Edit Profile (opens in new tab) Burov, Aleksandr Anatol’evich Compute Distance To: Compute Author ID: burov.aleksandr-anatolevich Published as: Burov, A. A.; Burov, Alexander A.; Burov, Aleksandr Anatol’evich; Burov, Alexander; Bourov, A.; Burov, A.; Burov, Aleksandr A. more...less External Links: ORCID · Math-Net.Ru Documents Indexed: 66 Publications since 1984 4 Contributions as Editor Co-Authors: 22 Co-Authors with 45 Joint Publications 175 Co-Co-Authors all top 5 Co-Authors 25 single-authored 9 Nikonov, Vasiliĭ Ivanovich 8 Stepanov, S. Ya. 7 Kosenko, Ivan Ivanovich 6 Chevallier, Dominique P. 6 Guerman, Anna D. 4 Karapetyan, Aleksandr Vladilenovich 4 Troger, Hans 2 German, Anna Dmitrievna 2 Subkhankulov, G. I. 2 Sulikashvili, R. S. 1 Abrareva, E. V. 1 Flotte, I. 1 Kozhevnikov, Ivan F. 1 Motte, I. 1 Nikonova, E. A. 1 Pascal, Madeleine 1 Raspopova, Ekaterina Aleksandrovna 1 Rubanovskij, V. N. 1 Ryzhov, Oleg Sergeevich 1 Shalimova, Ekaterina Sergeevna 1 Sławianowski, Jan Jerzy 1 Yakushev, Il’ya Anatol’evich all top 5 Serials 17 Journal of Applied Mathematics and Mechanics 11 Prikladnaya Matematika i Mekhanika 4 Regular and Chaotic Dynamics 4 Nelineĭnaya Dinamika 3 Celestial Mechanics and Dynamical Astronomy 2 Moscow University Mechanics Bulletin 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Russian Journal of Nonlinear Dynamics 1 Acta Mechanica 1 Moscow University Mathematics Bulletin 1 Reports on Mathematical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Teorijska i Primenjena Mehanika 1 Computational Mathematics and Mathematical Physics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Mathematical Sciences (New York) 1 Doklady Physics all top 5 Fields 64 Mechanics of particles and systems (70-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 4 General and overarching topics; collections (00-XX) 4 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 98 times in 77 Documents Cited by ▼ Year ▼ Problems in the investigation of the stability and stabilization of motion. (Задачи исследования устойчивости и стабилизации движения.) Zbl 1290.70002 16 2013 Non-integrability of the equation of plane oscillations of a satellite on an elliptic orbit. Zbl 0598.70033Burov, A. A. 8 1984 “Bounded” statement of the problem on a heavy solid motion. Zbl 1122.70309Burov, A. A. 5 2004 Poisson variations in the problem of the stability of equilibria in rigid body mechanics. Zbl 1272.70030Burov, A. A. 5 2010 Dynamics of affinely deformable bodies from the standpoint of theoretical mechanics and differential geometry. Zbl 1172.74005Burov, A. A.; Chevallier, D. P. 5 2008 On the motion of a solid in a magnetic field. Zbl 0631.70002Burov, A. A.; Subkhankulov, G. I. 4 1986 On bifurcations of relative equilibria of a heavy bead sliding with dry friction on a rotating circle. Zbl 1397.70032Burov, A. A. 4 2010 On the motion of a rigid body carrying a movable mass on the spring. Zbl 0850.70092Burov, A. A. 4 1987 The existence and stability of the equilibria of mechanical systems with constraints produced by large potential forces. Zbl 1067.70501Burov, A. A. 4 2003 Problems in the investigation of the stability and stabilization of motion. (Задачи исследования устойчивости и стабилизации движения.) Zbl 1236.70002 3 2009 The motion of a solid in a flow of particles. Zbl 0798.70006Burov, A. A.; Karapetyan, A. V. 3 1993 Bifurcations of the relative equilibria of a heavy bead on a rotating hoop with dry friction. Zbl 1432.70034Burov, A. A.; Yakushev, I. A. 3 2014 On motion of rigid bodies on a spherical surface. Zbl 1137.70333Burov, A. A.; Stepanov, S. Ya.; Motte, I. 3 1999 The motion of cross-shaped bodies around a fixed point in a central Newtonian force field. Zbl 0890.70005Burov, A. A. 3 1996 On the existence of additional integrals of the equations of motion of a magnetizable