Persons: Davydov, Alexey Alexandrovich

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Davydov, Alexey Alexandrovich

Total publications:	75 (68)
in MathSciNet:	50 (46)
in zbMATH:	39 (36)
in Web of Science:	29 (25)
in Scopus:	34 (32)
Cited articles:	47
Citations:	400
Presentations:	21

Number of views:
This page:	12748
Abstract pages:	26703
Full texts:	8109
References:	2572

Professor

Doctor of physico-mathematical sciences (1993)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

Birth date:

20.09.1956

E-mail:

Keywords:

singularity, normal form, structural stability, parametric optimization.

UDC:

512.737, 517.9, 517.91, 517.977.1, 515.1, 517.958, 517.977, 519.63, 517.938

MSC:

49J15, 49J45, 49N20, 49N60, 58K25, 58K40, 90C31

Subject:

Singularity theory, differential equation, mathematical control theory.

Biography

Alexey Davydov joined IIASA in January 2005 as Principal Investigator within the Dynamic Systems Program.
Prof. Davydov received his master's degree in mathematics in 1979, his candidate degree (Ph.D.) in physics and mathematics in 1983, both from Moscow State University, and his doctorate in physics and mathematics from the Steklov Institute of Mathematics in 1993 with his dissertation on implicit differential equations and qualitative theory of control systems. His scientific interests include ordinary differential equations, dynamic systems with control, singularity theory, and parametric optimization. He has authored more than forty scientific papers and the monograph "Qualitative Theory of Control Systems," MIR - AMS, 1994. Since 1982 he has worked at the Vladimir State University as an Assistant Professor (1982–1984), Associate Professor (1984–1990), and Full Professor (1993–present). From 1990 to 1993 he occupied a research position at the Steklov Institute of Mathematics.
Prof. Davydov received the Moscow Mathematical Society Award (1986) and the International Academic Publishing Company Prize (2002). He was visiting professor and research fellow at the Universidad Nacional Autonoma de Mexico, RTWH-Aachen, Universidade do Porto, Paris VII, and Hokkaido University, and has participated in several international scientific projects.

Main publications:

Davydov A.A., “Normalnaya forma differentsialnogo uravneniya, ne razreshennogo otnositelno proizvodnoi v okrestnosti ego osoboi tochki”, Funkts. analiz i ego prilozheniya, 19:2 (1985), 1–10
Davydov A.A., “Osobennosti polei predelnykh napravlenii dvumernykh upravlyaemykh sistem”, Matem. sb., 136(178):4 (1988), 478–499
Davydov A.A., “Strukturnaya ustoichivost upravlyaemykh sistem na orientiruemykh poverkhnostyakh”, Matem. sb., 182:1 (1991), 3–35
Davydov A.A., Rosales-Gonsales E., “Polnaya klassifikatsiya tipichnykh lineinykh differentsialnykh uravnenii vtorogo poryadka s chastnymi proizvodnymi na ploskosti”, Dokl. RAN, 350:2 (1996), 151–154
Davydov A.A., Mena-Matosh E., “Tipichnye fazovye perekhody i osobennosti vygody v modeli Arnolda”, Matem. sb., 198:1 (2007), 21–42

