N. Bibikov, N. A. Izobov, V. A. Il'in, V. A. Kondratiev, N. N. Krasovskii, L. D. Kudryavtsev, G. A. Leonov, V. M. Millionshchikov, Yu. S. Osipov, S. Yu. Pilyugin, N. Kh. Rozov, “Viktor Aleksandrovich Pliss (A tribute in honor of his seventieth birthday)”, Differ. Uravn., 38:2 (2002), 147–154 ; Differ. Equ., 38:2 (2002), 155–163 |
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2001 |
90. |
A. M. Vershik, V. I. Derguzov, I. A. Ibragimov, O. A. Ladyzhenskaya, G. A. Leonov, “Vladimir Andreevich Yakubovich (on the occasion of his 75th birthday)”, Algebra i Analiz, 13:4 (2001), 254–256 ; St. Petersburg Math. J., 13:4 (2002), 703–704 |
91. |
Yu. D. Burago, A. M. Vershik, I. A. Ibragimov, G. A. Leonov, N. Yu. Netsvetaev, A. V. Pogorelov, Yu. G. Reshetnyak, “Viktor Abramovich Zalgaller. To the 80th anniversary”, Zap. Nauchn. Sem. POMI, 280 (2001), 7–13 ; J. Math. Sci. (N. Y.), 119:2 (2004), 129–132 |
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1996 |
92. |
A. M. Vershik, O. A. Ladyzhenskaya, G. A. Leonov, V. N. Fomin, “Vladimir Andreevich Yakubovich (on his seventieth birthday)”, Uspekhi Mat. Nauk, 51:6(312) (1996), 231–232 ; Russian Math. Surveys, 51:6 (1996), 1237–1239 |
1
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1994 |
93. |
V. I. Arnol'd, M. Sh. Birman, I. M. Gel'fand, I. A. Ibragimov, S. V. Kerov, A. A. Kirillov, O. A. Ladyzhenskaya, G. A. Leonov, A. A. Lodkin, S. P. Novikov, Ya. G. Sinai, M. Z. Solomyak, L. D. Faddeev, “Anatolii Moiseevich Vershik (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 49:3(297) (1994), 195–204 ; Russian Math. Surveys, 49:3 (1994), 207–221 |
3
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1991 |
94. |
N. N. Krasovskii, L. D. Kudryavtsev, G. A. Leonov, Yu. S. Osipov, S. Yu. Pilyugin, “Viktor Aleksandrovich Pliss (on the occasion of his sixtieth birthday)”, Differ. Uravn., 27:12 (1991), 2186–2189 |
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