solid in an ideal fluid, in the presence of a magnetic field. Zbl 0584.73061Burov, A. A.; Subkhankulov, G. I. 2 1985 On the non-existence of the additional integral in the problem of the motion of a heavy rigid ellipsoid along a smooth plane. Zbl 0596.70004Burov, A. A.; Karapetyan, A. V. 2 1985 The orbital motion of a tetrahedral gyrostat. Zbl 1272.70121Burov, A. A.; Guerman, A. D.; Sulikashvili, R. S. 2 2010 The steady motions of gyrostats with equal moments of inertia in a central force field. Zbl 1272.70009Burov, A. A.; Guerman, A. D.; Sulikashvili, R. S. 2 2011 On a general solution of equations of the Kirchhoff-Clebsch type. Zbl 0850.70261Burov, A. A.; Rubanovskij, V. N. 2 1987 On stability and bifurcations of steady motions of a dumbbell in a sphere. Zbl 1154.70325Burov, A. A.; Flotte, I.; Slawianowski, J. J.; Stepanov, S. Ya. 2 2006 On the gravity of dumbbell-like bodies represented by a pair of intersecting balls. Zbl 1393.70035Burov, Aleksandr Anatol’evich; German, Anna Dmitrievna; Kosenko, Ivan Ivanovich; Nikonov, Vasiliĭ Ivanovich 2 2017 Necessary stability conditions for steady-state motions of systems with constraints realized by large potential forces. Zbl 1122.70334Burov, A. A. 1 2004 Nonintegrability of the equation of plane oscillations of a satellite in an elliptic orbit. Zbl 0653.70028Burov, A. A. 1 1984 First integrals in the problem on a heavy solid motion around a fixed point in the presence of unilateral constraint. Zbl 1100.70501Burov, A. A. 1 2005 On the non-existence of a supplementary integral in the problem of a heavy two-link plane pendulum. Zbl 0626.70006Burov, A. A. 1 1986 Stability and branching of stationary rotations in a planar problem of motion of mutually gravitating triangle and material point. Zbl 1371.70053Burov, Aleksandr Anatol’evich; Nikonov, Vasiliĭ Ivanovich 1 2016 Motion of a body with a plane of symmetry on a three-dimensional sphere under the action of a spherical analog of Newtonian attraction. Zbl 1187.70011Burov, A. A. 1 2008 On relative equilibria of an orbital station in regions near the triangular libration points. Zbl 1379.70059Burov, A. A.; Kosenko, I. I. 1 2007 Solid motion in a liquid under the action of central Newtonian attraction forces. Zbl 1051.70527Burov, A. A.; Chevallier, D. P. 1 2001 Inertial characteristics of higher orders and dynamics in a proximity of a small celestial body. Zbl 1459.70033Burov, Aleksandr A.; Nikonov, Vasiliĭ I. 1 2020 The Lagrange differential-algebraic equations. Zbl 1432.70039Burov, A. A.; Kosenko, I. I. 1 2014 On Routh reduction and its application in rigid body dynamics. Zbl 0910.70009Bourov, A.; Chevallier, D. 1 1998 The relative equilibria of an orbital pendulum suspended on a tether. Zbl 0982.70014Burov, A. A.; Troger, H. 1 2000 The gyroscopic stability of the triangular stationary solutions of the generalized planar three-body problem. Zbl 0982.70009Burov, A. A.; Pascal, M.; Stepanov, S. Ya. 1 2000 On the motion of a one-dimensional oscillator in a field with periodic potential. Zbl 0542.34031Burov, A. A. 1 1984 Inertial characteristics of higher orders and dynamics in a proximity of a small celestial body. Zbl 1459.70033Burov, Aleksandr A.; Nikonov, Vasiliĭ I. 1 2020 On the gravity of dumbbell-like bodies represented by a pair of intersecting balls. Zbl 1393.70035Burov, Aleksandr Anatol’evich; German, Anna Dmitrievna; Kosenko, Ivan Ivanovich; Nikonov, Vasiliĭ Ivanovich 2 2017 Stability and branching of stationary rotations in a planar problem of motion of mutually gravitating triangle and material point. Zbl 1371.70053Burov, Aleksandr Anatol’evich; Nikonov, Vasiliĭ Ivanovich 1 2016 Bifurcations of the relative equilibria of a heavy bead on a rotating hoop with dry friction. Zbl 1432.70034Burov, A. A.; Yakushev, I. A. 3 2014 The Lagrange differential-algebraic