https://www.mathnet.ru/eng/person8532

https://ru.wikipedia.org/wiki/Davydov,_Aleksei_Aleksandrovich

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/601545

https://elibrary.ru/author_items.asp?authorid=3471

ISTINA

https://istina.msu.ru/workers/7997877

https://www.scopus.com/authid/detail.url?authorId=7201949615

https://www.researchgate.net/profile/A_Davydov2

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	A. A. Davydov, “Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point”, Funct. Anal. Appl., 19:2 (1985), 81–89
2.	A. A. Davydov, Qualitative theory of control systems, Translations of Mathematical Monographs, 141, American Mathematical Society, Providence, RI, 1994 , viii+147 pp.	43 ^[x]
3.	A. O. Belyakov, A. A. Davydov, V. M. Veliov, “Optimal Cyclic Exploitation of Renewable Resources”, Journal of Dynamical and Control Systems, 21:3 (2015), 475 – 494	21 ^[x]
4.	A. Davydov, G. Ishikawa, S. Izumiya, W.-Z. Sun, “Generic singularities of implicit systems of first order differential equations on the plane”, Japanese Journal of Mathematics, 3:1 (2008), 93-120	21 ^[x]
5.	A. Belyakov, A. A. Davydov, “Efficiency optimization for the cyclic use of a renewable resource”, Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 14–21
6.	A. A. Davydov, “Singularities of fields of limiting directios of two-dimensional control systems”, Math. USSR-Sb., 64:2 (1989), 471–493
7.	A. A. Davydov, H. Mena Matos, “Generic phase transitions and profit singularities in Arnol'd's model”, Sb. Math., 198:1 (2007), 17–37
8.	A. A. Davydov, “Generic Profit Singularities in Arnold's Model of Cyclic Processes”, Proc. Steklov Inst. Math., 250 (2005), 70–84
9.	A. A. Davydov, V. I. Danchenko, M. Yu. Zvyagin, “Existence and Uniqueness of a Stationary Distribution of a Biological Community”, Proc. Steklov Inst. Math., 267 (2009), 40–49
10.	A. A. Davydov, “Existence of Optimal Stationary States of Exploited Populations with Diffusion”, Proc. Steklov Inst. Math., 310 (2020), 124–130
11.	A. A. Davydov, A. S. Platov, “Optimal stationary solution in forest management model by accounting intra-species competition”, Mosc. Math. J., 12:2 (2012), 269–273	11 ^[x]
12.	A. A. Davydov, “Structural stability of control systems on orientable surfaces”, Math. USSR-Sb., 72:1 (1992), 1–28
13.	A. A. Davydov, “Local controllability of typical dynamical inequalities on surfaces”, Proc. Steklov Inst. Math., 209 (1995), 73–106
14.	A. A. Davydov, D. A. Melnik, “Optimal states of distributed exploited populations with periodic impulse selection”, Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S81–S88
15.	A. Davydov, D. Brigolin, R. Pastres, I. Petrenko, “Optimization of shellfish production carrying capacity at a farm scale”, Applied Mathematics and Computations, 204:2 (2008), 532 – 540	8 ^[x]
16.	Davydov, A., Vinnikov, E., “Optimal Cyclic Dynamic of Distributed Population Under Permanent and Impulse Harvesting”, Dynamic Control and Optimization. DCO 2021., Springer Proceedings in Mathematics & Statistics, Springer Proceedings in Mathematics & Statistics, 407, eds. Tchemisova, T.V., Torres, D.F.M., Plakhov, A.Y., Springer, 2022, 90-101	7 ^[x]
17.	A. A. Davydov, È. Rosales-Gonsales, “Complete classification of generic linear second-order partial differential equations in the plane”, Dokl. Akad. Nauk, 350:2 (1996), 151–154
18.	A. A. Davydov, “The normal form of slow motions of an equation of relaxation type and fibrations of binomial surfaces”, Math. USSR-Sb., 60:1 (1988), 133–141
19.	Alexey Davydov, “Optimal steady state of distributed population in periodic environment”, AIP Conference Proceedings, 2333:1, 120007 (2021), 1-4	6 ^[x]
