Items where IIASA Author is "Davydov, Alexey"

Article

Davydov, A. (2020). Existence of Optimal Stationary States of Exploited Populations with Diffusion. Proceedings of the Steklov Institute of Mathematics 310 (1), 124-130. 10.1134/S0081543820050090.

Davydov, A. & Skinder, Y. (2019). On structural stability of dynamic inequalities. AIP Conference Proceedings 2172, e030017. 10.1063/1.5133506.

Davydov, A.A. & Kasten, Y.A. (2019). On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi—Cibrario Type Equation. Proceedings of the Steklov Institute of Mathematics 304 (1), 146-152. 10.1134/S0081543819010103.

Davydov, A. (2018). Normal forms of linear second order partial differential equations on the plane. Science China Mathematics 61 (11), 1947-1962. 10.1007/s11425-017-9303-0.

Manzoor, T., Rovenskaya, E. ORCID: https://orcid.org/0000-0002-2761-3443, 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. 10.1109/LCSYS.2017.2777898.

Aseev, S., Chentsov, A.G., Davydov, A., Grigorenko, N.L., Maksimov, V.I., Rovenskaya, E. ORCID: https://orcid.org/0000-0002-2761-3443 & Tarasiev, A.M. (2016). In memory of Arkady Viktorovich Kryazhimskiy (1949-2014). Ural mathematical journal 2 (2), 3-15. 10.15826/umj.2016.2.001.

Belyakov, A.O., Davydov, A.A. & Veliov, V.V. (2015). Optimal cyclic exploitation of renewable resources. Journal of Dynamical and Control Systems 21 (3), 475-494. 10.1007/s10883-015-9271-x.

Davydov, A.A., Mena-Matos, H. & Moreira, C.S. (2015). Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems. Journal of Mathematical Analysis and Applications 424 (1), 704-726. 10.1016/j.jmaa.2014.11.039.

Davydov, A.A. & Nassar, A.F. (2015). Stationary regime of exploitation of size-structured population with hierarchical competition. Journal of Mathematical Sciences 205 (2), 199-204. 10.1007/s10958-015-2241-8.

Davydov, A.A. & Platov, A.S. (2014). Optimal exploitation of two competing size-structured populations. Proceedings of the Steklov Institute of Mathematics 287 (1), 49-54. 10.1134/S0081543814090053.

Davydov, A.A. & Platov, A.S. (2014). Optimal stationary solution for a model of exploitation of a population under intraspecific competition. Journal of Mathematical Sciences 201 (6), 746-750. 10.1007/s10958-014-2023-8.

Davydov, A.A., Mena-Matos, H. & Moreira, C.S. (2014). Generic profit singularities in time-averaged optimization for cyclic processes in polydynamical systems. Journal of Mathematical Sciences 199 (5), 510-534. 10.1007/s10958-014-1879-y.

Davydov, A. & Nassar, A.F. (2014). On stationary solution in dynamic of population with hierarchical competition. Russian Mathematical Surveys 69 (6) 10.1070/RM2014v069n06ABEH004930.

Davydov, A.A. & Shutkina, T. (2013). Generic profit singularities of one-parameter cyclic processes with discount. Journal of Mathematical Sciences 195 (3), 288-298. 10.1007/s10958-013-1580-6.

Davydov, A.A. & Manh, H.D. (2013). Singularities of the attainable set on an orientable surface with boundary. Journal of Mathematical Sciences 188 (3), 185-196. 10.1007/s10958-012-1117-4.

Davydov, A.A. & Platov, A.S. (2012). Optimal stationary solution in forest management model by accounting intra-species competition. Moscow Mathematical Journal 12 (2), 269-273.

Davydov, A.A. & Zakalyukin, V.M. (2012). Controllability of non-linear systems: Generic singularities and their stability. Russian Mathematical Surveys 67 (2), 255-280. 10.1070/RM2012v067n02ABEH004786.

Davydov, A.A. & Platov, A.S. (2011). Optimization of stationary solution of a model of size-structured population exploitation. Mathematical Sciences 176 (6), 860-869. 10.1007/s10958-011-0441-4.

Davydov, A.A. & Thi Diep, L.T. (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, A.A. & Shutkina, T.S. (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, A.A., Danchenko, V.I. & Zvyagin, M.Y. (2010). Existence and uniqueness of a stationary distribution of a biological community. Proceedings of the Steklov Institute of Mathematics 267 (1), 40-49. 10.1134/S0081543809040038.

Davydov, A.A. & Shutkina, T.S. (2010). Time average optimization of cycle process with profit and effort discounts. Russian Journal of Nonlinear Dynamics 6 (1), 151-158. 10.20537 / nd1001011.

Brigolin, D., Davydov, A.A., Pastres, R. & Petrenko, I. (2008). Optimization of shellfish production carrying capacity at a farm scale. Applied Mathematics and Computation 204 (2), 532-540. 10.1016/j.amc.2008.05.118.

Davydov, A.A. & Komarov, M.A. (2008). Local controllability bifurcations in families of bidynamical systems on the plane. Proceedings of the Steklov Institute of Mathematics, 84-93. 10.1134/S0081543808020077.

Davydov, A.A. & Kukshina, E.O. (2008). Typical profit singularities of one-parametric cyclic process with fixed period. Optimization 2 (2), 1-10. 10.1080/02331930701779849.

Davydov, A.A. & Melnikov, N.B. (2007). Andronov-Hopf bifurcation in simple double diffusion models. Russian Mathematical Surveys, 382-384. 10.1070/RM2007v062n02ABEH004402.

Davydov, A.A. & Mena-Matos, H. (2007). Generic phase transitions and profit singularities in Arnol'd's model. Sbornik: Mathematics 198 (1), 21-42. 10.1070/SM2007v198n01ABEH003827.

Davydov, A.A. & Melnikov, N.B. (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. 10.1134/S0081543807040025.

Grishina, Y.A. & Davydov, A.A. (2007). Structural stability of simplest dynamical inequalities. Proceedings of the Steklov Institute of Mathematics 256 (1), 80-912007. 10.1134/S0081543807010051.

Davydov, A. & Mena Matos, E. (2006). Optimal strategies and transitions between them in Arnold’s model. Doklady Mathematics 74 (1), 566-568. 10.1134/S1064562406040259.

Book Section

Davydov, A.A. & 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 [2007]: World Scientific Publishing Co. Pte. Ltd.. ISBN 978-981-270-022-3 10.1142/9789812706812_0019.

Monograph

Davydov, A.A., 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, A.A. & Melnikov, N.B. (2006). Existence of Self-sustained Oscillations in an Ocean Circulation Box Model with Turbulent Fluxes. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-06-049

Arnold, V.I., Davydov, A.A., Vassiliev, V.A. & Zakalyukin, V.M. (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 [2006]

Davydov, A.A. & Mena-Matos, H. (2005). Generic Phase Transition and Profit Singularities in Arnold's Model. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-05-058

Conference or Workshop Item

Davydov, A.A. & Melnikov, N.B. (2007). Limit cycle bifurcation in thermohaline convection box-model. In: International Conference "Analysis and Singularities", 20-24 August 2007.

Davydov, A.A. & Melnikov, N.B. (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.