Shu Zhang, Bo-Wei Qin, Kwok-wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis, “High-order Approximations of the Canard Explosion in a Delayed van der Pol System”, SIAM J. Appl. Dyn. Syst., 25:1 (2026), 279
Hidetaka Ito, Naohiko Inaba, “Analysis of the breakdown of complete synchronization in two identical capacitively coupled van der Pol oscillators each containing a diode”, Physics Letters A, 2026, 131458
Munehisa Sekikawa, Shoma Hayashi, Takuji Kousaka, Naohiko Inaba, “Analysis of High-Order Nested Mixed-Mode Oscillations in a Nonautonomous Bonhoeffer–van der Pol Oscillator”, Int. J. Bifurcation Chaos, 36:03 (2026)
Kun Zhu, JianHe Shen, Yi Zhang, “Extending Slow Manifolds to Nonhyperbolic Points in Planar Singularly Perturbed Systems When Linearly Slow Flow Has No Directions”, Stud Appl Math, 156:2 (2026)
Munehisa Sekikawa, Naohiko Inaba, “Numerical study of stable and unstable canards in a slow–fast hard-type van der Pol oscillator”, Physics Letters A, 538 (2025), 130347
Alena Kirsanova, Vladimir Sobolev, “Padé approximants of canards and critical regimes of Darrieus wind turbine model”, MINE, 7:3 (2025), 194
Naohiko Inaba, Munehisa Sekikawa, Hideaki Okazaki, “Analysis of nested repelling mixed-mode oscillations in a slow–fast hard-type van der Pol oscillator subject to weak periodic perturbations”, Physics Letters A, 557 (2025), 130861
Alena Kirsanova, 2025 18th International Conference on Management of Large-Scale System Development (MLSD), 2025, 1
Kaito Kato, Takuji Kousaka, Munehisa Sekikawa, Naohiko Inaba, “Analysis of triply and quadruply nested mixed-mode oscillation bifurcations”, Physics Letters A, 2025, 131194
Kaito Kato, Takuji Kousaka, Hideaki Okazaki, Naohiko Inaba, “Bifurcation mechanisms underlying the nested mixed-mode oscillations in a canard-generating driven Bonhoeffer–van der Pol oscillator”, Chaos, Solitons & Fractals, 180 (2024), 114483
Naohiko Inaba, Hideaki Okazaki, Hidetaka Ito, “Nested mixed-mode oscillations in the forced van der Pol oscillator”, Communications in Nonlinear Science and Numerical Simulation, 133 (2024), 107932
Hidetaka Ito, Naohiko Inaba, “Analysis of Successive Doubly Nested Mixed-Mode Oscillations”, Int. J. Bifurcation Chaos, 34:04 (2024)
Naziru M. Awal, Irving R. Epstein, Tasso J. Kaper, Theodore Vo, “Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities”, J Nonlinear Sci, 34:3 (2024)
Г. А. Чумаков, Н. А. Чумакова, “Дифференциальные уравнения с малым параметром и многопиковые автоколебания”, Сиб. журн. индустр. матем., 27:1 (2024), 87–107; G. A. Chumakov, N. A. Chumakova, “Differential equations with a small parameter and multipeak oscillations”, J. Appl. Industr. Math., 18:1 (2024), 18–35
Liyan Zhong, Jianhe Shen, “Large relaxation oscillation in slow–fast excitable Brusselator oscillator”, Nonlinear Analysis: Real World Applications, 79 (2024), 104138
Kundan Lal DAS, Munehisa SEKIKAWA, Tadashi TSUBONE, Naohiko INABA, Hideaki OKAZAKI, “Synchronization of Canards in Coupled Canard-Generating Bonhoeffer-Van Der Pol Oscillators Subject to Weak Periodic Perturbations”, IEICE Trans. Fundamentals, E107.A:8 (2024), 1098
O. S. Kipkaeva, E. A. Shchepakina, “Stability Change of Invariant Manifolds of Differential Systems
with Multiscale Variables”, Diff Equat, 60:9 (2024), 1123
Naohiko Inaba, Tadashi Tsubone, Hidetaka Ito, Hideaki Okazaki, Tetsuya Yoshinaga, “Nested mixed-mode oscillations, Part III: Comparison of bifurcation structures between a driven Bonhoeffer–van der Pol oscillator and Nagumo–Sato piecewise-linear discontinuous one-dimensional map”, Physica D: Nonlinear Phenomena, 446 (2023), 133667
