Edit Profile (opens in new tab) Shamolin, Maksim Vladimirovich Compute Distance To: Compute 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: 156 Publications since 1989, including 1 Book 1 Contribution as Editor Co-Authors: 17 Co-Authors with 41 Joint Publications 402 Co-Co-Authors all top 5 Co-Authors 113 single-authored 12 Aidagulov, R. R. 11 Georgievskiĭ, Dmitriĭ Vladimirovich 4 Selivanova, N. Yu. 3 Pokhodnya, N. V. 2 Borisënok, I. T. 2 Okunev, Yu. M. 2 Polyakov, N. L. 2 Samsonov, Vitaly A. 1 Chubarikov, Vladimir Nikolaevich 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Ikonnikova, T. K. 1 Krugova, Elena P. 1 Krupitsin, Evgeniĭ Stanislavovich 1 Lokshin, Boris Yakovlevich 1 Matveev, Vladimir Yur’evich 1 Nesterenko, Yuriĭ Valentinovich 1 Trofimov, Valeriĭ Vladimirovich all top 5 Serials 69 Journal of Mathematical Sciences (New York) 13 Moscow University Mechanics Bulletin 12 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 10 Russian Mathematical Surveys 8 Doklady Mathematics 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 2 Moscow University Mathematics Bulletin 2 Prikladnaya Matematika i Mekhanika 2 Physics-Doklady 2 Journal of Applied Mechanics and Technical Physics 2 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Journal of Applied Mathematics and Mechanics 1 Automation and Remote Control 1 International Applied Mechanics 1 Fundamental’naya i Prikladnaya Matematika 1 Differential Equations 1 Chebyshevskiĭ Sbornik 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal of Structural Stability and Dynamics all top 5 Fields 104 Mechanics of particles and systems (70-XX) 58 Dynamical systems and ergodic theory (37-XX) 25 Ordinary differential equations (34-XX) 10 Systems theory; control (93-XX) 9 General and overarching topics; collections (00-XX) 9 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 7 Partial differential equations (35-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 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Statistics (62-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 111 Publications have been cited 839 times in 99 Documents Cited by ▼ Year ▼ Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body. Zbl 1140.70456Shamolin, M. V. 28 2004 On integrability using transcendental functions. Zbl 0925.34003Shamolin, M. V. 27 1998 Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field. Zbl 1277.37104Shamolin, M. V. 26 2012 Body motion in a resisting medium. Zbl 0705.70008Samsonov, V. A.; Shamolin, M. V. 25 1989 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 1334.70001Shamolin, M. V. 23 2007 Comparison of Jacobi integrable cases of plane and spatial motion of a body in a medium at streamlining. Zbl 1100.74546Shamolin, M. V. 23 2005 New integrable cases and families of portraits in the plane and spatial dynamics of a rigid body interacting with a medium. Zbl 1067.70006Shamolin, M. V. 23 2003 On the problem of motion of a body in a resistant medium. Zbl 0753.70007Shamolin, M. V. 22 1992 New integrable, in the sense of Jacobi, cases in the dynamics of a rigid body interacting with a medium. Zbl 1065.70500Shamolin, M. V. 21 1999 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 1180.00019Georgievskii, D. V.; Shamolin, M. V. 20 2009 Geometric representation of motion in a problem on interaction of a body with a medium. Zbl 1116.74378Shamolin, M. V. 17 2004 Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems. Zbl 1353.37121Trofimov, V. V.; Shamolin, M. V. 17 2012 First integrals of motion equations of a generalized gyroscope in \(\mathbb R^n\). Zbl 1127.70003Georgievsky, D. V.; Shamolin, M. V. 17 2003 Foundations of differential and topological diagnostics. Zbl 1067.93020Shamolin, M. V. 17 2003 New integrable cases in dynamics of a medium-interacting body with allowance for dependence of resistance force moment on angular velocity. Zbl 1189.70045Shamolin, M. V. 17 2008 Resolving a problem of differential diagnostics. Zbl 0967.93033Borisenok, I. T.; Shamolin, M. V. 16 1999 Rigid body motion in a resisting medium. Zbl 1274.74112Shamolin, M. V. 