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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: 396
Presentations: 20

Number of views:
This page:12622
Abstract pages:26153
Full texts:7911
References:2384
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:
  1. 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  mathnet  mathscinet  zmath
  2. Davydov A.A., “Osobennosti polei predelnykh napravlenii dvumernykh upravlyaemykh sistem”, Matem. sb., 136(178):4 (1988), 478–499  mathnet  mathscinet  zmath
  3. Davydov A.A., “Strukturnaya ustoichivost upravlyaemykh sistem na orientiruemykh poverkhnostyakh”, Matem. sb., 182:1 (1991), 3–35  mathnet  mathscinet  zmath
  4. 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  mathscinet  zmath
  5. Davydov A.A., Mena-Matosh E., “Tipichnye fazovye perekhody i osobennosti vygody v modeli Arnolda”, Matem. sb., 198:1 (2007), 21–42  mathnet  mathscinet  zmath

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)

   2024
1. Alexey Davydov, Alexander Plakhov, “Dynamics of a Pendulum in a Rarefied Flow”, Regul. Chaotic Dyn., 29:1 (2024), 134–142  mathnet  crossref;
2. 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  mathnet  crossref  elib

   2023
3. 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  mathnet  crossref  crossref  scopus
4. 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  mathnet  crossref  crossref  elib
5. 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  mathnet  crossref

   2022
6. 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  crossref 5

   2021
7. 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  mathnet  crossref  crossref  isi  elib  scopus
8. A. O. Belyakov, A. A. Davydov, “Optimal Cyclic Harvesting of a Distributed Renewable Resource with Diffusion”, Proc. Steklov Inst. Math., 315 (2021), 56–64  mathnet  crossref  crossref  isi  scopus
9. Alexey Davydov, “Optimal steady state of distributed population in periodic environment”, AIP Conference Proceedings, 2333:1, 120007 (2021), 1-4  crossref 6

   2020
10. A. A. Davydov, “Existence of Optimal Stationary States of Exploited Populations with Diffusion”, Proc. Steklov Inst. Math., 310 (2020), 124–130  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
11. 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.  mathnet

   2019
12. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
13. Alexey Davydov; Yulia Skinder, “On structural stability of dynamic inequalities”, AIP Conference Proceedings, 2172:030017 (2019), 1-5  crossref

   2018
14. 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  crossref  mathscinet  zmath  isi  scopus
15. 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  crossref  mathscinet  isi  scopus 5
16. 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  crossref  mathscinet  isi  scopus 4

   2017
17. A. O. Belyakov, A. A. Davydov, V. M. Veliov, “Optimal Cyclic Harvesting of Renewable Resource1”, Doklady Mathematics, 96:2 (2017), 472 – 474  crossref  mathscinet  zmath  isi  elib  scopus 3
18. 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  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2015
19. 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  mathnet  crossref  crossref  isi  elib  elib  scopus
20. 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  crossref  mathscinet  zmath  scopus 21
21. 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  crossref  mathscinet  zmath  scopus 1
22. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib

   2014
23. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
24. 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  mathnet  crossref  crossref  zmath  adsnasa  isi  elib  scopus
25. 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  mathnet  crossref  mathscinet  isi  elib  scopus

   2013
26. A. A. Davydov, T. S. Shutkina, “Generic Profit Singularities of One-Parameter Cyclic Processes with Discount”, J. Math. Sci, 195:3 (2013), 288 – 298  crossref  mathscinet  zmath  elib  scopus

   2014
27. 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  mathnet  crossref  scopus

   2012
28. 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  mathnet  crossref  mathscinet  zmath  isi  elib 11
29. A. A. Davydov, V. M. Zakalyukin, “Controllability of non-linear systems: generic singularities and their stability”, Russian Math. Surveys, 67:2 (2012), 255–280  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
30. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2014
31. 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  mathnet  crossref  mathscinet  scopus

   2012
32. 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  mathnet  crossref  isi  elib  scopus

   2011
33. 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  crossref  mathscinet  zmath  elib  scopus 3

   2010
34. A. A. Davydov, T. S. Shutkina, “Time average optimization of cycle process with profit and effort discounts”, Nelin. Dinam., 6:1 (2010), 151–158  mathnet  elib
35. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
36. 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  mathnet  elib
37. 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  mathnet  crossref  mathscinet  isi  elib

   2009
38. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
39. 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  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
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  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
41. 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  crossref  mathscinet  zmath  scopus 8
42. 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  crossref  mathscinet  scopus 21