20.	A. A. Davydov, V. M. Zakalyukin, “Point singularities of a conditional minimum on a three-dimensional manifold”, Proc. Steklov Inst. Math., 220 (1998), 109–125
21.	T. Manzoor, E. Rovenskaya, A. Davydov, A. Muhammad, “Learning Through Fictitious Play in a Game-Theoretic Model of Natural Resource Consumption”, IEEE Control Systems Letters, 2:1 (2018), 163 – 168	5 ^[x]
22.	Yu. A. Grishina, A. A. Davydov, “Structural Stability of Simplest Dynamical Inequalities”, Proc. Steklov Inst. Math., 256 (2007), 80–91
23.	E. V. Vinnikov, A. A. Davydov, D. V. Tunitsky, “Existence of maximum of time averaged harvesting in the KPP-model on sphere with permanent and impulse collection”, Dokl. Math., 108:3 (2023), 472–476
24.	A. Davydov, “Normal forms of linear second order partial differential equations on the plane.”, Sci China Math, 61 (2018), 1-16 (to appear) https://doi.org/10.1007/s11425-017-9303-0	4 ^[x]
25.	A. A. Davydov, A. F. Nassar, “On a stationary state in the dynamics of a population with hierarchical competition”, Russian Math. Surveys, 69:6 (2014), 1126–1128
26.	A. A. Davydov, V. M. Zakalyukin, “Controllability of non-linear systems: generic singularities and their stability”, Russian Math. Surveys, 67:2 (2012), 255–280
27.	A. A. Davydov, T. S. Shutkina, “Optimizing a cyclic process with discount with respect to its time average profit”, Russian Math. Surveys, 64:1 (2009), 136–138
28.	A. A. Davydov, H. Mena-Matos, “Singularity theory approach to time averaged optimization”, SINGULARITIES IN GEOMETRY AND TOPOLOGY, World Scientific Publishing Co. Pte. Ltd., 2007, 598 – 628	4 ^[x]
29.	A. A. Davydov, “Singularities of Limiting Directions of Generic Higher Order Implicit ODEs”, Proc. Steklov Inst. Math., 236 (2002), 124–131
30.	A. A. Davydov, “Singularities of the admissibility boundary in two-dimensional control systems”, Russian Math. Surveys, 37:3 (1982), 200–201
31.	A. O. Belyakov, A. A. Davydov, V. M. Veliov, “Optimal Cyclic Harvesting of Renewable Resource1”, Doklady Mathematics, 96:2 (2017), 472 – 474	3 ^[x]
32.	A. A. Davydov, A. S. Platov, “Optimization of stationary solution of a model of size-structured population exploitation”, J. Math.Sci., 176:6 (2011), 860 – 869	3 ^[x]
33.	A. A. Davydov, L. Trinh Thi Diep, “Normal forms for families of linear equations of mixed type near non-resonant folded singular points”, Russian Math. Surveys, 65:5 (2010), 984–986
34.	A. Davydov, R. Pastres, I. Petrenko, “Optimization of the spatial distribution of pollution emission in 1D flow”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 5, 2010, 30–35
35.	A. A. Davydov, J. Basto-Gonsalves, “Controllability of Generic Inequalities Near Singular Points.”, Journal of Dynamical and Control Systems, 7 (2001), 77–99	3 ^[x]
36.	A. A. Davydov, L. Ortiz-Bobadil'ya, “Normal forms of folded elementary singular points”, Russian Math. Surveys, 50:6 (1995), 1260–1261
37.	Aleksey Davydov, “Singularities of the maximum function over a preimage”, DOI: 10.4064/-32-1-167-181, Banach Center Publications, 32, Institute of Mathematics of Polish Academy of Sciences, 1995, 167 – 181 https://www.impan.pl/en/publishing-house/banach-center-publications/all/32/0/108704/singularities-of-the-maximum-function-over-a-preimage	3 ^[x]
38.	A. O. Belyakov, A. A. Davydov, “Optimal Cyclic Harvesting of a Distributed Renewable Resource with Diffusion”, Proc. Steklov Inst. Math., 315 (2021), 56–64
39.	A. A. Davydov, A. S. Platov, “Optimal exploitation of two competing size-structured populations”, Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 49–54
40.	A. A. Davydov, M. A. Komarov, “Local Controllability Bifurcations in Families of Bidynamical Systems on the Plane”, Proc. Steklov Inst. Math., 261 (2008), 84–93
41.	A. A. Davydov, N. B. Melnikov, “Andronov–Hopf bifurcation in simple double diffusion models”, Russian Math. Surveys, 62:2 (2007), 382–384