Pranali Roy Chowdhury, Sergei Petrovskii, Vitaly Volpert, Malay Banerjee, “Attractors and long transients in a spatio-temporal slow–fast Bazykin's model”, Communications in Nonlinear Science and Numerical Simulation, 118 (2023), 107014
A. S. Demidov, Equations of Mathematical Physics, 2023, 1
Kundan Lal Das, Munehisa Sekikawa, Tadashi Tsubone, Naohiko Inaba, Hideaki Okazaki, “Experimental and numerical study of the synchronization of canards in identical coupled canard-generating Bonhoeffer-van der Pol oscillators”, Physics Letters A, 465 (2023), 128709
Г. А. Чумаков, Н. А. Чумакова, “О локализации
неустойчивого решения одной системы трёх нелинейных обыкновенных
дифференциальных уравнений с малым параметром”, Сиб. журн. индустр. матем., 25:4 (2022), 221–238; G. A. Chumakov, N. A. Chumakova, “Localization of an unstable solution
of a system of three nonlinear ordinary differential equations
with a small parameter”, J. Appl. Industr. Math., 16:4 (2022), 606–620
Kaito Kato, Naohiko Inaba, Kuniyasu Shimizu, Takuji Kousaka, Hideaki Okazaki, “Nested mixed-mode oscillations in a canard-generating driven Bonhoeffer–van der Pol oscillator”, Physica D: Nonlinear Phenomena, 440 (2022), 133438
Munehisa Sekikawa, Takuji Kousaka, Tadashi Tsubone, Naohiko Inaba, Hideaki Okazaki, “Bifurcation analysis of mixed-mode oscillations and Farey trees in an extended Bonhoeffer–van der Pol oscillator”, Physica D: Nonlinear Phenomena, 433 (2022), 133178
Naohiko Inaba, Takuji Kousaka, Tadashi Tsubone, Hideaki Okazaki, Hidetaka Ito, “Mixed-mode oscillations from a constrained extended Bonhoeffer–van der Pol oscillator with a diode”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 31:7 (2021)
Munehisa Sekikawa, Naohiko Inaba, “Bifurcation Structures of Nested Mixed-Mode Oscillations”, Int. J. Bifurcation Chaos, 31:08 (2021), 2150121
Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis, “Asymptotic expansions for a degenerate canard explosion”, Physica D: Nonlinear Phenomena, 418 (2021), 132841
М. Браверман, В. М. Бухштабер, М. Громов, В. Иврий, Ю. А. Кордюков, П. Кучмент, В. Мазья, С. П. Новиков, Т. Сунада, Л. Фридлендер, А. Г. Хованский, “Михаил Александрович Шубин (некролог)”, УМН, 75:6(456) (2020), 162–170; M. Braverman, V. M. Buchstaber, M. Gromov, V. Ivrii, Yu. A. Kordyukov, P. Kuchment, V. Maz'ya, S. P. Novikov, T. Sunada, L. Friedlander, A. G. Khovanskii, “Mikhail Aleksandrovich Shubin (obituary)”, Russian Math. Surveys, 75:6 (2020), 1143–1152
Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis, “Asymptotic expansions for a family of non-generic canards using parametric representation”, Applied Mathematics Letters, 106 (2020), 106355
Sergey Belikov, Ruslan Belikov, “Rapidly Oscillating Systems on the Plane: Weak Resonances and Asymptotic Control”, IFAC-PapersOnLine, 53:2 (2020), 5843
Antonio Algaba, Kwok-Wai Chung, Bo-Wei Qin, Alejandro J. Rodríguez-Luis, “Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method”, Physica D: Nonlinear Phenomena, 406 (2020), 132384
Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis, “High-Order Analysis of Canard Explosion in the Brusselator Equations”, Int. J. Bifurcation Chaos, 30:05 (2020), 2050078
Naohiko Inaba, Tadashi Tsubone, “Nested mixed-mode oscillations, part II: Experimental and numerical study of a classical Bonhoeffer–van der Pol oscillator”, Physica D: Nonlinear Phenomena, 406 (2020), 132493
Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis, “High-order study of the canard explosion in an aircraft ground dynamics model”, Nonlinear Dyn, 100:2 (2020), 1079
А. В. Москаленко, Р. К. Тетуев, С. А. Махортых, “К вопросу о современном состоянии теории колебаний”, Препринты ИПМ им. М. В. Келдыша, 2019, 044, 32 с.
