Edit Profile (opens in new tab) Shamolin, Maksim Vladimirovich Co-Author Distance Author ID: shamolin.m-v Published as: Shamolin, M. V.; Shamolin, Maksim Vladimirovich; Shamolin, Maxim V. more...less Homepage: http://shamolin2.imec.msu.ru/ External Links: ORCID · Wikidata · ResearchGate · Math-Net.Ru Documents Indexed: 173 Publications since 1989, including 1 Book 1 Contribution as Editor Co-Authors: 19 Co-Authors with 44 Joint Publications 486 Co-Co-Authors all top 5 Co-Authors 127 single-authored 12 Aidagulov, R. R. 12 Georgievskiĭ, Dmitriĭ Vladimirovich 4 Selivanova, N. Yu. 3 Pokhodnya, N. V. 3 Polyakov, N. L. 2 Borisënok, I. T. 2 Okunev, Yu. M. 2 Samsonov, Vitaly A. 1 Chubarikov, Vladimir Nikolaevich 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Ikonnikova, Tat’yana Konstantinovna 1 Krugova, Elena P. 1 Krupitsin, Evgeniĭ Stanislavovich 1 Lokshin, Boris Yakovlevich 1 Matveev, Vladimir Yur’evich 1 Nesterenko, Yuriĭ Valentinovich 1 Orlova, L. N. 1 Trofimov, Valeriĭ Vladimirovich 1 Voronov, A. S. all top 5 Serials 74 Journal of Mathematical Sciences (New York) 14 Doklady Mathematics 13 Moscow University Mechanics Bulletin 13 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 10 Russian Mathematical Surveys 5 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 4 Prikladnaya Mekhanika 4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 4 Doklady Physics 4 Matematicheskoe Modelirovanie 4 Vestnik Samarskogo Gosudarstvennogo Universitetea. Estestvennonauchnaya Seriya 3 Moscow University Mathematics Bulletin 2 Prikladnaya Matematika i Mekhanika 2 Physics-Doklady 2 Journal of Applied Mechanics and Technical Physics 2 Differential Equations 2 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 2 Chebyshevskiĭ Sbornik 1 Journal of Applied Mathematics and Mechanics 1 Automation and Remote Control 1 International Applied Mechanics 1 Fundamental’naya i Prikladnaya Matematika 1 Lobachevskii Journal of Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal of Structural Stability and Dynamics all top 5 Fields 113 Mechanics of particles and systems (70-XX) 68 Dynamical systems and ergodic theory (37-XX) 27 Ordinary differential equations (34-XX) 11 General and overarching topics; collections (00-XX) 11 Systems theory; control (93-XX) 9 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 7 Partial differential equations (35-XX) 6 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 127 Publications have been cited 1,101 times in 123 Documents Cited by ▼ Year ▼ On integrability using transcendental functions. Zbl 0925.34003 Shamolin, M. V. 51 1998 Methods of analysis of various dissipation dynamical systems in dynamics of a rigid body. (Методы анализа динамических систем с переменной диссипацней в динамике твердого тела.) Zbl 1334.70001 Shamolin, M. V. 42 2007 Body motion in a resisting medium. Zbl 0705.70008 Samsonov, V. A.; Shamolin, M. V. 29 1989 Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems. Zbl 1353.37121 Trofimov, V. V.; Shamolin, M. V. 26 2012 Spatial topographical systems of Poincaré and comparison systems. Zbl 0915.58062 Shamolin, M. V. 23 1997 A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere. Zbl 1137.37325 Shamolin, M. V. 22 2007 New integrable cases and families of portraits in the plane and spatial dynamics of a rigid body interacting with a medium. Zbl 1067.70006 Shamolin, M. V. 21 2003 First integrals of motion equations of a generalized gyroscope in \(\mathbb R^n\). Zbl 1127.70003 Georgievsky, D. V.; Shamolin, M. V. 21 2003 New integrable, in the sense of Jacobi, cases in the dynamics of a rigid body interacting with a medium. Zbl 1065.70500 Shamolin, M. V. 21 1999 Comparison of Jacobi integrable cases of plane and