А. А. Давыдов

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All published works

Action	Title	Year	Authors
+	Stationary States in Population Dynamics with Migration and Distributed Offspring	2024	А. А. Давыдов Kh. A. Khachatryan
+ PDF Chat	Stationary states in population dynamics with migration and distributed offspring	2023	А. А. Давыдов Kh. A. Khachatryan
+	On Solutions of a System of Nonlinear Integral Equations of Convolution Type on the Entire Real Line	2023	А. А. Давыдов Kh. A. Khachatryan H. S. Petrosyan
+	Existence of a Maximum of Time-Averaged Harvesting in the KPP Model on Sphere with Permanent and Impulse Harvesting	2023	E. V. Vinnikov А. А. Давыдов Dmitry Vasilievich Tunitsky
+	On Solutions of a System of Nonlinear Integral Equations of Convolution Type on the Entire Real Line	2023	А. А. Давыдов Kh. A. Khachatryan H. S. Petrosyan
+	Optimal States of Distributed Exploited Populations with Periodic Impulse Harvesting	2021	А. А. Давыдов D. A. Melnik
+ PDF Chat	Optimal steady state of distributed population in periodic environment	2021	А. А. Давыдов
+	Existence of Optimal Stationary States of Exploited Populations with Diffusion	2020	А. А. Давыдов
+ PDF Chat	HOPF ALGEBRA ACTIONS IN TENSOR CATEGORIES	2020	Maarten Bischoff А. А. Давыдов
+ PDF Chat	On structural stability of dynamic inequalities	2019	А. А. Давыдов Yulia Skinder
+	On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi—Cibrario Type Equation	2019	А. А. Давыдов Yu. A. Kasten
+ PDF Chat	Normal forms of linear second order partial differential equations on the plane	2018	А. А. Давыдов
+	Stability of controllability of dynamic inequalities	2018	А. А. Давыдов
+	Optimal cyclic harvesting of renewable resource	2017	Anton O. Belyakov А. А. Давыдов Vladimir M. Veliov
+	On the uniqueness of a positive stationary state in the dynamics of a population with asymmetric competition	2015	А. А. Давыдов Amer Fadhel Nassar
+	Dmitrii Viktorovich Anosov (obituary)	2015	С.М. Асеев Victor Matveevich Buchstaber Rostislav Grigorchuk В. З. Гринес Boris Marcovich Gurevich А. А. Давыдов A. Yu. Zhirov Е. В. Жужома M. I. Zelikin A. Katok
+ PDF Chat	Stationary Regime of Exploitation of Size-Structured Population with Hierarchical Competition	2015	А. А. Давыдов Amer Fadhel Nassar
+ PDF Chat	Дмитрий Викторович Аносов (некролог)	2015	С.М. Асеев Victor Matveevich Buchstaber Rostislav Grigorchuk В. З. Гринес Boris Marcovich Gurevich А. А. Давыдов Aleksei Yur'evich Zhirov Е. В. Жужома M. I. Zelikin Анатолий Борисович Каток
+	Algorithm for Multilevel Mesh Adaptation with Waveled-Based Criteria for Gas Dynamic Problems	2015	А. Л. Афендиков А. А. Давыдов Igor Men’shov K D Merkulov A V Plenkin
+ PDF Chat	Optimal exploitation of two competing size-structured populations	2014	А. А. Давыдов Anton Platov
+	Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems	2014	А. А. Давыдов Helena Mena-Matos Célia Sofia Moreira
+	Optimal Stationary Solution for a Model of Exploitation of a Population Under Intraspecific Competition	2014	А. А. Давыдов Anton Platov
+	Optimal stationary exploitation of size-structured population with intra-specific competition	2014	А. А. Давыдов Anton Platov
