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 More
Davydov AA, Platov AS (2011)
Optimization of stationary solution of a model of size-structured population exploitation
Mathematical Sciences, 176(6):860-869 (August 2011) More
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, Ural Branch of Russian Academy of Sciences, 17(2):80-87 More
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 More
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 (February 2010) More
Davydov AA, Pastres R, Petrenko I (2010)
Optimization of the Spatial Distribution of Pollution Emission in Water Bodies
IIASA Interim Report IR-10-002 (March 2010) More
Davydov AA, Komarov MA (2008)
Local controllability bifurcations in families of bidynamical systems on the plane
Proceedings of the Steklov Institute of Mathematics, 261:84-93 [2008] More
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 (15 October 2008) More
Davydov AA, Kukshina EO (2008)
Typical profit singularities of one-parametric cyclic process with fixed period
Optimization, 2(2)1-10 [2008] More
Davydov AA, Mena-Matos H (2007)
Generic phase transitions and profit singularities in Arnol'd's model
Sbornik: Mathematics, 198(1):21-42 [2007] More
Grishina YA, Davydov AA (2007)
Structural stability of simplest dynamical inequalities
Proceedings of the Steklov Institute of Mathematics, 256(1):80-91 2007 More
Davydov AA, Melnikov NB (2007)
Andronov-Hopf bifurcation in simple double diffusion models
Russian Mathematical Surveys, 62:382-384 [2007] More
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 [2007] More
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, J-P. Brasselet, J. Damon, L.D.Trang, M. Oka (eds)
World Scientific Publishing Co. Pte. Ltd., Singapore pp. 598-628 [2007] More
Davydov AA, Melnikov NB (2007)
Limit cycle bifurcation in thermohaline convection box-model
International Conference "Analysis and Singularities",
20-24 August 2007 Moscow, Russia [2007] More
Davydov AA, Melnikov NB (2007)
Limit cycle oscillations in thermohaline circulation box model with turbulent fluxes
The 7th International Conference on Differential Equations EQUADIFF,
5-11 August 2007 Vienna, Austria [2007] More
Davydov AA, Melnikov NB (2006)
Existence of Self-sustained Oscillations in an Ocean Circulation Box Model with Turbulent Fluxes
IIASA Interim Report IR-06-049 (November 2006) More
Arnold VI, Davydov AA, Vassiliev VA, Zakalyukin VM (2006)
Mathematical Models of Catastrophes. Control of Catastrophic Processes
IIASA Reprint RP-06-007 (June 2006) More
Davydov AA, Mena-Matos H (2005)
Generic Phase Transition and Profit Singularities in Arnold's Model
IIASA Interim Report IR-05-058 (December 2005) More