spatial motion of a body in a medium at streamlining. Zbl 1100.74546 Shamolin, M. V. 20 2005 Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body. Zbl 1140.70456 Shamolin, M. V. 18 2004 Phase pattern classification for the problem of the motion of a body in a resisting medium in the presence of a linear damping moment. Zbl 0820.76018 Shamolin, M. V. 17 1993 Dynamical systems with variable dissipation: approaches, methods, and applications. Zbl 1189.37022 Shamolin, M. V. 17 2009 Existence and uniqueness of trajectories having infinitely distant points as limit sets for dynamical systems on the plane. Zbl 0815.34002 Shamolin, M. V. 17 1993 On the problem of motion of a body in a resistant medium. Zbl 0753.70007 Shamolin, M. V. 17 1992 Some questions of the qualitative theory of ordinary differential equations and dynamics of a rigid body interacting with a medium. Zbl 1006.34035 Shamolin, M. V. 16 2002 New integrable cases in dynamics of a medium-interacting body with allowance for dependence of resistance force moment on angular velocity. Zbl 1189.70045 Shamolin, M. V. 16 2008 Some model problems of solid dynamics at its interaction with a medium. Zbl 1164.74395 Shamolin, M. V. 16 2007 On limit sets of differential equations near singular critical points. Zbl 0968.34021 Shamolin, M. V. 15 2000 Robustness of dissipative systems and relative robustness and nonrobustness of systems with variable dissipation. Zbl 0968.34039 Shamolin, M. V. 14 1999 Foundations of differential and topological diagnostics. Zbl 1067.93020 Shamolin, M. V. 14 2003 Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field. Zbl 1277.37104 Shamolin, M. V. 14 2012 Geometric representation of motion in a problem on interaction of a body with a medium. Zbl 1116.74378 Shamolin, M. V. 13 2004 An integrable case of dynamical equations on \(\text{so}(4)\times\mathbb R^4\). Zbl 1183.70019 Shamolin, M. V. 13 2005 Introduction to problem on braking of a body in a resisting medium and new two-parametric family of phase portraits. Zbl 0923.70008 Shamolin, M. V. 13 1996 The case of complete integrability in the dynamics of a four-dimensional rigid body in a nonconservative field. Zbl 1356.70010 Shamolin, M. V. 13 2010 New cases of integrability in the spatial dynamics of a rigid body. Zbl 1353.70018 Shamolin, M. V. 13 2010 Resolving a problem of differential diagnostics. Zbl 0967.93033 Borisenok, I. T.; Shamolin, M. V. 13 1999 Cases of integrability of three-dimensional dynamic equations for a solid. Zbl 1010.70520 Shamolin, M. V. 12 2001 The problem of a rigid body motion in a resisting medium with the assumption of dependence of the force moment from the angular velocity. Zbl 1289.70008 Shamolin, M. V. 12 2012 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1299.01007 Georgievskii, D. V.; Shamolin, M. V. 12 2008 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1260.00024 Georgievskii, D. V.; Shamolin, M. V. 12 2012 Rigid body motion in a resisting medium. Zbl 1274.74112 Shamolin, M. V. 12 2011 Integrability in elementary functions of some classes of dynamical systems. Zbl 1212.70011 Shamolin, M. V. 12 2008 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1180.00019 Georgievskii, D. V.; Shamolin, M. V. 12 2009 New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field. Zbl 1347.70010 Shamolin, M. V. 12 2009 Complete integrability of equations of motion of a spatial pendulum placed in an incident medium. Zbl 1051.70509 Shamolin, M. V. 11 2001 Valeriĭ Vladimirovich Trofimov (1952–2003). Zbl 1153.01325 Georgievskiĭ, D. V.; Shamolin, M. V. 11 2008 Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies. Zbl 1278.70007 Georgievskii, D. V.; Shamolin, M. V. 11 2012 