А. В. Москаленко, Р. К. Тетуев, С. А. Махортых, “О состоянии исследований бифуркационных феноменов памяти и запаздывания”, Препринты ИПМ им. М. В. Келдыша, 2019, 109, 44 с.
M. Brøns, K. Uldall Kristiansen, “On the approximation of the canard explosion point in singularly perturbed systems without an explicit small parameter”, Dynamical Systems, 33:1 (2018), 136
Yuta Nagata, Naohiko Inaba, Munehisa Sekikawa, Tetsuro Endo, Ken'ichi Fujimoto, Tetsuya Yoshinaga, “Remarkable similarities of two pairs of stable and saddle canards in a van der Pol oscillator under extremely weak periodic perturbation”, Progress of Theoretical and Experimental Physics, 2018:1 (2018)
С. Д. Глызин, А. Ю. Колесов, Н. Х. Розов, “Многообходные траектории-утки и их приложения”, Изв. РАН. Сер. матем., 81:4 (2017), 108–157; S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Many-circuit canard trajectories and their applications”, Izv. Math., 81:4 (2017), 771–817
K. Vela Velupillai, Stefano Zambelli, “Simulation, computation and dynamics in economics”, Journal of Economic Methodology, 2015, 1
Christian Kuehn, Applied Mathematical Sciences, 191, Multiple Time Scale Dynamics, 2015, 619
Johan Grasman, Encyclopedia of Complexity and Systems Science, 2015, 1
Kiyoyuki Tchizawa, “On the Two Methods for Finding 4-Dimensional Duck Solutions”, AM, 05:01 (2014), 16
Robert E. O'Malley, Historical Developments in Singular Perturbations, 2014, 141
Elena Shchepakina, Olga Korotkova, “Canard explosion in chemical and optical systems”, DCDS-B, 18:2 (2012), 495
Johan Grasman, Mathematics of Complexity and Dynamical Systems, 2012, 1475
Elena Shchepakina, Olga Korotkova, “Condition for canard explosion in a semiconductor optical amplifier”, J. Opt. Soc. Am. B, 28:8 (2011), 1988
Naohiko Inaba, Tetsuro Endo, Tetsuya Yoshinaga, Ken'ichi Fujimoto, 2011 20th European Conference on Circuit Theory and Design (ECCTD), 2011, 369
Munehisa Sekikawa, Naohiko Inaba, Tetsuya Yoshinaga, Takashi Hikihara, “Period-doubling cascades of canards from the extended Bonhoeffer–van der Pol oscillator”, Physics Letters A, 374:36 (2010), 3745
Л. И. Кононенко, “Релаксационные колебания и решения–утки в сингулярных системах на плоскости”, Сиб. журн. индустр. матем., 12:2 (2009), 58–64; J. Appl. Industr. Math., 4:2 (2010), 194–199
Кононенко Л.И., “Релаксации в сингулярно возмущенных системах на плоскости”, Вестн. Новосибирского гос. ун-та. Сер.: Матем., мех., информ., 9:4 (2009), 45–50
Yongxin Jiang, Jianping Yang, “Complex dynamics in a food chain with slow and fast processes”, Chaos, Solitons & Fractals, 42:5 (2009), 3160
Л. И. Кононенко, “Релаксации в сингулярно возмущенных системах на плоскости”, Вестн. НГУ. Сер. матем., мех., информ., 9:4 (2009), 45–50
Johan Grasman, Encyclopedia of Complexity and Systems Science, 2009, 7602
Thomas Forget, “Solutions canards en des points tournants dégénérés”, Annales de la Faculté des sciences de Toulouse : Mathématiques, 16:4 (2008), 799