equations. Zbl 1432.70039Burov, A. A.; Kosenko, I. I. 1 2014 Problems in the investigation of the stability and stabilization of motion. (Задачи исследования устойчивости и стабилизации движения.) Zbl 1290.70002 16 2013 The steady motions of gyrostats with equal moments of inertia in a central force field. Zbl 1272.70009Burov, A. A.; Guerman, A. D.; Sulikashvili, R. S. 2 2011 Poisson variations in the problem of the stability of equilibria in rigid body mechanics. Zbl 1272.70030Burov, A. A. 5 2010 On bifurcations of relative equilibria of a heavy bead sliding with dry friction on a rotating circle. Zbl 1397.70032Burov, A. A. 4 2010 The orbital motion of a tetrahedral gyrostat. Zbl 1272.70121Burov, A. A.; Guerman, A. D.; Sulikashvili, R. S. 2 2010 Problems in the investigation of the stability and stabilization of motion. (Задачи исследования устойчивости и стабилизации движения.) Zbl 1236.70002 3 2009 Dynamics of affinely deformable bodies from the standpoint of theoretical mechanics and differential geometry. Zbl 1172.74005Burov, A. A.; Chevallier, D. P. 5 2008 Motion of a body with a plane of symmetry on a three-dimensional sphere under the action of a spherical analog of Newtonian attraction. Zbl 1187.70011Burov, A. A. 1 2008 On relative equilibria of an orbital station in regions near the triangular libration points. Zbl 1379.70059Burov, A. A.; Kosenko, I. I. 1 2007 On stability and bifurcations of steady motions of a dumbbell in a sphere. Zbl 1154.70325Burov, A. A.; Flotte, I.; Slawianowski, J. J.; Stepanov, S. Ya. 2 2006 First integrals in the problem on a heavy solid motion around a fixed point in the presence of unilateral constraint. Zbl 1100.70501Burov, A. A. 1 2005 “Bounded” statement of the problem on a heavy solid motion. Zbl 1122.70309Burov, A. A. 5 2004 Necessary stability conditions for steady-state motions of systems with constraints realized by large potential forces. Zbl 1122.70334Burov, A. A. 1 2004 The existence and stability of the equilibria of mechanical systems with constraints produced by large potential forces. Zbl 1067.70501Burov, A. A. 4 2003 Solid motion in a liquid under the action of central Newtonian attraction forces. Zbl 1051.70527Burov, A. A.; Chevallier, D. P. 1 2001 The relative equilibria of an orbital pendulum suspended on a tether. Zbl 0982.70014Burov, A. A.; Troger, H. 1 2000 The gyroscopic stability of the triangular stationary solutions of the generalized planar three-body problem. Zbl 0982.70009Burov, A. A.; Pascal, M.; Stepanov, S. Ya. 1 2000 On motion of rigid bodies on a spherical surface. Zbl 1137.70333Burov, A. A.; Stepanov, S. Ya.; Motte, I. 3 1999 On Routh reduction and its application in rigid body dynamics. Zbl 0910.70009Bourov, A.; Chevallier, D. 1 1998 The motion of cross-shaped bodies around a fixed point in a central Newtonian force field. Zbl 0890.70005Burov, A. A. 3 1996 The motion of a solid in a flow of particles. Zbl 0798.70006Burov, A. A.; Karapetyan, A. V. 3 1993 On the motion of a rigid body carrying a movable mass on the spring. Zbl 0850.70092Burov, A. A. 4 1987 On a general solution of equations of the Kirchhoff-Clebsch type. Zbl 0850.70261Burov, A. A.; Rubanovskij, V. N. 2 1987 On the motion of a solid in a magnetic field. Zbl 0631.70002Burov, A. A.; Subkhankulov, G. I. 4 1986 On the non-existence of a supplementary integral in the problem of a heavy two-link plane pendulum. Zbl 0626.70006Burov, A. A. 1 1986 On the existence of additional integrals of the equations of motion of a magnetizable solid in an ideal fluid, in the presence of a magnetic field. Zbl 0584.73061Burov, A. A.; Subkhankulov, G. I. 2 1985 On the non-existence of the additional integral in the problem of the motion of a heavy rigid ellipsoid along a smooth plane. Zbl 0596.70004Burov, A. A.; Karapetyan, A. V. 2 1985 Non-integrability