Leonov Gennadii Alekseevich

Publications in Math-Net.Ru

1. Pyragas stabilizability of unstable equilibria by nonstationary time-delayed feedback
   
   Avtomat. i Telemekh., 2018, no. 6,  87–98
2. Localization of hidden oscillations in flight control systems
   
   Tr. SPIIRAN, 49 (2016),  5–31
3. Tunisia 2011–2014. Bifurcation, revolution, and controlled stabilization
   
   Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2016, no. 4,  92–103
4. 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
5. Modern symbolic computation methods: Lyapunov quantities and 16th Hilbert problem
   
   Tr. SPIIRAN, 16 (2011),  5–36
6. A direct method for calculating Lyapunov values of two-dimensional dynamical systems
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  119–126
7. Analysis and synthesis of controlled delay lines
   
   Avtomat. i Telemekh., 2009, no. 10,  184–190
8. On the Aizerman problem
   
   Avtomat. i Telemekh., 2009, no. 7,  37–49
9. On the method of harmonic linearization
   
   Avtomat. i Telemekh., 2009, no. 5,  65–75
10. On the harmonic linearization method
    
    Dokl. Akad. Nauk, 424:4 (2009),  462–464
11. Mathematical models of phase syncronization systems with quadrature and phase-quadrature units
    
    Avtomat. i Telemekh., 2008, no. 9,  33–43
12. Dynamic principles of prediction and control
    
    Probl. Upr., 2008, no. 5,  31–35
13. Phase synchronization: Theory and applications
    
    Avtomat. i Telemekh., 2006, no. 10,  47–85
14. Generalization of the Andronov–Vitt theorem
    
    Regul. Chaotic Dyn., 11:2 (2006),  281–289
15. Necessary and sufficient conditions for the absolute stability of two-dimensional time-varying systems
    
    Avtomat. i Telemekh., 2005, no. 7,  43–53
16. Estimating the oscillation period of nonlinear discrete systems
    
    Avtomat. i Telemekh., 2005, no. 6,  147–152
17. An astatic phase-locked system for digital signal processors: circuit design and stability
    
    Avtomat. i Telemekh., 2005, no. 3,  11–19
18. A Modification of Perron's Counterexample
    
    Differ. Uravn., 39:11 (2003),  1566–1567
19. The Brockett Problem for Linear Discrete Control Systems
    
    Avtomat. i Telemekh., 2002, no. 5,  92–96
20. The Brockett problem in the stability theory for linear differential equations
    
    Algebra i Analiz, 13:4 (2001),  134–155
21. Lyapunov dimension formulas for Hénon and Lorentz attractors
    
    Algebra i Analiz, 13:3 (2001),  155–170
22. Circular Criteria for Linear Systems
    
    Avtomat. i Telemekh., 2001, no. 6,  41–46
23. The Brocket Stabilization Problem
    
    Avtomat. i Telemekh., 2001, no. 5,  190–193
24. Lyapunov functions in the estimation of dimensions of attractors of dynamical systems
    
    Zap. Nauchn. Sem. POMI, 266 (2000),  131–154
25. A frequency criterion for the existence of strange attractors of discrete systems
    
    Avtomat. i Telemekh., 1999, no. 5,  113–121
26. The direct Lyapunov method in estimates for the fractal dimension of attractors
    
    Differ. Uravn., 33:1 (1997),  68–74
27. The Frequency Theorem (Kalman–Yakubovich Lemma) in Control Theory
    
    Avtomat. i Telemekh., 1996, no. 10,  3–40
28. Criteria for strong orbital stability of trajectories of dynamical systems. II
    
    Differ. Uravn., 31:3 (1995),  440–445
29. Lyapunov's direct method in estimates of topological entropy
    
    Zap. Nauchn. Sem. POMI, 231 (1995),  62–75
30. Criteria for the orbital stability of trajectories of dynamical systems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 4,  88–94
31. Criteria for strong orbital stability of trajectories of dynamical systems. I
    
    Differ. Uravn., 28:9 (1992),  1507–1520
32. An estimate for the Hausdorff dimension of the attractors of dynamical systems
    