Bo Deng, Irakli Loladze, “Competitive coexistence in stoichiometric chaos”, Chaos, 17:3 (2007), 033108
В. Г. Кановей, В. А. Любецкий, “Проблемы теоретико-множественного нестандартного анализа”, УМН, 62:1(373) (2007), 51–122; V. G. Kanovei, V. A. Lyubetskii, “Problems in set-theoretic nonstandard analysis”, Russian Math. Surveys, 62:1 (2007), 45–111
Munehisa Sekikawa, Naohiko Inaba, Kazuyuki Aihara, “Coexisting two canards and their breakdown into chaos in the van der Pol oscillator under weak periodic perturbation”, Physics Letters A, 363:5-6 (2007), 404
Gavin C., Pokrovskii A., Prentice M., Sobolev V., “Dynamics of a Lotka-Volterra type model with applications to marine phage population dynamics”, J. Phys. Conf. Ser., 55:1 (2006), 80–93
Л. И. Кононенко, “Влияние формы интегрального многообразия на возникновение релаксационных колебаний”, Сиб. журн. индустр. матем., 9:2 (2006), 75–80; L. I. Kononenko, “The effect of the shape of an integral manifold on the occurrence of relaxation oscillations”, J. Appl. Industr. Math., 2:4 (2008), 508–512
EFSTRATIOS K. KOSMIDIS, K. PAKDAMAN, “STOCHASTIC CHAOS IN A NEURONAL MODEL”, Int. J. Bifurcation Chaos, 16:02 (2006), 395
Shchepakina E., “Canards and black swans in a model of a 3-D autocatalator”, J. Phys. Conf. Ser., 22:1 (2005), 194–207
Munehisa Sekikawa, Naohiko Inaba, Tetsuya Yoshinaga, Hiroshi Kawakami, “Collapse of duck solution in a circuit driven by an extremely small periodic force”, Electron Comm Jpn Pt III, 88:4 (2005), 51
Л. И. Кононенко, “Условия существования релаксационных колебаний в сингулярных системах небольших размерностей”, Сиб. журн. индустр. матем., 8:3 (2005), 87–92; L. I. Kononenko, “Conditions for existence of relaxation oscillations in singular systems of low dimension”, J. Appl. Industr. Math., 1:1 (2007), 45–49
Kiyoyuki Tchizawa, Hideo Miki, Hisakazu Nishino, “On the existence of a duck solution in Goodwin's nonlinear business cycle model”, Nonlinear Analysis: Theory, Methods & Applications, 63:5-7 (2005), e2553
Е. А. Лашина, Г. А. Чумаков, Н. А. Чумакова, “Максимальные семейства периодических решений кинетической модели гетерогенной каталитической реакции”, Вестн. НГУ. Сер. матем., мех., информ., 5:4 (2005), 42–59
X CHEN, P YU, M HAN, W ZHANG, “Canard solutions of two-dimensional singularly perturbed systems”, Chaos, Solitons & Fractals, 23:3 (2005), 915
Morten Brøns, “Relaxation oscillations and canards in a nonlinear model of discontinuous plastic deformation in metals at very low temperatures”, Proc. R. Soc. A., 461:2059 (2005), 2289
Л. И. Кононенко, “Релаксационные колебания в сингулярных системах с медленными и быстрыми переменными”, Сиб. журн. индустр. матем., 7:3 (2004), 102–110
M SEKIKAWA, N INABA, T TSUBOUCHI, “Chaos via duck solution breakdown in a piecewise linear van der Pol oscillator driven by an extremely small periodic perturbation”, Physica D: Nonlinear Phenomena, 194:3-4 (2004), 227
Л. И. Кононенко, “Инфинитезимальный анализ сингулярных систем с быстрыми и медленными переменными”, Сиб. журн. индустр. матем., 6:4 (2003), 51–59
