D. S. Glyzin, S. D. Glyzin, A. Yu. Kolesov, “A new approach to mathematical modeling of chemical synapses”, Izvestiya VUZ. Applied Nonlinear Dynamics, 32:3 (2024), 376–393
2.
S. D. Glyzin, A. Yu. Kolesov, “Symmetric hyperbolic trap”, Mat. Zametki, 116:3 (2024), 372–387; Math. Notes, 116:3 (2024), 446–457
2023
3.
S. A. Kaschenko, D. S. Kosterin, S. D. Glyzin, “A family of piecewise-smooth solutions of a class of spatially distributed equations”, CMFD, 69:2 (2023), 263–275
4.
S. D. Glyzin, E. A. Marushkina, “Algorithms for asymptotic and numerical modeling of oscillatory modes in the simplest ring of generators with asymmetric nonlinearity”, Model. Anal. Inform. Sist., 30:2 (2023), 160–169
5.
S. D. Glyzin, A. Yu. Kolesov, “Динамические системы на бесконечномерном торе: основы гиперболической теории”, Tr. Mosk. Mat. Obs., 84:1 (2023), 55–116
6.
S. D. Glyzin, A. Yu. Kolesov, “Topologically Mixing Diffeomorphisms on the Infinite-Dimensional Torus”, Mat. Zametki, 113:6 (2023), 929–934; Math. Notes, 113:6 (2023), 859–863
7.
S. D. Glyzin, A. Yu. Kolesov, “Self-oscillatory processes in a discrete $RCL$-line with a tunnel diode”, TMF, 215:2 (2023), 207–224; Theoret. and Math. Phys., 215:2 (2023), 636–651
8.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Релаксационные автоволны в математических моделях экологии”, Tr. Semim. im. I. G. Petrovskogo, 33 (2023), 83–143
2022
9.
D. S. Glyzin, S. D. Glyzin, A. Yu. Kolesov, “Hunt for chimeras in fully coupled networks of nonlinear oscillators”, Izvestiya VUZ. Applied Nonlinear Dynamics, 30:2 (2022), 152–175
10.
S. D. Glyzin, A. Yu. Kolesov, “Hyperbolicity Criterion for Torus Endomorphisms”, Mat. Zametki, 111:1 (2022), 134–139; Math. Notes, 111:1 (2022), 147–151
S. D. Glyzin, A. Yu. Kolesov, “Elements of hyperbolic theory on an infinite-dimensional torus”, Uspekhi Mat. Nauk, 77:3(465) (2022), 3–72; Russian Math. Surveys, 77:3 (2022), 379–443
S. D. Glyzin, A. Yu. Kolesov, “A hyperbolicity criterion for a class of diffeomorphisms of an infinite-dimensional torus”, Mat. Sb., 213:2 (2022), 50–95; Sb. Math., 213:2 (2022), 173–215
S. D. Glyzin, A. Yu. Kolesov, “Periodic two-cluster synchronization modes in fully coupled
networks of nonlinear oscillators”, TMF, 212:2 (2022), 213–233; Theoret. and Math. Phys., 212:2 (2022), 1073–1091
S. D. Glyzin, A. Yu. Kolesov, “Traveling waves in fully coupled networks of linear oscillators”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022), 71–89; Comput. Math. Math. Phys., 62:1 (2022), 66–83
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On a mathematical model of the repressilator”, Algebra i Analiz, 33:5 (2021), 80–124; St. Petersburg Math. J., 33:5 (2022), 797–828
16.