15 2011 Some questions of the qualitative theory of ordinary differential equations and dynamics of a rigid body interacting with a medium. Zbl 1006.34035Shamolin, M. V. 15 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 1299.01007Georgievskii, D. V.; Shamolin, M. V. 14 2008 Some model problems of solid dynamics at its interaction with a medium. Zbl 1164.74395Shamolin, M. V. 14 2007 Existence and uniqueness of trajectories having infinitely distant points as limit sets for dynamical systems on the plane. Zbl 0815.34002Shamolin, M. V. 14 1993 Spatial topographical systems of Poincaré and comparison systems. Zbl 0915.58062Shamolin, M. V. 14 1997 Dynamical systems with variable dissipation: approaches, methods, and applications. Zbl 1189.37022Shamolin, M. V. 14 2009 Integrability in elementary functions of some classes of dynamical systems. Zbl 1212.70011Shamolin, M. V. 13 2008 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 1289.70008Shamolin, M. V. 13 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 1260.00024Georgievskii, D. V.; Shamolin, M. V. 13 2012 Some methods of analysis of the dynamic systems with the various dissipation in dynamics of a rigid body. Zbl 1393.37096Shamolin, Maxim V. 12 2008 On limit sets of differential equations near singular critical points. Zbl 0968.34021Shamolin, M. V. 12 2000 Cases of integrability of three-dimensional dynamic equations for a solid. Zbl 1010.70520Shamolin, M. V. 12 2001 Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies. Zbl 1278.70007Georgievskii, D. V.; Shamolin, M. V. 12 2012 Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields. Zbl 1353.70019Shamolin, M. V. 11 2015 Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field. Zbl 1288.70001Shamolin, M. V. 11 2010 Valeriĭ Vladimirovich Trofimov (1952–2003). Zbl 1153.01325Georgievskiĭ, D. V.; Shamolin, M. V. 11 2008 A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere. Zbl 1137.37325Shamolin, M. V. 10 2007 Stability of rectilinear translational motion of a rigid body in resisting medium. Zbl 1212.70023Shamolin, M. V. 10 2009 New cases of integrability in the spatial dynamics of a rigid body. Zbl 1353.70018Shamolin, M. V. 9 2010 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 0820.76018Shamolin, M. V. 9 1993 Variety of phase portraits in the dynamics of a solid interacting with a resistant medium. Zbl 0900.70152Shamolin, M. V. 9 1996 On integrability in elementary functions of certain classes of nonconservative dynamical systems. Zbl 1188.37003Shamolin, M. V. 9 2009 Certain conditions of integrability of dynamical systems in transcendental functions. Zbl 1328.34004Pokhodnya, N. V.; Shamolin, M. V. 8 2013 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 1288.00055Georgievskii, D. V.; Shamolin, M. V. 8 2010 New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field. Zbl 1347.70010Shamolin, M. V. 8 2009 Dynamical pendulum-like nonconservative systems. Zbl 1302.70051Shamolin, Maxim V. 6 2014 Averaging operators and real equations of hydromechanics. Zbl 1288.76004Aĭdagulov, R. R.; Shamolin, M. V. 6 2010 Cases of integrability corresponding to the pendulum motion in three-dimensional space. Zbl 1401.70010Shamolin, M. V. 6 2016 Problems of differential and topological diagnostics. I: Motion equations and classification of malfunctions. Zbl 1429.93260Shamolin, M. V. 6 2019 Three-parametric family of phase portraits in dynamics of a solid interacting with a medium. Zbl 1257.70015Shamolin, M. V. 6 2008 Some questions of qualitative theory in dynamics of systems with the variable dissipation. Zbl 1338.37028Shamolin, M. V. 6 2013 Solving the problem of differential diagnostics by the method of statistical tests. Zbl 1074.70572Borisënok, I. T.; Shamolin, M. V. 6 2001 On integrability in dynamic problems for a rigid body interacting with a medium. Zbl 1284.70010Shamolin, M. V. 5 2013 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 1325.00038Georgievskii, D. V.; Shamolin, M. V. 5 2015 The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body. Zbl 0874.70006Shamolin, M. V. 5 1996 A