+ PDF Chat	Generic Profit Singularities of One-Parameter Cyclic Processes with Discount	2013	А. А. Давыдов T. S. Shutkina
+ PDF Chat	A BRAIDED MONOIDAL CATEGORY FOR SYMPLECTIC FERMIONS	2013	А. А. Давыдов А. А. Давыдов
+	Vladimir Mikhailovich Zakalyukin (obituary)	2012	Andrei Agrachev D. V. Anosov I. A. Bogaevskii A. S. Bortakovskii Ali Budak V. A. Vassiliev Viktor Vladimirovich Goryunov S. M. Gusein‐Zade А. А. Давыдов V R Zarodov
+	Controllability of non-linear systems: generic singularities and their stability	2012	А. А. Давыдов V. M. Zakalyukin
+ PDF Chat	Uniqueness of a cycle with discounting that is optimal with respect to the average time profit	2012	А. А. Давыдов T. S. Shutkina
+	Normal forms for families of linear equations of mixed type near non-resonant folded singular points	2011	А. А. Давыдов Linh Trinh Thi Diep
+	Reduction theorem and normal forms of linear second order mixed type PDE families in the plane	2011	А. А. Давыдов Linh Trinh Thi Diep
+	Existence and uniqueness of a stationary distribution of a biological community	2009	А. А. Давыдов V. I. Danchenko M. Yu. Zvyagin
+	Local controllability bifurcations in families of bidynamical systems on the plane	2008	А. А. Давыдов М. А. Комаров
+	Typical profit singularities of one-parametric cyclic process with fixed period	2008	А. А. Давыдов E. O. Kukshina
+ PDF Chat	Generic singularities of implicit systems of first order differential equations on the plane	2008	А. А. Давыдов Goo Ishikawa S. Izumiya Weijia Sun
+	Soft loss of stability in an ocean circulation box model with turbulent fluxes	2007	А. А. Давыдов Nikolai B. Melnikov
+	Structural stability of simplest dynamical inequalities	2007	Yu. A. Grishina А. А. Давыдов
+	Generic phase transitions and profit singularities in Arnol'd's model	2007	А. А. Давыдов Helena Mena-Matos
+	SINGULARITY THEORY APPROACH TO TIME AVERAGED OPTIMIZATION	2007	А. А. Давыдов Helena Mena-Matos
+ PDF Chat	Бифуркация Андронова - Хопфа в простых моделях двойной диффузии	2007	Алексей Александрович Давыдов А. А. Давыдов Nikolai B. Melnikov Nikolai B. Melnikov Nikolai B. Melnikov Nikolai B. Melnikov
+ PDF Chat	Типичные фазовые переходы и особенности выгоды в модели Арнольда	2007	Алексей Александрович Давыдов А. А. Давыдов Алексей Александрович Давыдов А. А. Давыдов Елена Мена Матош Helena Mena-Matos
+ PDF Chat	Local controllability of generic dynamic inequalities	2006	А. А. Давыдов J. Basto-Gonçalves
+	Whitney umbrella and slow-motion bifurcations of relaxation-type equations	2005	А. А. Давыдов
+ PDF Chat	Whitney umbrella and slow-motion bifurcations of relaxation-type equations	2005	А. А. Давыдов
+	Generic singularities of implicit systems of first order differential equations on the plane	2003	А. А. Давыдов Goo Ishikawa S. Izumiya Weijia Sun
+	Generic singularities of implicit systems of first order differential equations on the plane	2003	А. А. Давыдов Goo Ishikawa S. Izumiya Weijia Sun
+	None	2001	А. А. Давыдов J. Basto-Gon ̧alves
+	None	2001	А. А. Давыдов Hubertus Th. Jongen
+	Controllability of inequalities at 2-singular points	2000	А. А. Давыдов J. Basto-Gonçalves
+ PDF Chat	Classification of relative minima singularities	1999	А. А. Давыдов V. M. Zakalyukin
+	Point singularities of a conditional minimum on a three-dimensional manifold	1998	А. А. Давыдов V. M. Zakalyukin
