A.Kh. Gelig and G.A. Leonov and V.A. Yakubovich, Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities, World Scientific, 2004
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
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
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
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
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
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., 272: suppl. 1 (2011), S119–S126
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
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
G. A. Leonov, “Phase synchronization: Theory and applications”, Avtomat. i Telemekh., 2006, no. 10, 47–85; Autom. Remote Control, 67:10 (2006), 1573–1609
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
I. M. Burkin, G. A. Leonov, “Existence of periodic solutions to a third-order nonlinear system”, Differ. Uravn., 20:12 (1984), 2036–2042
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
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
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
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
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
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
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
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
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
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
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
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
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
G. A. Leonov, “The asymptotic behavior of the solutions of nonlinear systems of differential equations”, Differ. Uravn., 6:6 (1970), 1131–1132
1969
82.
G. A. Leonov, “A certain hypothesis in the theory of the stability of nonlinear systems”, Differ. Uravn., 5:4 (1969), 753–756
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
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
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
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
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
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
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
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
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
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
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