The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body. Zbl 0874.70006 Shamolin, M. V. 11 1996 Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field. Zbl 1288.70001 Shamolin, M. V. 11 2010 Solving the problem of differential diagnostics by the method of statistical tests. Zbl 1074.70572 Borisënok, I. T.; Shamolin, M. V. 10 2001 Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields. Zbl 1353.70019 Shamolin, M. V. 10 2015 New cases of integrable odd-order systems with dissipation. Zbl 1494.37038 Shamolin, M. V. 9 2020 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Topical problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1288.00055 Georgievskii, D. V.; Shamolin, M. V. 8 2010 Pendulum systems with dynamical symmetry. Zbl 1405.70005 Lokshin, B. Ya.; Samsonov, V. A.; Shamolin, M. V. 8 2017 On integrability in elementary functions of certain classes of nonconservative dynamical systems. Zbl 1188.37003 Shamolin, M. V. 8 2009 Stability of rectilinear translational motion of a rigid body in resisting medium. Zbl 1212.70023 Shamolin, M. V. 8 2009 Certain conditions of integrability of dynamical systems in transcendental functions. Zbl 1328.34004 Pokhodnya, N. V.; Shamolin, M. V. 8 2013 Rigid body motion in a resisting medium modeling and analogues with vortex streets. Zbl 1340.76015 Shamolin, M. V. 8 2015 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1325.00038 Georgievskii, D. V.; Shamolin, M. V. 7 2015 Some methods of analysis of the dynamic systems with the various dissipation in dynamics of a rigid body. Zbl 1393.37096 Shamolin, Maxim V. 7 2008 Averaging operators and real equations of hydromechanics. Zbl 1288.76004 Aĭdagulov, R. R.; Shamolin, M. V. 6 2010 Three-parametric family of phase portraits in dynamics of a solid interacting with a medium. Zbl 1257.70015 Shamolin, M. V. 6 2008 Integrable systems with variable dissipation on the tangent bundle of a sphere. Zbl 1353.70022 Shamolin, M. V. 6 2016 New two-parametric family of phase portraits for a body moving in a medium. Zbl 0855.70014 Shamolin, M. V. 5 1994 Problems of differential and topological diagnostics. I: Motion equations and classification of malfunctions. Zbl 1429.93260 Shamolin, M. V. 5 2019 A multiparameter family of phase portraits in the dynamics of a rigid body interacting with a medium. Zbl 1433.70008 Shamolin, M. V. 5 2011 Variety of phase portraits in the dynamics of a solid interacting with a resistant medium. Zbl 0900.70152 Shamolin, M. V. 5 1996 Groups of colors. Zbl 1214.16029 Aidagulov, R. R.; Shamolin, M. V. 5 2009 Cases of integrability corresponding to the pendulum motion in three-dimensional space. Zbl 1401.70010 Shamolin, M. V. 5 2016 Dynamical pendulum-like nonconservative systems. Zbl 1302.70051 Shamolin, Maxim V. 5 2014 Different topological types of trajectories in the problem of body motion in a resisting medium. Zbl 0850.70083 Shamolin, M. V. 4 1992 Application of the methods of topographic Poincaré systems and comparison systems to some particular systems of differential equations. Zbl 0791.34029 Shamolin, M. V. 4 1993 A refinement of the Conway algorithm. Zbl 1104.03037 Aĭdagulov, R. R.; Shamolin, M. V. 4 2005 Integration formulas of tenth order and higher. Zbl 1304.65112 Aidagulov, R. R.; Shamolin, M. V. 4 2010 Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds. Zbl 1496.37062 Shamolin, M. V. 4 2021 New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds. Zbl 1482.37058 Shamolin, M. V. 4 2020 New case of integrability of dynamic equations on the tangent bundle of a 3-sphere. Zbl 1356.70011 Shamolin, M. V. 4 2013 On integrability in dynamic problems for a rigid body interacting with a medium. Zbl 1284.70010 Shamolin, M. V. 4 2013 Pseudodifferential