Edit Profile (opens in new tab) Sumbatov, A. S. Co-Author Distance Author ID: sumbatov.a-s Published as: Sumbatov, A. S. External Links: MGP Documents Indexed: 36 Publications since 1970, including 1 Book 1 Further Contribution Co-Authors: 3 Co-Authors with 4 Joint Publications 40 Co-Co-Authors all top 5 Co-Authors 33 single-authored 2 Rumyantsev, Valentin Vital’evich 1 Atanackovic, Teodor M. 1 Benenti, Sergio 1 Blinov, A. P. 1 Capodanno, Pierre 1 Đukić, Đorđe Slavka 1 Francaviglia, Mauro 1 Henneaux, Marc 1 Kalnins, Ernest G. 1 Kharlamov, Mikhail Pavlovich 1 Kharlamov, Pavel Vasil’evich 1 Lacomba, Ernesto A. 1 Leach, P. G. L. 1 Lewis, H. Ralph 1 Lichnerowicz, Andre 1 Losco, Lucette 1 Magri, Franco 1 Mei, Fengxiang 1 Miller, Willard jun. 1 Morosi, Carlo 1 Novikov, Sergeĭ Petrovich 1 Pignedoli, Antonio 1 Pironneau, Y. 1 Prince, Geoff E. 1 Roubanovsky, V. N. 1 Salvadori, Luigi 1 Sarlet, Willy 1 Schiehlen, Werner O. 1 Schräpel, H. D. 1 Sedov, Leonid Ivanovich 1 Sutela, Tytti 1 Wittenburg, Jens Peter 1 Yunin, E. K. all top 5 Serials 13 Journal of Applied Mathematics and Mechanics 4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Mechanics of Solids 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Prikladnaya Matematika i Mekhanika 1 Differentsial’nye Uravneniya 1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 1 Regular and Chaotic Dynamics all top 5 Fields 36 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 42 times in 39 Documents Cited by ▼ Year ▼ Nonholonomic systems. Zbl 1019.37043 Sumbatov, A. S. 6 2002 On the problem of a generalization of the Hamilton-Jacobi method for nonholonomic systems. Zbl 0395.70017 Rumyantsev, V. V.; Sumbatov, A. S. 6 1978 Selected problems of the mechanics of systems with dry friction. (Избранные задачи механики систем с сухим трением.) Zbl 1285.74002 Sumbatov, A. S.; Yunin, E. K. 6 2013 On the problem of determining the existence of ignorable coordinates in conservative dynamic systems. Zbl 0424.70022 Sumbatov, A. S. 3 1979 Integrals, linear in respect of velocities. Generalizations of Jacobi’s theorem. Zbl 0423.70003 Sumbatov, A. S. 2 1979 On Hamilton’s principle for non-holonomic systems. Zbl 0199.59901 Sumbatov, A. S. 2 1970 On linear integrals of equations of motion with coefficients of constraints. Zbl 0289.70014 Sumbatov, A. S. 2 1971 On uniform linear invariant relations of the equations of dynamics. Zbl 0618.70007 Sumbatov, A. S. 2 1986 On ignorable coordinates of conservative and natural systems with three degrees of freedom. Zbl 0497.70007 Sumbatov, A. S. 2 1981 On the linear integrals of the Chaplygin equations. Zbl 0499.70022 Sumbatov, A. S. 2 1981 The limiting motions of systems with dry friction. Zbl 0790.70015 Sumbatov, A. S. 1 1993 Solution of one of Birkhoff’s problems. Zbl 0445.70025 Sumbatov, A. S. 1 1980 On the theorem of areas. Zbl 0591.73028 Sumbatov, A. S. 1 1982 Nonextremality of families of curves defined by dynamic equations of nonholonomic Chaplygin systems. Zbl 0602.70015 Sumbatov, A. S. 1 1984 On rolling of a heavy disk on a surface of revolution with negative curvature. Zbl 1479.70040 Sumbatov, A. S. 1 2019 On the integrability of the Hamilton-Jacobi equation in generalized coordinates. Zbl 0505.70022 Sumbatov, A. S. 1 1982 Some invariant relations in the problem of the motion of a body on a smooth horizontal plane. Zbl 0691.70007 Sumbatov, A. S. 1 1988 On cyclic coordinates of conservative dynamical systems with two degrees of freedom. Zbl 0479.70018 Sumbatov, A. S. 1 1979 Developments of some Lagrange’s ideas in the works of Russian and Soviet mechanicians. Zbl 1180.70002 Sumbatov, A. S. 1 1992 On rolling of a heavy disk on a surface of revolution with negative curvature. Zbl 1479.70040 Sumbatov, A. S. 1 2019 Selected problems of the mechanics of systems with dry friction. (Избранные задачи механики систем с сухим