Л. И. Кононенко, “Качественный анализ сингулярно возмущенных систем с одной или двумя медленными и быстрыми переменными”, Сиб. журн. индустр. матем., 5:4 (2002), 55–62
Е. А. Щепакина, “Условия безопасности воспламенения горючей жидкости в пористом изоляционном материале”, Сиб. журн. индустр. матем., 5:3 (2002), 162–169
Е. А. Щепакина, “Притягивающе-отталкивающие интегральные поверхности в задачах горения”, Матем. моделирование, 14:3 (2002), 30–42
H. В. Песков, “Численный анализ предельного цикла в одной химической модели”, Матем. моделирование, 14:3 (2002), 59–70
E.J. DOEDEL, E. FREIRE, E. GAMERO, A.J. RODRÍGUEZ-LUIS, “AN ANALYTICAL AND NUMERICAL STUDY OF A MODIFIED VAN DER POL OSCILLATOR”, Journal of Sound and Vibration, 256:4 (2002), 755
G.M. Huang, Liang Zhao, Xuefeng Song, 2, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309), 2002, 882
R. E. Beardmore, “The Singularity-Induced Bifurcation and its Kronecker Normal Form”, SIAM J Matrix Anal Appl, 23:1 (2001), 126
С. В. Богатырев, “Циклы-утки в системе Льенарда”, Вестн. Сам. гос. техн. ун-та. Сер. Физ.-мат. науки, 12, СамГТУ, Самара, 2001, 36–39
E. Shchepakina, V. Sobolev, “Integral manifolds, canards and black swans”, Nonlinear Analysis: Theory, Methods & Applications, 44:7 (2001), 897
A. G. Kusraev, S. S. Kutateladze, “Unsolved nonstandard problems”, Владикавк. матем. журн., 2:2 (2000), 26–45
R. E. Beardmore, “Double singularity-induced bifurcation points and singular Hopf bifurcations”, Dynamics and Stability of Systems, 15:4 (2000), 319
А. Ю. Колесов, Е. Ф. Мищенко, Н. Х. Розов, “Решение сингулярно возмущенных краевых задач методом “охоты на уток””, Алгебра. Топология. Дифференциальные уравнения и их приложения, Сборник статей. К 90-летию со дня рождения академика Льва Семеновича Понтрягина, Труды МИАН, 224, Наука, МАИК «Наука/Интерпериодика», М., 1999, 187–207; A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Solution to Singularly Perturbed Boundary Value Problems by the Duck Hunting Method”, Proc. Steklov Inst. Math., 224 (1999), 169–188
E Freire, “First-order approximation for canard periodic orbits in a van der Pol electronic oscillator”, Applied Mathematics Letters, 12:2 (1999), 73
Nobuhiko KAKIUCHI, Ryoukichi NISHIYAMA, “Nonstandard Analysis Effective in Analyzing Singular Phenomena in Infinitesimal Domains”, Journal of Japan Society for Fuzzy Theory and Systems, 11:1 (1999), 14
В. А. Молчанов, “Нестандартные сходимости в пространствах частичных отображений”, Изв. вузов. Матем., 1998, № 3, 28–33; V. A. Molchanov, “Nonstandard convergences in spaces of partial mappings”, Russian Math. (Iz. VUZ), 42:3 (1998), 25–30
O. De Feo, S. Rinaldi, “Singular homoclinic bifurcations in tritrophic food chains”, Mathematical Biosciences, 148:1 (1998), 7
Bruno Rossetto, Thierry Lenzini, Sofiane Ramdani, Gilles Suchey, “Slow-Fast Autonomous Dynamical Systems”, Int. J. Bifurcation Chaos, 08:11 (1998), 2135