operators in the theory of multiphase, multi-rate flows. Zbl 1288.35493 Aĭdagulov, R. R.; Shamolin, M. V. 4 2010 Problems of differential and topological diagnostics. II: Problem of differential diagnostics. Zbl 1455.93139 Shamolin, Maksim Vladimirovich 4 2019 The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere. Zbl 1404.37071 Shamolin, M. V. 4 2018 Invariant volume forms of variable dissipation systems with three degrees of freedom. Zbl 1515.37056 Shamolin, M. V. 4 2022 Some questions of qualitative theory in dynamics of systems with the variable dissipation. Zbl 1338.37028 Shamolin, M. V. 4 2013 On a generalization of Arrow’s impossibility theorem. Zbl 1300.91028 Polyakov, N. L.; Shamolin, M. V. 4 2014 New case of integrability in dynamics of multidimensional body. Zbl 1327.70009 Pokhodnya, N. V.; Shamolin, M. V. 4 2012 Integrable systems on tangent bundle of a multidimensional sphere. Zbl 1353.70017 Pokhodnya, N. V.; Shamolin, M. V. 4 2014 New cases of homogeneous integrable systems with dissipation on tangent bundles of two-dimensional manifolds. Zbl 1482.37057 Shamolin, M. V. 3 2020 Problems of differential and topological diagnostics. III: The checking problem. Zbl 1455.93140 Shamolin, Maksim Vladimirovich 3 2019 On the integration of some classes of nonconservative systems. Zbl 1054.34503 Shamolin, M. V. 3 2002 Sessions of the workshop of the mathematics and mechanics department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1381.00023 3 2017 Mathematical modeling of a medium interaction onto rigid body and new two-parametric family of phase patterns. Zbl 1353.70011 Andreev, A. V.; Shamolin, M. V. 3 2014 Studying the interphase zone in a certain singular-limit problem. Zbl 1321.35172 Selivanova, N. Yu.; Shamolin, M. V. 3 2013 Integrable systems with dissipation and two and three degrees of freedom. Zbl 1403.37068 Shamolin, M. V. 3 2018 A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment. Zbl 1297.70003 Shamolin, M. V. 3 2013 Variety of the cases of integrability in dynamics of a symmetric 2d-, 3d- and 4d-rigid body in a nonconservative field. Zbl 1359.70059 Shamolin, Maxim V. 3 2013 Complete list of first integrals for dynamic equations of motion of a solid body in a resisting medium with consideration of linear damping. Zbl 1353.70008 Shamolin, M. V. 3 2012 Manifolds of continuous structures. Zbl 1159.58001 Aidagulov, R. R.; Shamolin, M. V. 2 2008 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1364.00029 Georgievskii, D. V.; Shamolin, M. V. 2 2017 On integrability in elementary functions of certain classes of complex nonautonomous equations. Zbl 1288.34004 Okunev, Yu. M.; Shamolin, M. V. 2 2010 Problems of differential and topological diagnostics. IV: The case of exact trajectorial measurements. Zbl 1458.93038 Shamolin, Maksim Vladimirovich 2 2020 Integrable nonconservative dynamical systems on the tangent bundle of the multidimensional sphere. Zbl 1353.70040 Shamolin, M. V. 2 2016 Simulation of the action of a medium on a conical body and the family of phase portraits in the space of quasivelocities. Zbl 1353.70016 Andreev, A. V.; Shamolin, M. V. 2 2015 Integrable third and fifth order dynamical systems with dissipation. Zbl 1416.37056 Shamolin, M. V. 2 2019 Finsler spaces, bingles, polyingles, and their symmetry groups. Zbl 1341.53109 Aidagulov, R. R.; Shamolin, M. V. 2 2015 Polynumbers, norms, metrics, and polyingles. Zbl 1341.53046 Aidagulov, R. R.; Shamolin, M. V. 2 2015 Topology on polynumbers and fractals. Zbl 1359.37106 Aĭdagulov, R. R.; Shamolin, M. V. 2 2015 On the construction of the general solution of a class of complex nonautonomous equations. Zbl 1354.34029 Okunev, Yu. M.; Shamolin, M. V. 2 2015 Local