+	Normal forms of folded elementary singular points	1995	А. А. Давыдов L Ortiz-Bobadil'ya
+	Smooth normal forms of folded elementary singular points	1995	А. А. Давыдов Laura Ortiz-Bobadilla
+	STRUCTURAL STABILITY OF CONTROL SYSTEMS ON ORIENTABLE SURFACES	1992	А. А. Давыдов
+	THE NORMAL FORM OF SLOW MOTIONS OF AN EQUATION OF RELAXATION TYPE AND FIBRATIONS OF BINOMIAL SURFACES	1988	А. А. Давыдов
+	The normal form of slow motions of an equation of relaxation type and fibrations of binomial surfaces	1988	А. А. Давыдов
+	Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point	1985	А. А. Давыдов

Common Coauthors

Coauthor	Papers Together
Kh. A. Khachatryan	4
Helena Mena-Matos	4
Goo Ishikawa	3
Anton Platov	3
Weijia Sun	3
S. Izumiya	3
V. M. Zakalyukin	3
M. I. Monastyrskiǐ	2
Alexey Klimenko	2
Boris Marcovich Gurevich	2
Rostislav Grigorchuk	2
V. P. Leksin	2
Алексей Александрович Давыдов	2
Linh Trinh Thi Diep	2
Е. В. Жужома	2
Victor Matveevich Buchstaber	2
T. S. Shutkina	2
А. И. Нейштадт	2
J. Basto-Gonçalves	2
Nikolai B. Melnikov	2
Amer Fadhel Nassar	2
В. З. Гринес	2
H. S. Petrosyan	2
С.М. Асеев	2
M. I. Zelikin	2
М. А. Комаров	1
V. A. Vassiliev	1
Viktor Vladimirovich Goryunov	1
Laura Ortiz-Bobadilla	1
A. S. Bortakovskii	1
D. V. Anosov	1
V R Zarodov	1
Igor Men’shov	1
K D Merkulov	1
Andrei Agrachev	1
S. M. Gusein‐Zade	1
Елена Мена Матош	1
Aleksei Yur'evich Zhirov	1
A. Yu. Zhirov	1
Анатолий Борисович Каток	1
Hubertus Th. Jongen	1
A. Katok	1
Ya. G. Sinaĭ	1
Анатолий Михайлович Степин	1
A. M. Stëpin	1
I. A. Bogaevskii	1
A V Plenkin	1
Сергей Петрович Новиков	1
L Ortiz-Bobadil'ya	1
J. Basto-Gon ̧alves	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Ordinary Differential Equations	2017	John M. Stewart	8
+ PDF Chat	Singularities of Differentiable Maps	1985	Vladimir I. Arnold S. M. Guseĭn-Zade Alexander Varchenko	6
+	Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point	1985	А. А. Давыдов	6
+	Stable mappings and their singularities	1973	Martin Golubitsky Victor Guillemin	6
+	Non-classical equations of mixed type and their applications in gas dynamics	1992	Alexander Kuzmin	5
+	Generic phase transitions and profit singularities in Arnol'd's model	2007	А. А. Давыдов Helena Mena-Matos	5
+	Singularities of the maximum of a parametrically dependent function	1977	L. N. Bryzgalova	5
+	Geometrical Methods in the Theory of Ordinary Differential Equations	1988	V. I. Arnold	5
+	On a Variational Problem Connected with Phase Transitions of Means in Controllable Dynamical Systems	2002	Vladimir I. Arnold	5
+	Generic Projections	1973	John N. Mather	5
+	STRUCTURAL STABILITY OF CONTROL SYSTEMS ON ORIENTABLE SURFACES	1992	А. А. Давыдов	5
+	Thresholds and travelling waves for the geographical spread of infection	1978	Odo Diekmann	4
+	Analysis of the periodically fragmented environment model : I – Species persistence	2005	Henri Berestycki François Hamel Lionel Roques	4
+	Singularities of convex hulls of smooth manifolds	1978	V. M. Zakalyukin	4
+	Structural stability of simplest dynamical inequalities	2007	Yu. A. Grishina А. А. Давыдов	4
+	Existence of Optimal Stationary States of Exploited Populations with Diffusion	2020	А. А. Давыдов	4