V. Goldshtein, A. Zinoviev, “Thermal explosion in multiple phase media”, Nonlinear Analysis: Theory, Methods & Applications, 30:8 (1997), 4771
Nobuhiko Kakiuchi, Kiyoyuki Tchizawa, “On an Explicit Duck Solution and Delay in the Fitzhugh–Nagumo Equation”, Journal of Differential Equations, 141:2 (1997), 327
E. Benoit, Nonstandard Analysis, 1997, 153
“Criterion for thermal explosion with reactant consumption in a dusty gas”, Proc. R. Soc. Lond. A, 452:1952 (1996), 2103
Yuri A. Kuznetsov, Simona Muratori, Sergio Rinaldi, “Homoclinic bifurcations in slow-fast second order systems”, Nonlinear Analysis: Theory, Methods & Applications, 25:7 (1995), 747
V. Venkatasubramanian, H. Schattler, J. Zaborsky, “Dynamics of large constrained nonlinear systems-a taxonomy theory [power system stability]”, Proc. IEEE, 83:11 (1995), 1530
Jean-Pierre Guiraud, Lecture Notes in Physics, 442, Asymptotic Modelling in Fluid Mechanics, 1995, 255
Vaithianathan Venkatasubramanian, Heinz Schättler, John Zaborszky, The IMA Volumes in Mathematics and its Applications, 64, Systems and Control Theory For Power Systems, 1995, 381
V. Venkatasubramanian, “Singularity induced bifurcation and the van der Pol oscillator”, IEEE Trans. Circuits Syst. I, 41:11 (1994), 765
M. Itoh, H. Murakami, L.O. Chua, 6, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94, 1994, 89
V. Venkatasubramanian, H. Schattler, J. Zaborszky, Proceedings of 32nd IEEE Conference on Decision and Control, 1993, 3727
S. M. Baer, T. Erneux, “Singular Hopf Bifurcation to Relaxation Oscillations. II”, SIAM J Appl Math, 52:6 (1992), 1651
Simona Muratori, Sergio Rinaldi, “Low- and High-Frequency Oscillations in Three-Dimensional Food Chain Systems”, SIAM J Appl Math, 52:6 (1992), 1688
S. Rinaldi, S. Muratori, “Slow-fast limit cycles in predator-prey models”, Ecological Modelling, 61:3-4 (1992), 287
S. Rinaldi, S. Muratori, “Limit cycles in slow-fast forest-pest models”, Theoretical Population Biology, 41:1 (1992), 26
G.N. Gorelov, V.A. Sobolev, “Duck-trajectories in a thermal explosion problem”, Applied Mathematics Letters, 5:6 (1992), 3
I.P. Van den Berg, “Extended use of IST”, Annals of Pure and Applied Logic, 58:1 (1992), 73
M. Itoh, L.O. Chua, 6, [Proceedings] 1992 IEEE International Symposium on Circuits and Systems, 1992, 2789
Jean-Michel Salanskis, Lecture Notes in Physics, 402, 1830–1930: A Century of Geometry, 1992, 250
C. Lobry, Optimization, Optimal Control and Partial Differential Equations ISNM 107, 1992, 219
П. И. Дудников, С. Н. Самборский, “Эндоморфизмы полумодулей над полукольцами с идемпотентной операцией”, Изв. АН СССР. Сер. матем., 55:1 (1991), 93–109; P. I. Dudnikov, S. N. Samborskii, “Endomorphisms of semimodules over semirings with an idempotent operation”, Math. USSR-Izv., 38:1 (1992), 91–105
В. Г. Кановей, “Неразрешимые гипотезы в теории внутренних множеств Эдварда Нельсона”, УМН, 46:6(282) (1991), 3–50; V. G. Kanovei, “Undecidable hypotheses in Edward Nelson's internal set theory”, Russian Math. Surveys, 46:6 (1991), 1–54