solvability of a one-phase problem with free boundary. Zbl 1302.35468 Selivanova, N. Yu.; Shamolin, M. V. 2 2013 Invariants of geodesic, potential, and dissipative systems with three degrees of freedom. Zbl 07879100 Shamolin, M. V. 1 2024 Invariants of fifth-order homogeneous systems with dissipation. Zbl 1535.37071 Shamolin, M. V. 2 2023 Invariant forms of geodesic, potential, and dissipative systems on tangent bundles of finite-dimensional manifolds. Zbl 1533.37123 Shamolin, M. V. 1 2023 Invariant volume forms of geodesic, potential, and dissipative systems on a tangent bundle of a four-dimensional manifold. Zbl 1522.37039 Shamolin, M. V. 1 2023 Invariant volume forms of variable dissipation systems with three degrees of freedom. Zbl 1515.37056 Shamolin, M. V. 4 2022 Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds. Zbl 1496.37062 Shamolin, M. V. 4 2021 New cases of integrability of systems of geodesics and potential and dissipative systems on tangent bundles of finite-dimensional manifolds. Zbl 1493.37075 Shamolin, M. V. 1 2021 New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds. Zbl 1482.37059 Shamolin, M. V. 1 2021 New cases of integrable odd-order systems with dissipation. Zbl 1494.37038 Shamolin, M. V. 9 2020 New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds. Zbl 1482.37058 Shamolin, M. V. 4 2020 New cases of homogeneous integrable systems with dissipation on tangent bundles of two-dimensional manifolds. Zbl 1482.37057 Shamolin, M. V. 3 2020 Problems of differential and topological diagnostics. IV: The case of exact trajectorial measurements. Zbl 1458.93038 Shamolin, Maksim Vladimirovich 2 2020 Problems of differential and topological diagnostics. V: The case of trajectorial measurements with error. Zbl 1489.93049 Shamolin, Maksim Vladimirovich 1 2020 Integrable seventh and ninth order dynamic systems with dissipation. Zbl 1445.37041 Shamolin, M. V. 1 2020 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1452.00015 Georgievsky, D. V.; Shamolin, M. V. 1 2020 Problems of differential and topological diagnostics. I: Motion equations and classification of malfunctions. Zbl 1429.93260 Shamolin, M. V. 5 2019 Problems of differential and topological diagnostics. II: Problem of differential diagnostics. Zbl 1455.93139 Shamolin, Maksim Vladimirovich 4 2019 Problems of differential and topological diagnostics. III: The checking problem. Zbl 1455.93140 Shamolin, Maksim Vladimirovich 3 2019 Integrable third and fifth order dynamical systems with dissipation. Zbl 1416.37056 Shamolin, M. V. 2 2019 The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere. Zbl 1404.37071 Shamolin, M. V. 4 2018 Integrable systems with dissipation and two and three degrees of freedom. Zbl 1403.37068 Shamolin, M. V. 3 2018 Low-dimensional and multidimensional pendulums in nonconservative fields. I. Zbl 1423.70019 Shamolin, M. V. 2 2018 Integrable dynamic systems with dissipation and finitely many degrees of freedom. Zbl 1403.37069 Shamolin, M. V. 2 2018 Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications. Zbl 1416.70009 Shamolin, M. V. 1 2018 Simulation of the spatial action of a medium on a body of conical form. Zbl 1413.70008 Shamolin, M. V. 1 2018 Low-dimensional and multidimensional pendulums in nonconservative fields. II. Zbl 1423.70020 Shamolin, M. V. 1 2018 Phase portraits of dynamical equations of motion of a rigid body in a resistive medium. Zbl 1423.70015 Shamolin, M. V. 1 2018 Pendulum systems with dynamical symmetry. Zbl 1405.70005 Lokshin, B. Ya.; Samsonov, V. A.; Shamolin, M. V. 8 2017 Sessions of the workshop of the mathematics and mechanics department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1381.00023 3 2017 