42.	A. A. Davydov, A. F. Nassar, “Stationary Regime of Exploitation of Size-Structured Population with Hierarchical Competition”, Journal of Mathematical Sciences, 205:2 (2015), 199 – 204	1 ^[x]
43.	A. A. Davydov, A. S. Platov, “Optimal stationary solution for a model of exploitation of a population under intraspecific competition”, Journal of Mathematical Sciences, 201:6 (2014), 746–750
44.	A. A. Davydov, H. Mena-Matos, C. S. Moreira, “Generic profit singularities in time-averaged optimization for cyclic processes in polydynamical systems”, Journal of Mathematical Sciences, 199:5 (2014), 510–534
45.	A. A. Davydov, N. B. Melnikov, “Soft Loss of Stability in an Ocean Circulation Box Model with Turbulent Fluxes”, Proc. Steklov Inst. Math., 259 (2007), 6–15
46.	A. Davydov, H. Jongen,, “Normal Forms in One-Parametric Optimization”, Annals of Operations Research, 101 (2001), 255-265 https://doi.org/10.1023/A:1010941111726	1 ^[x]
47.	A. A. Davydov, V. M. Zakalyukin, “The coincidence of generic singularities of solutions of extremal problems with constraints”, J. Math. Sci. (New York), 103:6 (2001), 709–724
48.	Alexey Davydov, Alexander Plakhov, “Dynamics of a Pendulum in a Rarefied Flow”, Regul. Chaotic Dyn., 29:1 (2024), 134–142 ;
49.	A. A. Davydov, S. O. Zosimov, “Typical Occurrence of Self-oscillations in an Ocean Circulation Box Model with Turbulent Fluxes”, Proc. Steklov Inst. Math., 321 (2023), 107–116
50.	A. A. Davydov, Kh. A. Khachatryan, “Stationary states in population dynamics with migration and distributed offspring”, CMFD, 69, no. 4, PFUR, M., 2023, 578–587
51.	A. A. Davydov, Yu. A. Kasten, “On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi–Cibrario Type Equation”, Proc. Steklov Inst. Math., 304 (2019), 146–152
52.	Alexey Davydov; Yulia Skinder, “On structural stability of dynamic inequalities”, AIP Conference Proceedings, 2172:030017 (2019), 1-5
53.	A. A. Davydov, Y. A. Kasten, “On Nonlocal Normal Forms of Linear Second Order Mixed Type PDEs on the Plane”, Control Systems and Mathematical Methods in Economics., Lecture Notes in Economics and Mathematical Systems, 687, eds. Feichtinger G., Kovacevic R., Tragler G., Springer, 2018, 15 – 25 https://link.springer.com/chapter/10.1007/978-3-319-75169-6_2#citeas
54.	A. A. Davydov, A. F. Nassar, “On the Uniqueness of a Positive Stationary State in the Dynamics of a Population with Asymmetric Competition”, Proc. Steklov Inst. Math., 291 (2015), 78–86
55.	A. A. Davydov, T. S. Shutkina, “Generic Profit Singularities of One-Parameter Cyclic Processes with Discount”, J. Math. Sci, 195:3 (2013), 288 – 298
56.	A. A. Davydov, T. S. Shutkina, “Uniqueness of a cycle with discounting that is optimal with respect to the average time profit”, Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S80–S87
57.	A. A. Davydov, T. S. Shutkina, “Time average optimization of cycle process with profit and effort discounts”, Nelin. Dinam., 6:1 (2010), 151–158
58.	V. I. Arnold, A. A. Davydov, V. A. Vassiliev, V. M. Zakalyukin, “Mathematical models and control of catastrophic processes”, UNESCO Encyclopaedia of Life Support Systems, v. II, eds. V. I. Agoshkov, J.-P. Puel, EOLSS Publishers, Oxford, UK, 2005, 3 – 46 http://www.eolss.net/Sample-Chapters/C02/E6-03A-07-05.pdf
59.	A. A. Davydov, L. Trinh Thi Diep, “Reduction theorem and normal forms of linear second order mixed type PDE families in the plane”, TWMS Jour. Pure Appl. Math., 2:1 (2001), 44 - 53
60.	A. A. Davydov, L. Trinh Thi Diep, “Reduction theorem and normal forms of linear second order mixed type PDE families in the plane”, TWMS Jour. Pure Appl. Math., 2:1 (2001), 44 - 53