G.N. Gorelov, V.A. Sobolev, “Mathematical modeling of critical phenomena in thermal explosion theory”, Combustion and Flame, 87:2 (1991), 203
M. Itoh, R. Tomiyasu, 1991 IEEE International Symposium on Circuits and Systems (ISCAS), 1991, 850
А. Ю. Колесов, Е. Ф. Мищенко, “Явление затягивания Л. С. Понтрягина и устойчивые циклы-утки многомерных релаксационных систем с одной медленной переменной”, Матем. сб., 181:5 (1990), 579–588; A. Yu. Kolesov, E. F. Mishchenko, “The Pontryagin delay phenomenon and stable ducktrajectories for multidimensional relaxation systems with one slow variable”, Math. USSR-Sb., 70:1 (1991), 1–10
Anne-Dominique Defontaines, Yves Pomeau, Bruno Rostand, “Chain of coupled bistable oscillators: A model”, Physica D: Nonlinear Phenomena, 46:2 (1990), 201
E.I. Verriest, 29th IEEE Conference on Decision and Control, 1990, 61
А. Ю. Колесов, “Траектории-утки релаксационных систем, связанные с нарушением условия нормального переключения”, Матем. сб., 180:10 (1989), 1428–1438; A. Yu. Kolesov, “Duck trajectories of relaxation systems connected with violation of the normal switching conditions”, Math. USSR-Sb., 68:1 (1991), 291–301
В. А. Любецкий, “Оценки и пучки. О некоторых вопросах нестандартного анализа”, УМН, 44:4(268) (1989), 99–153; V. A. Lyubetskii, “Valuations and sheaves. On some questions of non-standard analysis”, Russian Math. Surveys, 44:4 (1989), 37–112
А. Ю. Колесов, “О неустойчивости циклов-уток, возникающих при прохождении состояния равновесия многомерной релаксационной системы через многообразие срыва”, УМН, 44:5(269) (1989), 165–166; A. Yu. Kolesov, “On the instability of duck-cycles arising during the passage of an equilibrium of a multidimensional relaxation system through the disruption manifold”, Russian Math. Surveys, 44:5 (1989), 203–205
L.O. Chua, H. Oka, “Normal forms for constrained nonlinear differential equations. II. Bifurcation”, IEEE Trans. Circuits Syst., 36:1 (1989), 71
В. Г. Кановей, “О корректности эйлерова метода разложения синуса в бесконечное произведение”, УМН, 43:4(262) (1988), 57–81; V. G. Kanovei, “The correctness of Euler's method for the factorization of the sine function into an infinite product”, Russian Math. Surveys, 43:4 (1988), 65–94
Patricia Spinelli, Georges Solay Rakotonirainy, “Minimum time problem synthesis”, Systems & Control Letters, 10:4 (1988), 281
L.O. Chua, H. Oka, “Normal forms for constrained nonlinear differential equations. I. Theory”, IEEE Trans. Circuits Syst., 35:7 (1988), 881
Hiroe Oka, “Constrained systems, characteristic surfaces, and normal forms”, Japan J. Appl. Math, 4:3 (1987), 393
Sergio Albeverio, Information Complexity and Control in Quantum Physics, 1987, 183
; M. Braverman, V. M. Buchstaber, M. Gromov, V. Ivrii, Yu. A. Kordyukov, P. Kuchment, V. Maz'ya, S. P. Novikov, T. Sunada, L. Friedlander, A. G. Khovanskii, “Mikhail Aleksandrovich Shubin (obituary)”, Russian Math. Surveys, 75:6 (2020), 