   2007
43. A. A. Davydov, N. B. Melnikov, “Andronov–Hopf bifurcation in simple double diffusion models”, Russian Math. Surveys, 62:2 (2007), 382–384  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
44. A. A. Davydov, H. Mena Matos, “Generic phase transitions and profit singularities in Arnol'd's model”, Sb. Math., 198:1 (2007), 17–37  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
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  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
46. Yu. A. Grishina, A. A. Davydov, “Structural Stability of Simplest Dynamical Inequalities”, Proc. Steklov Inst. Math., 256 (2007), 80–91  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
47. 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  crossref  mathscinet  zmath 4
48. 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  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2005
49. A. A. Davydov, “Generic Profit Singularities in Arnold's Model of Cyclic Processes”, Proc. Steklov Inst. Math., 250 (2005), 70–84  mathnet  mathscinet  zmath
50. 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

   2002
51. A. A. Davydov, “Singularities of Limiting Directions of Generic Higher Order Implicit ODEs”, Proc. Steklov Inst. Math., 236 (2002), 124–131  mathnet  mathscinet  zmath

   2001
52. 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  mathscinet
53. 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  mathscinet
54. 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  crossref 1
55. A. A. Davydov, J. Basto-Gonsalves, “Controllability of Generic Inequalities Near Singular Points.”, Journal of Dynamical and Control Systems, 7 (2001), 77–99  crossref 3

   2000
56. A. A. Davydov, J. Basto-Goncalves, “Controllability of inequalities at 2-singular points”, Russian Math. Surveys, 55:6 (2000), 1139–1140  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2001
57. 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  mathnet  crossref  mathscinet  zmath

   1999
58. A. A. Davydov, V. M. Zakalyukin, “Classification of relative minima singularities”, Banach Center Publication, Geometry and Topolgy of Caustics, 50 (1999), 75 – 90

   1998
59. 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  mathnet  mathscinet  zmath
60. 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  mathscinet
61. 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  mathscinet

   1996
62. 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  mathnet  mathscinet  zmath

   1995
63. A. A. Davydov, L. Ortiz-Bobadil'ya, “Normal forms of folded elementary singular points”, Russian Math. Surveys, 50:6 (1995), 1260–1261  mathnet  crossref  mathscinet  zmath  adsnasa  isi
64. A. A. Davydov, “Local controllability of typical dynamical inequalities on surfaces”, Proc. Steklov Inst. Math., 209 (1995), 73–106  mathnet  mathscinet  zmath
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  crossref  mathscinet  zmath
66. 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  crossref  mathscinet  zmath 3

   1994
67. A. A. Davydov, Qualitative theory of control systems, Translations of Mathematical Monographs, 141, American Mathematical Society, Providence, RI, 1994 , viii+147 pp.  crossref  mathscinet  zmath 43

   1992
68. A. A. Davydov, “Structural stability of control systems on orientable surfaces”, Math. USSR-Sb., 72:1 (1992), 1–28  mathnet  crossref  mathscinet  zmath  adsnasa  isi

   1990
69. A. A. Davydov, “The quasi-Hölder property of the boundary of attainabilitystatya”, Selecta Mathematica Sovietica, 93 (1990), 229 – 234

   1989
70. A. A. Davydov, “Singularities of fields of limiting directios of two-dimensional control systems”, Math. USSR-Sb., 64:2 (1989), 471–493  mathnet  crossref  mathscinet  zmath

   1988
71. 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  mathnet  crossref  mathscinet  zmath

   1985
72. 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  mathnet  crossref  mathscinet  zmath  isi
73. 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  mathnet

   1982
74. A. A. Davydov, “Singularities of the admissibility boundary in two-dimensional control systems”, Russian Math. Surveys, 37:3 (1982), 200–201  mathnet  crossref  mathscinet  zmath  adsnasa
75. A.A.Davydov, “Granitsa dostizhimosti mnogomernoi upravlyaemoi sistemy”, Trudy Tbilisskogo gos. universiteta, 1982, 78-96

Presentations in Math-Net.Ru
1. 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   
2. 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
3. Мягкая потеря устойчивости в блочной модели океанических циркуляций с турбулентными потоками
A. A. Davydov

November 9, 2022 16:30
4. 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   
5. Optimal exploitation of distributed population in periodic environment
A. A. Davydov
Seminar "Optimal Control and Dynamical Systems"
November 26, 2021 13:00   
6. Structural stability of controlled systems and related issues
A. A. Davydov
School of Young Scientists "Mathematical Methods of Mechanics"
November 1, 2021 12:15   
7. 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   
8. 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   
9. 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   
10. 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   
11. 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   
12. 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   
13. К теории нормальных форм уравнений смешанного типа на плоскости
A. A. Davydov
Dynamical systems and differential equations
May 22, 2017 18:30
14. 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   
15. 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   
16. Особенности оптимизации циклических процессов
A. A. Davydov
Steklov Mathematical Institute Seminar
February 18, 2016 16:00   
17. 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
18. 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
19. 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   
20. 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
  1. 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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