А. А. Давыдов

461 total citations
66 papers, 242 citations indexed

About

А. А. Давыдов is a scholar working on Geometry and Topology, Mathematical Physics and Public Health, Environmental and Occupational Health. According to data from OpenAlex, А. А. Давыдов has authored 66 papers receiving a total of 242 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Geometry and Topology, 17 papers in Mathematical Physics and 15 papers in Public Health, Environmental and Occupational Health. Recurrent topics in А. А. Давыдов's work include Mathematical and Theoretical Epidemiology and Ecology Models (15 papers), Advanced Differential Equations and Dynamical Systems (14 papers) and Mathematical Biology Tumor Growth (7 papers). А. А. Давыдов is often cited by papers focused on Mathematical and Theoretical Epidemiology and Ecology Models (15 papers), Advanced Differential Equations and Dynamical Systems (14 papers) and Mathematical Biology Tumor Growth (7 papers). А. А. Давыдов collaborates with scholars based in Russia, Austria and Portugal. А. А. Давыдов's co-authors include Vladimir M. Veliov, V. M. Zakalyukin, Roberto Pastres, Daniele Brigolin, V. I. Danchenko, Nikolai B. Melnikov, Maarten Bischoff, E. Rovenskaya, Abubakr Muhammad and Hubertus Th. Jongen and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Applied Mathematics and Computation and Annals of Operations Research.

In The Last Decade

А. А. Давыдов

50 papers receiving 216 citations

Peers

А. А. Давыдов
А. А. Давыдов
Citations per year, relative to А. А. Давыдов А. А. Давыдов (= 1×) peers Zuohuan Zheng

Countries citing papers authored by А. А. Давыдов

Since Specialization
Citations

This map shows the geographic impact of А. А. Давыдов's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by А. А. Давыдов with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites А. А. Давыдов more than expected).

Fields of papers citing papers by А. А. Давыдов

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by А. А. Давыдов. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by А. А. Давыдов. The network helps show where А. А. Давыдов may publish in the future.

Co-authorship network of co-authors of А. А. Давыдов

This figure shows the co-authorship network connecting the top 25 collaborators of А. А. Давыдов. A scholar is included among the top collaborators of А. А. Давыдов based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with А. А. Давыдов. А. А. Давыдов is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
2.
Давыдов, А. А., et al.. (2024). Existence of an Optimal Stationary Solution in the KPP Model under Nonlocal Competition. Proceedings of the Steklov Institute of Mathematics. 327(S1). S66–S73.
4.
Давыдов, А. А., et al.. (2023). Existence of a Maximum of Time-Averaged Harvesting in the KPP Model on Sphere with Permanent and Impulse Harvesting. Doklady Mathematics. 108(3). 472–476. 4 indexed citations
5.
Давыдов, А. А., et al.. (2023). On Solutions of a System of Nonlinear Integral Equations of Convolution Type on the Entire Real Line. Differential Equations. 59(11). 1504–1519.
6.
Давыдов, А. А., et al.. (2021). Optimal Cyclic Harvesting of a Distributed Renewable Resource with Diffusion. Proceedings of the Steklov Institute of Mathematics. 315(1). 56–64. 1 indexed citations
7.
Давыдов, А. А., et al.. (2020). Существование оптимальных стационарных состояний эксплуатируемых популяций с диффузией. Труды Математического института им Стеклова. 310. 135–142. 2 indexed citations
8.
Давыдов, А. А., et al.. (2019). On structural stability of dynamic inequalities. AIP conference proceedings. 2172. 30017–30017.
9.
Давыдов, А. А., et al.. (2019). О структурной устойчивости сетей характеристик и задаче Коши для уравнения типа Трикоми-Чибрарио. Труды Математического института им Стеклова. 304. 159–166.
10.
Давыдов, А. А., et al.. (2015). Stationary Regime of Exploitation of Size-Structured Population with Hierarchical Competition. Journal of Mathematical Sciences. 205(2). 199–204.
11.
Давыдов, А. А., et al.. (2014). Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems. Journal of Mathematical Analysis and Applications. 424(1). 704–726. 1 indexed citations
12.
Давыдов, А. А., et al.. (2014). Generic Profit Singularities in Time-Averaged Optimization for Cyclic Processes in Polydynamical Systems. Journal of Mathematical Sciences. 199(5). 510–534. 1 indexed citations
13.
Давыдов, А. А. & V. M. Zakalyukin. (2012). Controllability of non-linear systems: generic singularities and their stability. Russian Mathematical Surveys. 67(2). 255–280. 3 indexed citations
14.
Давыдов, А. А., et al.. (2011). Normal forms for families of linear equations of mixed type near non-resonant folded singular points. Russian Mathematical Surveys. 65(5). 984–986. 5 indexed citations
15.
Давыдов, А. А., et al.. (2009). Optimizing a cyclic process with discount with respect to its time average profit. Russian Mathematical Surveys. 64(1). 136–138. 2 indexed citations
16.
Давыдов, А. А., et al.. (2008). Local controllability bifurcations in families of bidynamical systems on the plane. Proceedings of the Steklov Institute of Mathematics. 261(1). 84–93. 2 indexed citations
17.
Давыдов, А. А. & Nikolai B. Melnikov. (2007). Andronov-Hopf bifurcation in simple double diffusion models. Russian Mathematical Surveys. 62(2). 382–384. 1 indexed citations
18.
Давыдов, А. А., et al.. (2007). SINGULARITY THEORY APPROACH TO TIME AVERAGED OPTIMIZATION. IIASA PURE (International Institute of Applied Systems Analysis). 598–628. 4 indexed citations
19.
Давыдов, А. А. & V. M. Zakalyukin. (1998). Point singularities of a conditional minimum on a three-dimensional manifold. 220. 109–125. 2 indexed citations
20.
Давыдов, А. А.. (1985). Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point. Functional Analysis and Its Applications. 19(2). 81–89. 39 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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