Davydov AA, Manh HD (2013)
Singularities of the attainable set on an orientable surface with boundary
Journal of Mathematical Sciences, 188(3):185-196 (January 2013) More
Davydov AA, Zakalyukin VM (2012)
Controllability of non-linear systems: Generic singularities and their stability
Russian Mathematical Surveys, 67(2):255-280 More
Davydov AA, Platov AS (2012)
Optimal stationary solution in forest management model by accounting intra-species competition
Moscow Mathematical Journal, 12(2):269-273 (April-June 2012) More
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