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1364.00029 Georgievskii, D. V.; Shamolin, M. V. 2 2017 Methods of mathematical modeling of the action of a medium on a conical body. Zbl 1412.70003 Andreev, A. V.; Shamolin, M. V. 1 2017 Integrable motions of a pendulum in a two-dimensional plane. Zbl 1405.70006 Shamolin, M. V. 1 2017 Transcendental first integrals of dynamical systems on the tangent bundle to the sphere. Zbl 1408.34002 Shamolin, M. V. 1 2017 Auto-oscillations during deceleration of a rigid body in a resisting medium. Zbl 1399.70003 Shamolin, M. V. 1 2017 Integrable systems with variable dissipation on the tangent bundle of a sphere. Zbl 1353.70022 Shamolin, M. V. 6 2016 Cases of integrability corresponding to the pendulum motion in three-dimensional space. Zbl 1401.70010 Shamolin, M. V. 5 2016 Integrable nonconservative dynamical systems on the tangent bundle of the multidimensional sphere. Zbl 1353.70040 Shamolin, M. V. 2 2016 On the problem of free deceleration of a rigid body in a resisting medium. Zbl 1417.70006 Shamolin, M. V. 1 2016 On the problem of free deceleration of a rigid body with the cone front part in a resisting medium. Zbl 1363.76029 Shamolin, M. V. 1 2016 Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields. Zbl 1353.70019 Shamolin, M. V. 10 2015 Rigid body motion in a resisting medium modeling and analogues with vortex streets. Zbl 1340.76015 Shamolin, M. V. 8 2015 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1325.00038 Georgievskii, D. V.; Shamolin, M. V. 7 2015 Simulation of the action of a medium on a conical body and the family of phase portraits in the space of quasivelocities. Zbl 1353.70016 Andreev, A. V.; Shamolin, M. V. 2 2015 Finsler spaces, bingles, polyingles, and their symmetry groups. Zbl 1341.53109 Aidagulov, R. R.; Shamolin, M. V. 2 2015 Polynumbers, norms, metrics, and polyingles. Zbl 1341.53046 Aidagulov, R. R.; Shamolin, M. V. 2 2015 Topology on polynumbers and fractals. Zbl 1359.37106 Aĭdagulov, R. R.; Shamolin, M. V. 2 2015 On the construction of the general solution of a class of complex nonautonomous equations. Zbl 1354.34029 Okunev, Yu. M.; Shamolin, M. V. 2 2015 Classification of integrable cases in the dynamics of a four-dimensional rigid body in a nonconservative field in the presence of a tracking force. Zbl 1346.70007 Shamolin, M. V. 2 2015 Dynamical pendulum-like nonconservative systems. Zbl 1302.70051 Shamolin, Maxim V. 5 2014 On a generalization of Arrow’s impossibility theorem. Zbl 1300.91028 Polyakov, N. L.; Shamolin, M. V. 4 2014 Integrable systems on tangent bundle of a multidimensional sphere. Zbl 1353.70017 Pokhodnya, N. V.; Shamolin, M. V. 4 2014 Mathematical modeling of a medium interaction onto rigid body and new two-parametric family of phase patterns. Zbl 1353.70011 Andreev, A. V.; Shamolin, M. V. 3 2014 Certain conditions of integrability of dynamical systems in transcendental functions. Zbl 1328.34004 Pokhodnya, N. V.; Shamolin, M. V. 8 2013 New case of integrability of dynamic equations on the tangent bundle of a 3-sphere. Zbl 1356.70011 Shamolin, M. V. 4 2013 On integrability in dynamic problems for a rigid body interacting with a medium. Zbl 1284.70010 Shamolin, M. V. 4 2013 Some questions of qualitative theory in dynamics of systems with the variable dissipation. Zbl 1338.37028 Shamolin, M. V. 4 2013 Studying the interphase zone in a certain singular-limit problem. Zbl 1321.35172 Selivanova, N. Yu.; Shamolin, M. V. 3 2013 A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment. Zbl 1297.70003 Shamolin, M. V. 3 2013 Variety of the cases of integrability in dynamics of a symmetric 2d-, 3d- and 4d-rigid body in a nonconservative field. Zbl 1359.70059 Shamolin, Maxim V. 