    Differ. Uravn., 27:5 (1991),  767–771
33. Instability in attractors that are close to two-dimensional surfaces
    
    Differ. Uravn., 27:3 (1991),  537–539
34. Dynamic stability of synchronous machines with strong control of excitation
    
    Avtomat. i Telemekh., 1990, no. 6,  57–67
35. Frequency estimates for the Hausdorff dimension of the attractors of nonlinear systems
    
    Differ. Uravn., 26:4 (1990),  555–563
36. Estimates for domains of attraction of stationary solutions of differential equations of systems of frequency synchronization. II
    
    Differ. Uravn., 26:3 (1990),  381–386
37. Estimates for domains of attraction of stationary solutions of differential equations of systems of frequency synchronization. I
    
    Differ. Uravn., 26:2 (1990),  205–213
38. Asymptotic behavior of the solutions of the Lorenz system
    
    Differ. Uravn., 25:12 (1989),  2103–2109
39. The Hausdorff dimension of attractors of the Lorenz system
    
    Differ. Uravn., 25:11 (1989),  1999–2000
40. A frequency criterion for instability in the large of nonlinear dynamical systems
    
    Differ. Uravn., 25:8 (1989),  1451–1453
41. A multidimensional analogue of a criterion for Poincaré orbital stability
    
    Differ. Uravn., 24:9 (1988),  1637–1639
42. An estimate for the bifurcation parameters of the saddle separatrix loop of the Lorenz system
    
    Differ. Uravn., 24:6 (1988),  972–977
43. Asymptotic behavior of the solutions of the Lorenz system
    
    Differ. Uravn., 24:5 (1988),  804–809
44. On orbital stability of trajectories of autonomous systems
    
    Differ. Uravn., 24:4 (1988),  694–695
45. Stability in the large of integro-differential equations of nondirect control systems
    
    Differ. Uravn., 24:3 (1988),  500–508
46. On estimates of the bifurcation values of the parameters of a Lorentz system
    
    Uspekhi Mat. Nauk, 43:3(261) (1988),  189–190
47. 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. A frequency criterion for the stability of systems of differential equations with hysteresis functions
    
    Differ. Uravn., 23:4 (1987),  718–719
49. A frequency criterion in stabilization of nonlinear systems by a harmonic exogenous signal
    
    Avtomat. i Telemekh., 1986, no. 1,  169–174
50. Dissipativity and global stability of the Lorenz system
    
    Differ. Uravn., 22:9 (1986),  1642–1644
51. Estimation of separatrices of the Lorenz system
    
    Differ. Uravn., 22:3 (1986),  411–415
52. Frequency bounds on the dissipative region of nonlinear control systems
    
    Dokl. Akad. Nauk SSSR, 283:4 (1985),  826–830
53. Global stability of differential equations of phase synchronization systems
    
    Differ. Uravn., 21:2 (1985),  213–223
54. On one hypothesis of A.A. Voronov
    
    Avtomat. i Telemekh., 1984, no. 5,  17–20
55. The nonlocal reduction method in the theory of absolute stability of nonlinear systems. II.
    
    Avtomat. i Telemekh., 1984, no. 3,  48–56
56. The nonlocal reduction method in the theory of absolute stability of nonlinear systems. I.
    
    Avtomat. i Telemekh., 1984, no. 2,  45–53
57. Existence of periodic solutions to a third-order nonlinear system
    
    Differ. Uravn., 20:12 (1984),  2036–2042
58. Frequency estimates of the number of cycle slidings in phase control systems
    
    Avtomat. i Telemekh., 1983, no. 5,  65–72
59. Instability and oscillations of systems with hysteresis
    
    Avtomat. i Telemekh., 1983, no. 1,  44–49
60. The limit cycles of the second kind in dynamical systems with cylindrical phase space
    
    Differ. Uravn., 18:10 (1982),  1819
61. The necessary frequency conditions of arsolute starility for nonstationary systems
    
    Avtomat. i Telemekh., 1981, no. 1,  15–19
62. Barbashin's problem in the theory of phase systems
    