multiparameter family of phase portraits in the dynamics of a rigid body interacting with a medium. Zbl 1433.70008Shamolin, M. V. 5 2011 Integrable systems with variable dissipation on the tangent bundle of a sphere. Zbl 1353.70022Shamolin, M. V. 5 2016 An integrable case of dynamical equations on \(\text{so}(4)\times\mathbb R^4\). Zbl 1183.70019Shamolin, M. V. 5 2005 New two-parametric family of phase portraits for a body moving in a medium. Zbl 0855.70014Shamolin, M. V. 5 1994 Groups of colors. Zbl 1214.16029Aidagulov, R. R.; Shamolin, M. V. 5 2009 Different topological types of trajectories in the problem of body motion in a resisting medium. Zbl 0850.70083Shamolin, M. V. 4 1992 Integration formulas of tenth order and higher. Zbl 1304.65112Aidagulov, R. R.; Shamolin, M. V. 4 2010 Pseudodifferential operators in the theory of multiphase, multi-rate flows. Zbl 1288.35493Aĭdagulov, R. R.; Shamolin, M. V. 4 2010 Pendulum systems with dynamical symmetry. Zbl 1405.70005Lokshin, B. Ya.; Samsonov, V. A.; Shamolin, M. V. 4 2017 The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere. Zbl 1404.37071Shamolin, M. V. 4 2018 Studying the interphase zone in a certain singular-limit problem. Zbl 1321.35172Selivanova, N. Yu.; Shamolin, M. V. 4 2013 A refinement of the Conway algorithm. Zbl 1104.03037Aĭdagulov, R. R.; Shamolin, M. V. 4 2005 Robustness of dissipative systems and relative robustness and nonrobustness of systems with variable dissipation. Zbl 0968.34039Shamolin, M. V. 4 1999 Introduction to problem on braking of a body in a resisting medium and new two-parametric family of phase portraits. Zbl 0923.70008Shamolin, M. V. 4 1996 New case of integrability in dynamics of multidimensional body. Zbl 1327.70009Pokhodnya, N. V.; Shamolin, M. V. 3 2012 Integrable systems on tangent bundle of a multidimensional sphere. Zbl 1353.70017Pokhodnya, N. V.; Shamolin, M. V. 3 2014 Rigid body motion in a resisting medium modeling and analogues with vortex streets. Zbl 1340.76015Shamolin, M. V. 3 2015 Problems of differential and topological diagnostics. III: The checking problem. Zbl 1455.93140Shamolin, Maksim Vladimirovich 3 2019 Low-dimensional and multidimensional pendulums in nonconservative fields. I. Zbl 1423.70019Shamolin, M. V. 3 2018 New case of integrability of dynamic equations on the tangent bundle of a 3-sphere. Zbl 1356.70011Shamolin, M. 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 1353.70008Shamolin, M. V. 3 2012 Variety of the cases of integrability in dynamics of a symmetric 2d-, 3d- and 4d-rigid body in a nonconservative field. Zbl 1359.70059Shamolin, Maxim V. 3 2013 A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment. Zbl 1297.70003Shamolin, M. V. 3 2013 On the integration of some classes of nonconservative systems. Zbl 1054.34503Shamolin, M. V. 3 2002 Problems of differential and topological diagnostics. IV: The case of exact trajectorial measurements. Zbl 1458.93038Shamolin, Maksim Vladimirovich 2 2020 On integrability in elementary functions of certain classes of complex nonautonomous equations. Zbl 1288.34004Okunev, Yu. M.; Shamolin, M. V. 2 2010 Problems of differential and topological diagnostics. II: Problem of differential diagnostics. Zbl 1455.93139Shamolin, Maksim Vladimirovich 2 2019 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 2 2017 Integrable third and fifth order dynamical systems with dissipation. Zbl 1416.37056Shamolin, M. V. 2 2019 Finsler spaces, bingles, polyingles, and their symmetry groups. Zbl 1341.53109Aidagulov, R. R.; Shamolin, M. V. 2 2015 Polynumbers, norms, metrics, and polyingles. Zbl 1341.53046Aidagulov, R. R.; Shamolin, M. V. 2 2015 Topology on polynumbers and fractals. Zbl 1359.37106Aĭdagulov, R. R.; Shamolin, M. V. 2 2015 On the construction of the general solution of a class of complex nonautonomous equations. Zbl 1354.34029Okunev, 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 1346.70007Shamolin, M. V. 2 2015 Mathematical modeling of a medium interaction onto rigid body and new two-parametric family of phase patterns. Zbl 1353.70011Andreev, A. V.; Shamolin, M. V. 