S. D. Glyzin, A. Yu. Kolesov, “On some modifications of Arnold's cat map”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 26–30; Dokl. Math., 104:2 (2021), 242–246
17.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On a class of Anosov diffeomorphisms on the infinite-dimensional torus”, Izv. RAN. Ser. Mat., 85:2 (2021), 3–59; Izv. Math., 85:2 (2021), 177–227
S. D. Glyzin, A. Yu. Kolesov, “Periodic modes of group dominance in fully coupled neural networks”, Izvestiya VUZ. Applied Nonlinear Dynamics, 29:5 (2021), 775–798
19.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On the Existence and Stability of an Infinite-Dimensional Invariant Torus”, Mat. Zametki, 109:4 (2021), 508–528; Math. Notes, 109:4 (2021), 534–550
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Expansive Endomorphisms on the Infinite-Dimensional Torus”, Funktsional. Anal. i Prilozhen., 54:4 (2020), 17–36; Funct. Anal. Appl., 54:4 (2020), 241–256
S. D. Glyzin, S. A. Kaschenko, A. O. Tolbey, “Features of the algorithmic implementation of difference analogues of the logistic equation with delay”, Model. Anal. Inform. Sist., 27:3 (2020), 344–355
22.
S. D. Glyzin, S. A. Kashchenko, “Family of finite-dimensional maps induced by a logistic equation with a delay”, Matem. Mod., 32:3 (2020), 19–46; Math. Models Comput. Simul., 12:6 (2020), 856–873
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaxation autowaves in a bi-local neuron model”, Tr. Mosk. Mat. Obs., 81:1 (2020), 41–85; Trans. Moscow Math. Soc., 81:1 (2020), 33–70
24.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Solenoidal attractors of diffeomorphisms of annular sets”, Uspekhi Mat. Nauk, 75:2(452) (2020), 3–60; Russian Math. Surveys, 75:2 (2020), 197–252
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On Some Sufficient Hyperbolicity Conditions”, Trudy Mat. Inst. Steklova, 308 (2020), 116–134; Proc. Steklov Inst. Math., 308 (2020), 107–124
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Diffusion chaos and its invariant numerical characteristics”, TMF, 203:1 (2020), 10–25; Theoret. and Math. Phys., 203:1 (2020), 443–456
S. D. Glyzin, S. A. Kashchenko, A. O. Tolbey, “Equations with the Fermi-Pasta-Ulam and dislocations nonlinearity”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:4 (2019), 52–70
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “A self-symmetric cycle in a system of two diffusely connected Hutchinson's equations”, Mat. Sb., 210:2 (2019), 24–74; Sb. Math., 210:2 (2019), 184–233
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Autowave processes in diffusion neuron systems”, Zh. Vychisl. Mat. Mat. Fiz., 59:9 (2019), 1495–1515; Comput. Math. Math. Phys., 59:9 (2019), 1434–1453
2018
31.
S. D. Glyzin, E. A. Marushkina, “Disordered oscillations in a neural network of three oscillators with a delayed broadcast connection”, Model. Anal. Inform. Sist., 25:5 (2018), 572–583
S. D. Glyzin, M. V. Lokhanin, D. M. Sirotin, “Invariant characteristics of forced oscillations of a beam with longitudinal compression”, Model. Anal. Inform. Sist., 25:1 (2018), 54–62
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “An approach to modeling artificial gene networks”, TMF, 194:3 (2018), 547–568; Theoret. and Math. Phys., 194:3 (2018), 471–490
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Many-circuit canard trajectories and their applications”, Izv. RAN. Ser. Mat., 81:4 (2017), 108–157; Izv. Math., 81:4 (2017), 771–817
36.
