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IIASA Alumnus Advanced Systems Analysis
Alexey Davydov joined IIASA in January 2005 as Principal Investigator within the Dynamic Systems Program, now the Advanced Systems Analysis (ASA) Program.
Prof. Davydov received his master's degree in mathematics in 1979, his candidate degree (PhD) 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 sixty 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), Full Professor (1993-2006), and Chair of the Department (2006-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 a visiting professor and research fellow at the Universidad Nacional Autonoma de Mexico, RTWH-Aachen, Universidade do Porto, Paris VII, Hokkaido University, and University of Liverpool, and has participated in several international scientific projects.
Last update: 02-APR-2012
Davydov A (2018). Normal forms of linear second order partial differential equations on the plane. Science China Mathematics 61 (11): 1947-1962. DOI:10.1007/s11425-017-9303-0.
Manzoor T, Rovenskaya E, Davydov A, & Muhammad A (2018). Learning Through Fictitious Play in a Game-Theoretic Model of Natural Resource Consumption. IEEE Control Systems Letters 2 (1): 163-168. DOI:10.1109/LCSYS.2017.2777898.
Aseev S, Chentsov AG, Davydov A, Grigorenko NL, Maksimov VI, Rovenskaya E, & Tarasiev AM (2016). In memory of Arkady Viktorovich Kryazhimskiy (1949-2014). Ural mathematical journal 2 (2): 3-15. DOI:10.15826/umj.2016.2.001.
Belyakov AO, Davydov AA, & Veliov VV (2015). Optimal cyclic exploitation of renewable resources. Journal of Dynamical and Control Systems 21 (3): 475-494. DOI:10.1007/s10883-015-9271-x.
Davydov AA, Mena-Matos H, & Moreira CS (2015). Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems. Journal of Mathematical Analysis and Applications 424 (1): 704-726. DOI:10.1016/j.jmaa.2014.11.039.
Davydov AA & Nassar AF (2015). Stationary regime of exploitation of size-structured population with hierarchical competition. Journal of Mathematical Sciences 205 (2): 199-204. DOI:10.1007/s10958-015-2241-8.
Davydov AA & Platov AS (2014). Optimal exploitation of two competing size-structured populations. Proceedings of the Steklov Institute of Mathematics 287 (1): 49-54. DOI:10.1134/S0081543814090053.
Davydov AA & Platov AS (2014). Optimal stationary solution for a model of exploitation of a population under intraspecific competition. Journal of Mathematical Sciences 201 (6): 746-750. DOI:10.1007/s10958-014-2023-8.
Davydov AA, Mena-Matos H, & Moreira CS (2014). Generic profit singularities in time-averaged optimization for cyclic processes in polydynamical systems. Journal of Mathematical Sciences 199 (5): 510-534. DOI:10.1007/s10958-014-1879-y.
Davydov A & Nassar AF (2014). On stationary solution in dynamic of population with hierarchical competition. Russian Mathematical Surveys 69 (6) DOI:10.1070/RM2014v069n06ABEH004930.
Davydov AA & Shutkina T (2013). Generic profit singularities of one-parameter cyclic processes with discount. Journal of Mathematical Sciences 195 (3): 288-298. DOI:10.1007/s10958-013-1580-6.
Davydov AA & Manh HD (2013). Singularities of the attainable set on an orientable surface with boundary. Journal of Mathematical Sciences 188 (3): 185-196. DOI:10.1007/s10958-012-1117-4.
Davydov AA & Platov AS (2012). Optimal stationary solution in forest management model by accounting intra-species competition. Moscow Mathematical Journal 12 (2): 269-273.
Davydov AA & Zakalyukin VM (2012). Controllability of non-linear systems: Generic singularities and their stability. Russian Mathematical Surveys 67 (2): 255-280. DOI:10.1070/RM2012v067n02ABEH004786.
Davydov AA & Platov AS (2011). Optimization of stationary solution of a model of size-structured population exploitation. Mathematical Sciences 176 (6): 860-869. DOI:10.1007/s10958-011-0441-4.
Davydov AA & Shutkina TS (2011). Uniqueness of a cycle with discounting that is optimal with respect to the average time profit. Proceedings of the Institute of Mathematics and Mechanics UrB RAS 17 (2): 80-87.