2 2014 On a generalization of Arrow’s impossibility theorem. Zbl 1300.91028Polyakov, N. L.; Shamolin, M. V. 2 2014 Local solvability of a one-phase problem with free boundary. Zbl 1302.35468Selivanova, N. Yu.; Shamolin, M. V. 2 2013 Local solvability of the capillary problem. Zbl 1291.35234Selivanova, N. Yu.; Shamolin, M. V. 2 2013 New cases of integrable odd-order systems with dissipation. Zbl 1494.37038Shamolin, M. V. 2 2020 Integrable dynamic systems with dissipation and finitely many degrees of freedom. Zbl 1403.37069Shamolin, M. V. 2 2018 Manifolds of continuous structures. Zbl 1159.58001Aidagulov, R. R.; Shamolin, M. V. 2 2008 Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications. Zbl 1416.70009Shamolin, M. V. 1 2018 On the problem of motion of a body in a resisting medium. Zbl 0790.70009Shamolin, M. V. 1 1992 Integrable seventh and ninth order dynamic systems with dissipation. Zbl 1445.37041Shamolin, M. V. 1 2020 Integrable motions of a pendulum in a two-dimensional plane. Zbl 1405.70006Shamolin, M. V. 1 2017 Transcendental first integrals of dynamical systems on the tangent bundle to the sphere. Zbl 1408.34002Shamolin, M. V. 1 2017 Auto-oscillations during deceleration of a rigid body in a resisting medium. Zbl 1399.70003Shamolin, M. V. 1 2017 Low-dimensional and multidimensional pendulums in nonconservative fields. II. Zbl 1423.70020Shamolin, M. V. 1 2018 Problems of differential and topological diagnostics. IV: The case of exact trajectorial measurements. Zbl 1458.93038Shamolin, Maksim Vladimirovich 2 2020 New cases of integrable odd-order systems with dissipation. Zbl 1494.37038Shamolin, M. V. 2 2020 Integrable seventh and ninth order dynamic systems with dissipation. Zbl 1445.37041Shamolin, M. V. 1 2020 Problems of differential and topological diagnostics. V: The case of trajectorial measurements with error. Zbl 1489.93049Shamolin, Maksim Vladimirovich 1 2020 New cases of homogeneous integrable systems with dissipation on tangent bundles of two-dimensional manifolds. Zbl 1482.37057Shamolin, M. V. 1 2020 New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds. Zbl 1482.37058Shamolin, M. V. 1 2020 Problems of differential and topological diagnostics. I: Motion equations and classification of malfunctions. Zbl 1429.93260Shamolin, M. V. 6 2019 Problems of differential and topological diagnostics. III: The checking problem. Zbl 1455.93140Shamolin, Maksim Vladimirovich 3 2019 Problems of differential and topological diagnostics. II: Problem of differential diagnostics. Zbl 1455.93139Shamolin, Maksim Vladimirovich 2 2019 Integrable third and fifth order dynamical systems with dissipation. Zbl 1416.37056Shamolin, M. V. 2 2019 The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere. Zbl 1404.37071Shamolin, M. V. 4 2018 Low-dimensional and multidimensional pendulums in nonconservative fields. I. Zbl 1423.70019Shamolin, M. V. 3 2018 Integrable dynamic systems with dissipation and finitely many degrees of freedom. Zbl 1403.37069Shamolin, M. V. 2 2018 Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications. Zbl 1416.70009Shamolin, M. V. 1 2018 Low-dimensional and multidimensional pendulums in nonconservative fields. II. Zbl 1423.70020Shamolin, M. V. 1 2018 Phase portraits of dynamical equations of motion of a rigid body in a resistive medium. Zbl 1423.70015Shamolin, M. V. 1 2018 Integrable systems with dissipation and two and three degrees of freedom. Zbl 1403.37068Shamolin, M. V. 1 2018 Pendulum systems with dynamical symmetry. Zbl 1405.70005Lokshin, B. Ya.; Samsonov, V. A.; Shamolin, M. V. 4 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 2 2017 Integrable motions of a pendulum in a two-dimensional plane. Zbl 1405.70006Shamolin, M. V. 1 2017 Transcendental first integrals of dynamical systems on the tangent bundle to the sphere. Zbl 1408.34002Shamolin, M. V. 1 2017 Auto-oscillations during deceleration of a rigid body in a resisting medium. Zbl 1399.70003Shamolin, M. V. 1 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 1364.00029Georgievskii, D. V.; Shamolin, M. V. 1 2017 Cases