61.	A. A. Davydov, J. Basto-Goncalves, “Controllability of inequalities at 2-singular points”, Russian Math. Surveys, 55:6 (2000), 1139–1140
62.	A. A. Davydov, V. M. Zakalyukin, “Classification of relative minima singularities”, Banach Center Publication, Geometry and Topolgy of Caustics, 50 (1999), 75 – 90
63.	Aleksey Davydov, “Controllability of generic control systems on surfaces”: B. Jakubczyk, W. Respondek, MONOGRAPHS AND TEXTBOOKS IN PURE AND APPLIED MATHEMATICS, v. 207, MARCEL DEKKEr, INC, ., Geometry of Feedback and Optimal Control, Chapman & Hall/CRC, 1998, 111-164
64.	A. A. Davydov, E. Rosales-Gonzales, “Smooth normal forms of folded resonance saddles and nodes and complete classification of generic linear second order PDE's on the plane,”, Equadiff 95, International Conference on Differential Equations, Lisbon 1995, eds. Magalhaes, L., Rocha, C., Sanchez, L., Singapore: World Scientific, 1998, 59 – 68
65.	A. A. Davydov, L. Ortiz-Bobadilla, “Smooth normal forms of folded elementary singular points”, Davydov, A.A. & Ortiz-Bobadilla, L. Journal of Dynamical and Control Systems (1995) 1: 463. https://doi.org/10.1007/BF02255893, Journal of Dynamical and Control Systems, 1:4 (1995), 463 – 482 https://link.springer.com/article/10.1007/BF02255893
66.	A. A. Davydov, “The quasi-Hölder property of the boundary of attainabilitystatya”, Selecta Mathematica Sovietica, 93 (1990), 229 – 234
67.	A.A.Davydov, “Granitsa dostizhimosti mnogomernoi upravlyaemoi sistemy”, Trudy Tbilisskogo gos. universiteta, 1982, 78-96
68.	A. A. Davydov, A. S. Platov, D. V. Tunitsky, “Existence of an optimal stationary solution in the KPP model under nonlocal competition”, Trudy Inst. Mat. i Mekh. UrO RAN, 30, no. 3, 2024, 113–121
69.	V. Ya. Rivkind, S. P. Novikov, V. M. Petkov, V. P. Myasnikov, M. V. Fedoryuk, V. V. Kucherenko, A. A. Davydov, A. I. Neishtadt, S. N. Kruzhkov, S. A. Molchanov, A. A. Ruzmaikin, D. D. Sokolov, Yu. M. Sukhov, A. G. Shukhov, B. R. Vainberg, V. I. Bakhtin, A. G. Vainshtein, B. Z. Shapiro, V. A. Kondrat'ev, O. A. Oleinik, M. I. Vishik, S. B. Kuksin, A. G. Korolev, Yu. S. Ilyashenko, “Sessions of the Petrovskii seminar on differential equations and mathemathical problems of physics”, Uspekhi Mat. Nauk, 40:5(245) (1985), 295–307
70.	S. M. Aseev, V. M. Buchstaber, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, A. A. Davydov, A. Yu. Zhirov, E. V. Zhuzhoma, M. I. Zelikin, A. B. Katok, A. V. Klimenko, V. V. Kozlov, V. P. Leksin, M. I. Monastyrskii, A. I. Neishtadt, S. P. Novikov, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, “Dmitrii Viktorovich Anosov (obituary)”, Russian Math. Surveys, 70:2 (2015), 369–381
71.	A. A. Davydov, V. V. Kozlov, F. L. Chernous'ko, “International mathematical conferences and schools for young researchers in Suzdal'”, Russian Math. Surveys, 69:1 (2014), 183–185
72.	A. A. Agrachev, D. V. Anosov, I. A. Bogaevskii, A. S. Bortakovskii, A. B. Budak, V. A. Vassiliev, V. V. Goryunov, S. M. Gusein-Zade, A. A. Davydov, V. R. Zarodov, V. D. Sedykh, D. V. Treshchev, V. N. Chubarikov, “Vladimir Mikhailovich Zakalyukin (obituary)”, Russian Math. Surveys, 67:2 (2012), 375–379
73.	Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov, “In memory of Evgenii Frolovich Mishchenko”, Proc. Steklov Inst. Math., 271 (2010), 1–2
74.	A. N. Varchenko, V. A. Vassiliev, S. M. Gusein-Zade, A. A. Davydov, V. M. Zakalyukin, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Kushnirenko, S. K. Lando, A. G. Khovanskii, “Vladimir Igorevich Arnold in the Eyes of His Students: On the occasion of his 70th birthday”, Proc. Steklov Inst. Math., 259 (2007), 1–5
75.	Differentsialnye uravneniya i dinamicheskie sistemy, Sbornik statei, Trudy MIAN, 308, ed. S. M. Aseev, A. A. Davydov, G. P. Panasenko, MIAN, M., 2020 , 276 pp.