Davydov AA & Thi Diep LT (2011). Reduction theorem and normal forms of linear second order mixed type PDE families in the plane. TWMS Journal of Pure and Applied Mathematics 2 (1): 44-53.
Davydov AA, Pastres R, & Petrenko I (2010). Optimization of the Spatial Distribution of Pollution Emission in Water Bodies. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-10-002
Davydov AA, Danchenko VI, & Zvyagin MY (2010). Existence and uniqueness of a stationary distribution of a biological community. Proceedings of the Steklov Institute of Mathematics 267 (1): 40-49. DOI:10.1134/S0081543809040038.
Davydov AA & Shutkina TS (2010). Time average optimization of cycle process with profit and effort discounts. Russian Journal of Nonlinear Dynamics 6 (1): 151-158. DOI:10.20537 / nd1001011.
Brigolin D, Davydov AA, Pastres R, & Petrenko I (2008). Optimization of shellfish production carrying capacity at a farm scale. Applied Mathematics and Computation 204 (2): 532-540. DOI:10.1016/j.amc.2008.05.118.
Davydov AA & Komarov MA (2008). Local controllability bifurcations in families of bidynamical systems on the plane. Proceedings of the Steklov Institute of Mathematics: 84-93. DOI:10.1134/S0081543808020077.
Davydov AA & Kukshina EO (2008). Typical profit singularities of one-parametric cyclic process with fixed period. Optimization 2 (2): 1-10. DOI:10.1080/02331930701779849.
Davydov AA & Melnikov NB (2007). Andronov-Hopf bifurcation in simple double diffusion models. Russian Mathematical Surveys: 382-384. DOI:10.1070/RM2007v062n02ABEH004402.
Davydov AA & Melnikov NB (2007). Limit cycle bifurcation in thermohaline convection box-model. In: International Conference "Analysis and Singularities", 20-24 August 2007.
Davydov AA & Melnikov NB (2007). Limit cycle oscillations in thermohaline circulation box model with turbulent fluxes. In: The 7th International Conference on Differential Equations EQUADIFF, 5-11 August 2007.
Davydov AA & Melnikov NB (2007). Soft loss of stability in an ocean circulation box model with turbulent fluxes. Proceedings of the Steklov Institute of Mathematics 259 (2): 6-15. DOI:10.1134/S0081543807040025.
Davydov AA & Mena-Matos H (2007). Generic phase transitions and profit singularities in Arnol'd's model. Sbornik: Mathematics 198 (1): 21-42. DOI:10.1070/SM2007v198n01ABEH003827.
Davydov AA & Mena-Matos H (2007). Singularity theory approach to time averaged optimization. In: Singularities in Geometry & Topology. Proceedings of the Trieste Summer School & Workshop. Eds. Brasselet, J-P., Damon, J., L.D.Trang, & Oka, M., Singapore pp. 598-628 : World Scientific Publishing Co. Pte. Ltd.. ISBN 978-981-270-022-310.1142/9789812706812_0019.
Grishina YA & Davydov AA (2007). Structural stability of simplest dynamical inequalities. Proceedings of the Steklov Institute of Mathematics 256 (1): 80-912007. DOI:10.1134/S0081543807010051.
Davydov AA & Melnikov NB (2006). Existence of Self-sustained Oscillations in an Ocean Circulation Box Model with Turbulent Fluxes. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-06-049
Davydov A & Mena Matos E (2006). Optimal strategies and transitions between them in Arnold’s model. Doklady Mathematics 74 (1): 566-568. DOI:10.1134/S1064562406040259.
Arnold VI, Davydov AA, Vassiliev VA, & Zakalyukin VM (2006). Mathematical Models of Catastrophes. Control of Catastrophic Processes. IIASA Research Report (Reprint). IIASA, Laxenburg, Austria: RP-06-007. Reprinted from Encyclopedia of Life Support Systems (EOLSS), EOLSS Publishers, Oxford, UK 
Davydov AA & Mena-Matos H (2005). Generic Phase Transition and Profit Singularities in Arnold's Model. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-05-058
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