S. D. Glyzin, “Mathematical model of Nicholson's experiment”, Model. Anal. Inform. Sist., 24:3 (2017), 365–386
S. D. Glyzin, A. Yu. Kolesov, E. A. Marushkina, “Relaxation oscillations in a system of two pulsed synaptically coupled neurons”, Model. Anal. Inform. Sist., 24:1 (2017), 82–93
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Existence and Stability of the Relaxation Cycle in a Mathematical Repressilator Model”, Mat. Zametki, 101:1 (2017), 58–76; Math. Notes, 101:1 (2017), 71–86
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The annulus principle in the existence problem for a hyperbolic strange attractor”, Mat. Sb., 207:4 (2016), 15–46; Sb. Math., 207:4 (2016), 490–518
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffering in cyclic gene networks”, TMF, 187:3 (2016), 560–579; Theoret. and Math. Phys., 187:3 (2016), 935–951
S. V. Aleshin, S. D. Glyzin, S. A. Kaschenko, “Dynamical properties of the Fisher–Kolmogorov–Petrovskii–Piscounov equation with deviation of the spatial variable”, Model. Anal. Inform. Sist., 22:5 (2015), 609–628
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Self-excited wave processes in chains of unidirectionally coupled impulse neurons”, Model. Anal. Inform. Sist., 22:3 (2015), 404–419
S. V. Aleshin, S. D. Glyzin, S. A. Kaschenko, “Fisher–Kolmogorov–Petrovskii–Piscounov equation with delay”, Model. Anal. Inform. Sist., 22:2 (2015), 304–321
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Blue sky catastrophe in systems with non-classical relaxation oscillations”, Model. Anal. Inform. Sist., 22:1 (2015), 38–64
47.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Self-excited relaxation oscillations in networks of impulse neurons”, Uspekhi Mat. Nauk, 70:3(423) (2015), 3–76; Russian Math. Surveys, 70:3 (2015), 383–452
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Blue sky catastrophe as applied to modeling of cardiac rhythms”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015), 1136–1155; Comput. Math. Math. Phys., 55:7 (2015), 1120–1137
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The buffer phenomenon in ring-like chains of unidirectionally connected generators”, Izv. RAN. Ser. Mat., 78:4 (2014), 73–108; Izv. Math., 78:4 (2014), 708–743
Yu. V. Bogomolov, S. D. Glyzin, A. Yu. Kolesov, “On the number of coexisting autowaves in the chain of coupled oscillators”, Model. Anal. Inform. Sist., 21:5 (2014), 162–180
51.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Non-Classical Relaxation Oscillations in Neurodynamics”, Model. Anal. Inform. Sist., 21:2 (2014), 71–89
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems”, Model. Anal. Inform. Sist., 21:1 (2014), 32–44
53.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The theory of nonclassical relaxation oscillations in singularly perturbed delay systems”, Mat. Sb., 205:6 (2014), 21–86; Sb. Math., 205:6 (2014), 781–842
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Autowave processes in continual chains of unidirectionally coupled oscillators”, Trudy Mat. Inst. Steklova, 285 (2014), 89–106; Proc. Steklov Inst. Math., 285 (2014), 81–98
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffering effect in continuous chains of unidirectionally coupled generators”, TMF, 181:2 (2014), 254–275; Theoret. and Math. Phys., 181:2 (2014), 1349–1366
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On a modification of the FitzHugh–Nagumo neuron model”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 430–449; Comput. Math. Math. Phys., 54:3 (2014), 443–461
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaxation self-oscillations in Hopfield networks with delay”, Izv. RAN. Ser. Mat., 77:2 (2013), 53–96; Izv. Math., 77:2 (2013), 271–312
A. S. Bobok, S. D. Glyzin, A. Yu. Kolesov, “The Quasi-Normal Form of a System of Three Unidirectionally Coupled Singularly Perturbed Equations with Two Delays”, Model. Anal. Inform. Sist., 20:5 (2013), 158–167
60.
N. D. Bykova, S. D. Glyzin, S. A. Kaschenko, “Parametric Resonance in the Logistic Equation with Delay under a Two-Frequency Perturbation”, Model. Anal. Inform. Sist., 20:3 (2013), 86–98
S. D. Glyzin, P. L. Shokin, “Diffusion Chaos in Reaction – Diffusion Boundary Problem in the Dumbbell Domain”, Model. Anal. Inform. Sist., 20:3 (2013), 43–57
62.