+ PDF Chat	Singularities of the maximum function over a preimage	1995	Aleksey Davydov	3
+	Structural stability on two-dimensional manifolds	1962	M. M. Peixoto	3
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	3
+	Structural Stability of Asymptotic Lines on Surfaces Immersed in R3	1999	Ronaldo Garcia Carlos Gutiérrez Jorge Sotomayor	3
+ PDF Chat	Infinite time optimal control and periodicity	1989	Fritz Colonius Wolfgang Kliemann	3
+	Singularites generiques des equations differentielles multiformes	1975	Lak Dara	3
+	THE NORMAL FORM OF SLOW MOTIONS OF AN EQUATION OF RELAXATION TYPE AND FIBRATIONS OF BINOMIAL SURFACES	1988	А. А. Давыдов	3
+	SINGULARITY THEORY APPROACH TO TIME AVERAGED OPTIMIZATION	2007	А. А. Давыдов Helena Mena-Matos	3
+	Principles of mathematical analysis	1964	Walter Rudin	3
+	Elements of the Theory of Functions and Functional Analysis	1961	Andrej Nikolaevich Kolmogorov Sergey Fomin	3
+	On the contribution of N.N. Bogolyubov to the theory of dynamical systems	1994	D. V. Anosov	2
+	Generic Singularities of the Optimal Averaged Profit among Stationary Strategies	2007	Helena Mena-Matos Célia Sofia Moreira	2
+	Existence and uniqueness of a stationary distribution of a biological community	2009	А. А. Давыдов V. I. Danchenko M. Yu. Zvyagin	2
+ PDF Chat	On Trajectories Entirely Situated Near a Hyperbolic Set	2014	D. V. Anosov	2
+	Local maximality of hyperbolic sets	2011	D. V. Anosov	2
+	On the geometry of hyperbolic attractors of smooth cascades	1984	Romen V Plykin	2
+ PDF Chat	Nielsen numbers of maps of tori	1975	Robin B. S. Brooks Robert F. Brown Jingyal Pak Douglas H. Taylor	2
+	EXISTENCE OF SMOOTH ERGODIC FLOWS ON SMOOTH MANIFOLDS	1974	D. V. Anosov	2
+	Constrained equations; a study of implicit differential equations and their discontinuous solutions	1976	Floris Takens	2
+	Local controllability in 3-manifolds	1990	J. Basto Gonçalves	2
+ PDF Chat	On the bounded solutions of a nonlinear convolution equation	1978	Odo Diekmann Hans G. Kaper	2
+	CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY	1977	Ya. B. Pesin	2
+	The Unfolding and Determinacy Theorems for Subgroups of A and K	1984	James Damon	2
+	ON GENERIC PROPERTIES OF CLOSED GEODESICS	1983	D. V. Anosov	2
+	Renewal equation on the whole line	2000	N. B. Yengibarian	2
+ PDF Chat	Book Review: Singularities of differentiable maps, Vol. 1. The classification of critical sets, caustics and wave fronts	1987	C. T. C. Wall	2
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	2
+	Singular points of smooth mappings	1979	C. G. Gibson	2
+	Holonomic systems of Clairaut type	1995	Shyūichi Izumiya Yasuhiro Kurokawa	2
+ PDF Chat	On the geometry and dynamics of diffeomorphisms of surfaces	1988	William P. Thurston	2
+	Normal forms for families of linear equations of mixed type near non-resonant folded singular points	2011	А. А. Давыдов Linh Trinh Thi Diep	2
+	On the development of the theory of dynamical systems during the past quarter century	2005	D. V. Anosov	2
+	The topological classification of germs of the maximum and minimax functions of a family of functions in general position	1982	V. I. Matov	2
+	Implicit ordinary differential equations: bifurcations and sharpening of equivalence	2014	Ilya Aleksandrovich Bogaevsky	2