Presentations in Math-Net.Ru

1.	On canonical forms of linear second-order partial differential equations in the plane A. A. Davydov V. I. Smirnov Seminar on Mathematical Physics November 25, 2024 15:00
2.	Динамика распределенных систем на многообразиях: стабилизация и оптимизация A. A. Davydov, D. V. Tunitsky Conference dedicated to 70th anniversary of A. L. Skubachevsky December 13, 2023 17:15
3.	Динамические неравенства, их структурная устойчивость и жесткость колпаков A. A. Davydov Meeting-conference dedicated to the memory of academician E.F. Mishchenko November 24, 2023 15:35
4.	Мягкая потеря устойчивости в блочной модели океанических циркуляций с турбулентными потоками A. A. Davydov November 9, 2022 16:30
5.	The existence of an optimal mixed harvesting of a distributed resource A. A. Davydov, E. V. Vinnikov International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 8, 2022 11:30
6.	Optimal exploitation of distributed population in periodic environment A. A. Davydov Seminar "Optimal Control and Dynamical Systems" November 26, 2021 13:00
7.	Structural stability of controlled systems and related issues A. A. Davydov School of Young Scientists "Mathematical Methods of Mechanics" November 1, 2021 12:15
8.	On optimal stationary conditions of exploited populations A. A. Davydov International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday January 24, 2020 15:45
9.	Stability of controllability of dynamic inequalities A. A. Davydov International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin December 14, 2018 09:00
10.	Особенности параметрической оптимизации, их устойчивость и приложения A. A. Davydov International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy May 31, 2018 14:30
11.	Opening of the Conference N. L. Grigorenko, E. I. Moiseev, A. D. Gvishiani, E. A. Rovenskaya, S. M. Aseev, A. M. Tarasyev, A. A. Davydov, V. I. Maksimov, A. G. Chentsov International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy May 31, 2018 09:30
12.	Mathematical Foundation of Age- and Size-structured Modelling and Control A. A. Davydov Age-structured modeling and management of biological and economic resources. Moscow Winter Academy MWA2018 February 6, 2018 09:30
13.	Optimization of stationary solutions in population dynamics A. A. Davydov International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 2, 2017 15:00
14.	К теории нормальных форм уравнений смешанного типа на плоскости A. A. Davydov Dynamical systems and differential equations May 22, 2017 18:30
15.	The average time optimization and cyclicity A. A. Davydov International conference "Dynamical Systems: Inverse Problems, Stability and Control Processes" dedicated to the 80th birthday of Yu. S. Osipov September 22, 2016 13:20
16.	Theory of normal forms of linear second order mixed type PDEs on the plane A. A. Davydov The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics May 11, 2016 13:00
17.	Особенности оптимизации циклических процессов A. A. Davydov Steklov Mathematical Institute Seminar February 18, 2016 16:00
18.	Singularities of parametric optimization and optimal control of cyclic processes A. A. Davydov International Conference on Mathematical Control Theory and Mechanics July 5, 2015 12:10
19.	Optimal stationary modes of cyclic utilization of renewable resources A. A. Davydov The International Conference "Geometric Control Theory and Analysis on Metric Structures" August 7, 2014 17:00
20.	Structural stability of control systems A. A. Davydov Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin September 25, 2013 11:10
21.	Reduction theorem and normal forms of linear second order PDE in the plane A. A. Davydov International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold December 21, 2012 15:40

Books in Math-Net.Ru

Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 308, ed. S. M. Aseev, A. A. Davydov, G. P. Panasenko, 2020, 276 с.
http://mi.mathnet.ru/book1782

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