of the equation of plane oscillations of a satellite on an elliptic orbit. Zbl 0598.70033Burov, A. A. 8 1984 Nonintegrability of the equation of plane oscillations of a satellite in an elliptic orbit. Zbl 0653.70028Burov, A. A. 1 1984 On the motion of a one-dimensional oscillator in a field with periodic potential. Zbl 0542.34031Burov, A. A. 1 1984 all cited Publications top 5 cited Publications all top 5 Cited by 84 Authors 23 Burov, Aleksandr Anatol’evich 8 Nikonov, Vasiliĭ Ivanovich 6 Guerman, Anna D. 4 Borisov, Alekseĭ Vladimirovich 4 Kosenko, Ivan Ivanovich 3 Rożko, Ewa Eliza 3 Rubanovskij, V. N. 3 Shalimova, Ekaterina Sergeevna 3 Shamolin, Maksim Vladimirovich 3 Sławianowski, Jan Jerzy 2 Amer, Tarek S. 2 Balandin, Dmitriĭ Vladimirovich 2 Ebel, A. A. 2 Gołubowska, Barbara 2 Mamaev, Ivan Sergeevich 2 Sulikashvili, R. S. 2 Tsyganov, Andreĭ Vladimirovich 1 Al-Isawi, J. K. T. 1 Andreĭchenko, Dmitriĭ Konstantinovich 1 Antonenko, Nina Nikolayevna 1 Celletti, Alessandra 1 Chentsov, Aleksandr Georgievich 1 Dilão, Rui 1 Doroshin, Anton V. 1 Dovbysh, Sergeĭ A. 1 El-Ameen, M. A. 1 El Banna, S. A. 1 Erkebaev, Ulukbek Zairbekovich 1 Eroftiev, A. A. 1 Gavrilova, Ol’ga Vital’evna 1 Gerasimov, D. O. 1 German, Anna Dmitrievna 1 Golubev, E. V. 1 Gorr, Gennadiĭ Viktorovich 1 Gurevich, S. Yu. 1 Hasan, Faza Lafta 1 Ivochkin, M. Yu 1 Kadchenko, Sergeĭ Ivanovich 1 Karapetyan, Aleksandr Vladilenovich 1 Karasev, O. V. 1 Keller, Alevtina Viktorovna 1 Kholostova, Ol’ga Vladimirovna 1 Khromova, Galina Vladimirovna 1 Kilin, Aleksandr Aleksandrovich 1 Klimina, Lyubov’ Aleksandrovna 1 Kotowski, Romuald K. 1 Kovalchuk, Vasyl 1 Krasil’nikov, Pavel Sergeevich 1 Krause, Andrew L. 1 Kuleshov, Alexander S. 1 Kwiecinski, James A. 1 Limonchenko, Ivan Yur’evich 1 Lokshin, Boris Yakovlevich 1 Malanov, S. B. 1 Markeev, Anatoliĭ Pavlovich 1 Marsden, Jerrold Eldon 1 Martens, Agnieszka 1 Melnichuk, Dmitry V. 1 Mukharlyamov, Robert Garabshevich 1 Munitsina, M. A. 1 Murteira, Manuel 1 Petrov, Yuri V. 1 Planella, Ferran Brosa 1 Raspopova, Ekaterina Aleksandrovna 1 Rodnikov, Aleksandr Vladimirovich 1 Sagadeeva, Minzilya Almasovna 1 Samsonov, Vitaly A. 1 Scheurle, Jürgen 1 Sidorenko, Vladislav V. 1 Solodusha, Svetlana Vital’evna 1 Steindl, Alois 1 Stepanov, S. Ya. 1 Subkhankulov, G. I. 1 Suslov, K. V. 1 Tatarinov, Ya. V. 1 Teofilatto, Paolo 1 Torshina, Ol’ga Anatol’evna 1 Trynin, Aleksandr Yur’evich 1 Tursunov, Dilmurat Abdillazhanovich 1 Utkin, G. A. 1 van Gorder, Robert Ashton 1 Yakushev, Il’ya Anatol’evich 1 Zaitsev, Vasilii Alexandrovich 1 Zamyshlyaeva, Alena Aleksandrovna all top 5 Cited in 29 Serials 18 Journal of Applied Mathematics and Mechanics 6 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 5 Prikladnaya Matematika i Mekhanika 4 Celestial Mechanics and Dynamical Astronomy 4 Journal of Mathematical Sciences (New York) 4 Regular and Chaotic Dynamics 4 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 3 Reports on Mathematical Physics 3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 3 Nelineĭnaya Dinamika 2 Moscow University Mechanics Bulletin 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 2 Russian Journal of Nonlinear Dynamics 1 Acta Mechanica 1 Journal of Mathematical Analysis and Applications 1 Chaos, Solitons and Fractals 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Computer and Systems Sciences International 1 Russian Journal of Mathematical Physics 1 Nonlinear Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Applied Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Journal of Computational and Engineering Mathematics 1 Mechanics of Solids all top 5 Cited in 23 Fields 54 Mechanics of particles and systems (70-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of deformable solids (74-XX) 6 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year