3 2013 Local solvability of a one-phase problem with free boundary. Zbl 1302.35468 Selivanova, N. Yu.; Shamolin, M. V. 2 2013 Local solvability of the capillary problem. Zbl 1291.35234 Selivanova, N. Yu.; Shamolin, M. V. 2 2013 Quasi-stationary Stefan problem with values on the front depending on its geometry. Zbl 1291.35402 Selivanova, N. Yu.; Shamolin, M. V. 1 2013 Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems. Zbl 1353.37121 Trofimov, V. V.; Shamolin, M. V. 26 2012 Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field. Zbl 1277.37104 Shamolin, M. V. 14 2012 The problem of a rigid body motion in a resisting medium with the assumption of dependence of the force moment from the angular velocity. Zbl 1289.70008 Shamolin, M. V. 12 2012 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1260.00024 Georgievskii, D. V.; Shamolin, M. V. 12 2012 Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies. Zbl 1278.70007 Georgievskii, D. V.; Shamolin, M. V. 11 2012 New case of integrability in dynamics of multidimensional body. Zbl 1327.70009 Pokhodnya, N. V.; Shamolin, M. V. 4 2012 Complete list of first integrals for dynamic equations of motion of a solid body in a resisting medium with consideration of linear damping. Zbl 1353.70008 Shamolin, M. V. 3 2012 Rigid body motion in a resisting medium. Zbl 1274.74112 Shamolin, M. V. 12 2011 A multiparameter family of phase portraits in the dynamics of a rigid body interacting with a medium. Zbl 1433.70008 Shamolin, M. V. 5 2011 The case of complete integrability in the dynamics of a four-dimensional rigid body in a nonconservative field. Zbl 1356.70010 Shamolin, M. V. 13 2010 New cases of integrability in the spatial dynamics of a rigid body. Zbl 1353.70018 Shamolin, M. V. 13 2010 Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field. Zbl 1288.70001 Shamolin, M. V. 11 2010 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Topical problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1288.00055 Georgievskii, D. V.; Shamolin, M. V. 8 2010 Averaging operators and real equations of hydromechanics. Zbl 1288.76004 Aĭdagulov, R. R.; Shamolin, M. V. 6 2010 Integration formulas of tenth order and higher. Zbl 1304.65112 Aidagulov, R. R.; Shamolin, M. V. 4 2010 Pseudodifferential operators in the theory of multiphase, multi-rate flows. Zbl 1288.35493 Aĭdagulov, R. R.; Shamolin, M. V. 4 2010 On integrability in elementary functions of certain classes of complex nonautonomous equations. Zbl 1288.34004 Okunev, Yu. M.; Shamolin, M. V. 2 2010 Dynamical systems with variable dissipation: approaches, methods, and applications. Zbl 1189.37022 Shamolin, M. V. 17 2009 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1180.00019 Georgievskii, D. V.; Shamolin, M. V. 12 2009 New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field. Zbl 1347.70010 Shamolin, M. V. 12 2009 On integrability in elementary functions of certain classes of nonconservative dynamical systems. Zbl 1188.37003 Shamolin, M. V. 8 2009 Stability of rectilinear translational motion of a rigid body in resisting medium. Zbl 1212.70023 Shamolin, M. V. 8 2009 Groups of colors. Zbl 1214.16029 Aidagulov, R. R.; Shamolin, M. V. 5 2009 New integrable cases in dynamics of a medium-interacting body with allowance for dependence of resistance force moment on angular velocity. Zbl 1189.70045 Shamolin, M. V. 16 2008 Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. Zbl 1299.01007 Georgievskii, D. V.; Shamolin, M. V. 12 2008 Integrability in elementary functions of some classes of dynamical systems. Zbl 1212.70011 Shamolin, M. V. 12 2008 Valeriĭ Vladimirovich Trofimov (1952–2003). Zbl 1153.01325 Georgievskiĭ, D. V.; Shamolin, M. V. 11 2008 Some