    Differ. Uravn., 17:11 (1981),  1932–1944
63. On one extension of Popov's frequency criterion to nonstationary nonlinearities
    
    Avtomat. i Telemekh., 1980, no. 11,  21–26
64. A type of stability of phase systems
    
    Differ. Uravn., 16:5 (1980),  928–930
65. 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
66. The reduction method for integro-differential equations
    
    Sibirsk. Mat. Zh., 21:4 (1980),  112–124
67. A frequency criterion for stability of sampled-data system for control of the generator oscillation phase
    
    Avtomat. i Telemekh., 1978, no. 12,  64–69
68. Stability of a dynamical system with a cylindrical phase space
    
    Differ. Uravn., 14:8 (1978),  1502–1503
69. Asymptotic solutions of a system of integro-differential equations with periodic nonlinear functions
    
    Sibirsk. Mat. Zh., 19:6 (1978),  1406–1412
70. An analogue of the Bendixson criterion for a third order equation
    
    Differ. Uravn., 13:2 (1977),  367–368
71. The existence of nontrivial periodic solutions in self-induced oscillating systems
    
    Sibirsk. Mat. Zh., 18:2 (1977),  251–262
72. A generalization of the Brockett-Lee theorem
    
    Differ. Uravn., 12:11 (1976),  2095–2096
73. A certain class of dynamical systems with cylindrical phase space
    
    Sibirsk. Mat. Zh., 17:1 (1976),  91–112
74. Stability and oscillations of phase systems
    
    Sibirsk. Mat. Zh., 16:5 (1975),  1031–1052
75. The global stability of a certain dissipative system
    
    Differ. Uravn., 10:11 (1974),  2056
76. The boundedness of trajectories of phase systems
    
    Sibirsk. Mat. Zh., 15:3 (1974),  687–692
77. The stability of phase systems
    
    Sibirsk. Mat. Zh., 15:1 (1974),  49–60
78. Frequency conditions for the existence of nontrivial periodic solutions in autonomous systems
    
    Sibirsk. Mat. Zh., 14:6 (1973),  1259–1265
79. The instability in the large of nonlinear stationary systems
    
    Sibirsk. Mat. Zh., 14:1 (1973),  213–220
80. 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
81. The asymptotic behavior of the solutions of nonlinear systems of differential equations
    
    Differ. Uravn., 6:6 (1970),  1131–1132
82. A certain hypothesis in the theory of the stability of nonlinear systems
    
    Differ. Uravn., 5:4 (1969),  753–756


83. To the 85th anniversary of Rosenwasser E. N.
    
    Avtomat. i Telemekh., 2017, no. 10,  189–190
84. To the anniversary of Sergei Vladimirovich Vostokov
    
    Algebra i Analiz, 27:6 (2015),  3–5
85. V. F. Demianov
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2014, no. 2,  154–156
86. Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Analytical methods and symbolic computation
    
    Regul. Chaotic Dyn., 15:2-3 (2010),  354–377
87. Odinets Vladimir Petrovich (on his 65th birthday)
    
    Vladikavkaz. Mat. Zh., 12:4 (2010),  79–81
88. Vladimir Andreevich Yakubovich
    
    Avtomat. i Telemekh., 2006, no. 10,  4–19
89. Viktor Aleksandrovich Pliss (A tribute in honor of his seventieth birthday)
    
    Differ. Uravn., 38:2 (2002),  147–154
90. Vladimir Andreevich Yakubovich (on the occasion of his 75th birthday)
    
    Algebra i Analiz, 13:4 (2001),  254–256
91. Viktor Abramovich Zalgaller. To the 80th anniversary
    
    Zap. Nauchn. Sem. POMI, 280 (2001),  7–13
92. Vladimir Andreevich Yakubovich (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 51:6(312) (1996),  231–232
93. Anatolii Moiseevich Vershik (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 49:3(297) (1994),  195–204
94. Viktor Aleksandrovich Pliss (on the occasion of his sixtieth birthday)
    
    Differ. Uravn., 27:12 (1991),  2186–2189