S. D. Glyzin, “Dimensional Characteristics of Diffusion Chaos”, Model. Anal. Inform. Sist., 20:1 (2013), 30–51
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Modeling the Bursting Effect in Neuron Systems”, Mat. Zametki, 93:5 (2013), 684–701; Math. Notes, 93:5 (2013), 676–690
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Periodic traveling-wave-type solutions in circular chains of unidirectionally coupled equations”, TMF, 175:1 (2013), 62–83; Theoret. and Math. Phys., 175:1 (2013), 499–517
A. S. Bobok, S. D. Glyzin, “Oscillations in Arrays of Nonlinear Elements in the Scott Experiment”, Model. Anal. Inform. Sist., 19:5 (2012), 56–68
66.
S. D. Glyzin, E. A. Marushkina, “Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis”, Model. Anal. Inform. Sist., 19:3 (2012), 82–96
67.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Discrete autowaves in neural systems”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012), 840–858; Comput. Math. Math. Phys., 52:5 (2012), 702–719
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaxation oscillations and diffusion chaos in the Belousov reaction”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011), 1400–1418; Comput. Math. Math. Phys., 51:8 (2011), 1307–1324
S. D. Glyzin, E. A. Soldatova, “The factor of delay in a system of coupled oscillators FitzHugh–Nagumo”, Model. Anal. Inform. Sist., 17:3 (2010), 134–143
S. D. Glyzin, S. A. Kashchenko, A. S. Polstyanov, “Spatially inhomogeneous periodic solutions in distributed Hutchinson equation”, Model. Anal. Inform. Sist., 16:4 (2009), 77–85
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The question of the realizability of the Landau scenario for the development of turbulence”, TMF, 158:2 (2009), 292–311; Theoret. and Math. Phys., 158:2 (2009), 246–261
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The Buffer Phenomenon in One-Dimensional Piecewise Linear Mapping in Radiophysics”, Mat. Zametki, 81:4 (2007), 507–514; Math. Notes, 81:4 (2007), 449–455
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Chaos phenomena in a circle of three unidirectionally connected oscillators”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1809–1821; Comput. Math. Math. Phys., 46:10 (2006), 1724–1736
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffer phenomenon in systems with one and a half degrees of freedom”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1582–1593; Comput. Math. Math. Phys., 46:9 (2006), 1503–1514
D. S. Glyzin, S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The Dynamic Renormalization Method for Finding the Maximum Lyapunov Exponent of a Chaotic Attractor”, Differ. Uravn., 41:2 (2005), 268–273; Differ. Equ., 41:2 (2005), 284–289
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Chaotic buffering property in chains of coupled oscillators”, Differ. Uravn., 41:1 (2005), 41–49; Differ. Equ., 41:1 (2005), 41–49
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The mechanism of hard excitation of self-oscillations in the case of the resonance 1:2”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 2000–2016; Comput. Math. Math. Phys., 45:11 (2005), 1923–1938
S. D. Glyzin, “Dynamic properties of the simplest finite-difference approximations of the “reaction-diffusion” boundary value problem”, Differ. Uravn., 33:6 (1997), 805–811; Differ. Equ., 33:6 (1997), 808–814
S. D. Glyzin, Yu. S. Kolesov, “The attractor of a bilocal model of the Hutchinson equation with
diffusion for a large coefficient of linear growth”, Dokl. Akad. Nauk SSSR, 307:2 (1989), 351–353; Dokl. Math., 34:7 (1989), 611–612
I. S. Kashchenko, S. D. Glyzin, “On the anniversary of Sergei A. Kashchenko”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:2 (2023), 125–127
2021
92.
O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, A. N. Bezdenezhnyh, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, S. I. Maksimenko, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. V. Turaev, N. G. Chebochko, E. E. Chilina, P. A. Shamanaev, D. D. Shubin, E. I. Yakovlev, “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021), 472–476
2018
93.
S. D. Glyzin, “From the editor of the special issue”, Model. Anal. Inform. Sist., 25:1 (2018), 5–6
2017
94.
V. F. Butuzov, S. D. Glyzin, N. N. Nefedov, “From the editors of the special issue”, Model. Anal. Inform. Sist., 24:3 (2017), 257
Systems of coupled singularly perturbed equations with delay S. D. Glyzin, A. Yu. Kolesov International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 8, 2022 15:15