methods of analysis of the dynamic systems with the various dissipation in dynamics of a rigid body. Zbl 1393.37096 Shamolin, Maxim V. 7 2008 Three-parametric family of phase portraits in dynamics of a solid interacting with a medium. Zbl 1257.70015 Shamolin, M. V. 6 2008 Manifolds of continuous structures. Zbl 1159.58001 Aidagulov, R. R.; Shamolin, M. V. 2 2008 Archimedean uniform structures. Zbl 1166.22004 Aidagulov, R. R.; Shamolin, M. V. 1 2008 Methods of analysis of various dissipation dynamical systems in dynamics of a rigid body. (Методы анализа динамических систем с переменной диссипацней в динамике твердого тела.) Zbl 1334.70001 Shamolin, M. V. 42 2007 A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere. Zbl 1137.37325 Shamolin, M. V. 22 2007 Some model problems of solid dynamics at its interaction with a medium. Zbl 1164.74395 Shamolin, M. V. 16 2007 Comparison of Jacobi integrable cases of plane and spatial motion of a body in a medium at streamlining. Zbl 1100.74546 Shamolin, M. V. 20 2005 An integrable case of dynamical equations on \(\text{so}(4)\times\mathbb R^4\). Zbl 1183.70019 Shamolin, M. V. 13 2005 A refinement of the Conway algorithm. Zbl 1104.03037 Aĭdagulov, R. R.; Shamolin, M. V. 4 2005 Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body. Zbl 1140.70456 Shamolin, M. V. 18 2004 ...and 27 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 41 Authors 99 Shamolin, Maksim Vladimirovich 7 Georgievskiĭ, Dmitriĭ Vladimirovich 5 Aidagulov, R. R. 4 Qi, Guoyuan 3 Hu, Jianbing 3 Lokshin, Boris Yakovlevich 2 Okunev, Yu. M. 2 Polyakov, N. L. 2 Rozenblat, Grigory M. 2 Samsonov, Vitaly A. 2 Tikhonov, Alexey A. 1 Aleksandrov, Aleksandr Yur’evich 1 Andriyanova, Natal’ya Romanovna 1 Barbancho, Julio 1 Baz, Morad El 1 Bazhenov, Valentin G. 1 Bragov, Anatoly M. 1 Burov, Aleksandr Anatol’evich 1 Chen, Guanrong 1 Córdoba, Antonio 1 Davydov, Alekseĭ Aleksandrovich 1 El Hawary, Khadija 1 Fernández Cañete, Javier 1 Golub, Anatoly P. 1 Gou, Ting 1 Holub, Andrei P. 1 Karapetyan, Aleksandr Vladilenovich 1 Klimina, Lyubov’ Aleksandrovna 1 Konstantinov, Aleksandr Yu. 1 Kotov, Vasiliy L. 1 Krugova, Elena P. 1 Kumar, Mukesh 1 Kumar, Virendra 1 Lin, Ching-Huei 1 Luque, Amalia 1 Pobedrya, Boris Efimovich 1 Reshmin, Sergey A. 1 Selyutskiy, Yury D. 1 Trofimov, Valeriĭ Vladimirovich 1 Wang, Ze 1 Yadav, Sushil all top 5 Cited in 27 Serials 54 Journal of Mathematical Sciences (New York) 14 Doklady Mathematics 11 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 5 Moscow University Mechanics Bulletin 4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 Journal of Applied Mathematics and Mechanics 3 Russian Journal of Mathematical Physics 3 Journal of Applied Mechanics and Technical Physics 3 Mechanics of Solids 2 Moscow University Mathematics Bulletin 2 Automation and Remote Control 2 Differential Equations 1 Prikladnaya Matematika i Mekhanika 1 Applied Mathematical Modelling 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Vestnik St. Petersburg University. Mathematics 1 Journal of Computer and Systems Sciences International 1 International Applied Mechanics 1 Nonlinear Dynamics 1 Chaos 1 Regular and Chaotic Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 Journal of Dynamical Systems and Geometric Theories 1 Quantum Information Processing 1 Chebyshevskiĭ Sbornik 1 International Journal of Structural Stability and Dynamics all top 5 Cited in 26 Fields 87 Mechanics of particles and systems (70-XX) 54 Dynamical systems and ergodic theory (37-XX) 14 Ordinary differential equations (34-XX) 10 Mechanics of deformable solids (74-XX) 8 Systems theory; control (93-XX) 5 Differential geometry (53-XX) 5 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.