трением.) Zbl 1285.74002 Sumbatov, A. S.; Yunin, E. K. 6 2013 Nonholonomic systems. Zbl 1019.37043 Sumbatov, A. S. 6 2002 The limiting motions of systems with dry friction. Zbl 0790.70015 Sumbatov, A. S. 1 1993 Developments of some Lagrange’s ideas in the works of Russian and Soviet mechanicians. Zbl 1180.70002 Sumbatov, A. S. 1 1992 Some invariant relations in the problem of the motion of a body on a smooth horizontal plane. Zbl 0691.70007 Sumbatov, A. S. 1 1988 On uniform linear invariant relations of the equations of dynamics. Zbl 0618.70007 Sumbatov, A. S. 2 1986 Nonextremality of families of curves defined by dynamic equations of nonholonomic Chaplygin systems. Zbl 0602.70015 Sumbatov, A. S. 1 1984 On the theorem of areas. Zbl 0591.73028 Sumbatov, A. S. 1 1982 On the integrability of the Hamilton-Jacobi equation in generalized coordinates. Zbl 0505.70022 Sumbatov, A. S. 1 1982 On ignorable coordinates of conservative and natural systems with three degrees of freedom. Zbl 0497.70007 Sumbatov, A. S. 2 1981 On the linear integrals of the Chaplygin equations. Zbl 0499.70022 Sumbatov, A. S. 2 1981 Solution of one of Birkhoff’s problems. Zbl 0445.70025 Sumbatov, A. S. 1 1980 On the problem of determining the existence of ignorable coordinates in conservative dynamic systems. Zbl 0424.70022 Sumbatov, A. S. 3 1979 Integrals, linear in respect of velocities. Generalizations of Jacobi’s theorem. Zbl 0423.70003 Sumbatov, A. S. 2 1979 On cyclic coordinates of conservative dynamical systems with two degrees of freedom. Zbl 0479.70018 Sumbatov, A. S. 1 1979 On the problem of a generalization of the Hamilton-Jacobi method for nonholonomic systems. Zbl 0395.70017 Rumyantsev, V. V.; Sumbatov, A. S. 6 1978 On linear integrals of equations of motion with coefficients of constraints. Zbl 0289.70014 Sumbatov, A. S. 2 1971 On Hamilton’s principle for non-holonomic systems. Zbl 0199.59901 Sumbatov, A. S. 2 1970 all cited Publications top 5 cited Publications all top 5 Cited by 52 Authors 6 Sumbatov, A. S. 4 Karapetyan, Aleksandr Vladilenovich 2 Bloch, Anthony Michael 2 Borisov, Alekseĭ Vladimirovich 2 Mamaev, Ivan Sergeevich 2 Mei, Fengxiang 2 Rumyantsev, Valentin Vital’evich 2 Shamin, Aleksandr Yu. 1 Ahmed, Naseer 1 Bizyaev, Ivan Alekseevich 1 Bulatović, Ranislav M. 1 Burov, Aleksandr Anatol’evich 1 Chen, Xiangwei 1 de León Rodríguez, Manuel 1 Fernandez, Oscar E. 1 Filippov, Vladimir Mikhaĭlovich 1 Fufaev, N. A. 1 Ghori, Q. K. 1 Ivanov, Aleksandr Pavlovich 1 Jia, Yanbin 1 Kalenova, Vera I. 1 Kažić, Mila 1 Kovacic, Ivana 1 Krishnaprasad, P.s. 1 Liu, Caishan 1 Llibre, Jaume 1 Luo, Shaokai 1 Malanov, S. B. 1 Markeev, Anatoliĭ Pavlovich 1 Marsden, Jerrold Eldon 1 Massa, Enrico 1 Mestdag, Tom 1 Mitrovic, Zoran 1 Morozov, Victor M. 1 Moshchuk, Nickolay K. 1 Murray, Richard M. 1 Pagani, Enrico M. 1 Ramírez, Rafael O. 1 Sadovskaia, Natalia 1 Šalinić, Slaviša 1 Salmina, M. A. 1 Savchin, Vladimir Mikhailovich 1 Semerdzhiev, Khr. I. 1 Shapovalov, I. L. 1 Shishkov, A. A. 1 Shorokhov, S. G. 1 Utkin, G. A. 1 Vilke, Vladimir G. 1 Vinogradova, O. A. 1 Xiong, Jiaming 1 Zekovich, D. N. 1 Zobova, Alexandra A. all top 5 Cited in 15 Serials 15 Journal of Applied Mathematics and Mechanics 3 Prikladnaya Matematika i Mekhanika 3 Applied Mathematics and Mechanics. (English Edition) 3 Regular and Chaotic Dynamics 2 Moscow University Mechanics Bulletin 2 Journal of Mathematical Sciences (New York) 2 Mechanics of Solids 2 Russian Journal of Nonlinear Dynamics 1 Archive for Rational Mechanics and Analysis 1 Applied Mathematics and Computation 1 Meccanica 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Nonlinear Dynamics 1 Acta Mechanica Sinica 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Cited in 11 Fields 37 Mechanics of particles and systems (70-XX) 8 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX) Citations by Year