of integrability corresponding to the pendulum motion in three-dimensional space. Zbl 1401.70010Shamolin, M. V. 6 2016 Integrable systems with variable dissipation on the tangent bundle of a sphere. Zbl 1353.70022Shamolin, M. V. 5 2016 Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields. Zbl 1353.70019Shamolin, M. V. 11 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 1325.00038Georgievskii, D. V.; Shamolin, M. V. 5 2015 Rigid body motion in a resisting medium modeling and analogues with vortex streets. Zbl 1340.76015Shamolin, M. V. 3 2015 Finsler spaces, bingles, polyingles, and their symmetry groups. Zbl 1341.53109Aidagulov, R. R.; Shamolin, M. V. 2 2015 Polynumbers, norms, metrics, and polyingles. Zbl 1341.53046Aidagulov, R. R.; Shamolin, M. V. 2 2015 Topology on polynumbers and fractals. Zbl 1359.37106Aĭdagulov, R. R.; Shamolin, M. V. 2 2015 On the construction of the general solution of a class of complex nonautonomous equations. Zbl 1354.34029Okunev, 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 1346.70007Shamolin, M. V. 2 2015 Dynamical pendulum-like nonconservative systems. Zbl 1302.70051Shamolin, Maxim V. 6 2014 Integrable systems on tangent bundle of a multidimensional sphere. Zbl 1353.70017Pokhodnya, N. V.; Shamolin, M. V. 3 2014 Mathematical modeling of a medium interaction onto rigid body and new two-parametric family of phase patterns. Zbl 1353.70011Andreev, A. V.; Shamolin, M. V. 2 2014 On a generalization of Arrow’s impossibility theorem. Zbl 1300.91028Polyakov, N. L.; Shamolin, M. V. 2 2014 Certain conditions of integrability of dynamical systems in transcendental functions. Zbl 1328.34004Pokhodnya, N. V.; Shamolin, M. V. 8 2013 Some questions of qualitative theory in dynamics of systems with the variable dissipation. Zbl 1338.37028Shamolin, M. V. 6 2013 On integrability in dynamic problems for a rigid body interacting with a medium. Zbl 1284.70010Shamolin, M. V. 5 2013 Studying the interphase zone in a certain singular-limit problem. Zbl 1321.35172Selivanova, N. Yu.; Shamolin, M. V. 4 2013 New case of integrability of dynamic equations on the tangent bundle of a 3-sphere. Zbl 1356.70011Shamolin, 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 1359.70059Shamolin, Maxim V. 3 2013 A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment. Zbl 1297.70003Shamolin, M. V. 3 2013 Local solvability of a one-phase problem with free boundary. Zbl 1302.35468Selivanova, N. Yu.; Shamolin, M. V. 2 2013 Local solvability of the capillary problem. Zbl 1291.35234Selivanova, N. Yu.; Shamolin, M. V. 2 2013 Quasi-stationary Stefan problem with values on the front depending on its geometry. Zbl 1291.35402Selivanova, N. Yu.; Shamolin, M. V. 1 2013 Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field. Zbl 1277.37104Shamolin, M. V. 26 2012 Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems. Zbl 1353.37121Trofimov, V. V.; Shamolin, M. V. 17 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 1289.70008Shamolin, M. V. 13 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 1260.00024Georgievskii, D. V.; Shamolin, M. V. 13 2012 Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies. Zbl 1278.70007Georgievskii, D. V.; Shamolin, M. V. 12 2012 New case of integrability in dynamics of multidimensional body. Zbl 1327.70009Pokhodnya, N. V.; Shamolin, M. V. 3 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 1353.70008Shamolin, M. V. 3 2012 Rigid body motion in a resisting medium. Zbl 1274.74112Shamolin, M. V. 15 2011 A multiparameter family of phase portraits in the dynamics of a rigid body interacting with a medium. Zbl 1433.70008Shamolin, M. V. 5 2011 Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field. Zbl 1288.70001Shamolin, M. V. 11 2010 New cases of integrability in the spatial dynamics of a rigid body. Zbl 1353.70018Shamolin, M. V. 9 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 1288.00055Georgievskii, D. V.; Shamolin, M. V. 8 2010 Averaging operators and real equations of hydromechanics. Zbl 1288.76004Aĭdagulov, R. R.; Shamolin, M. V. 6 2010 Integration formulas of tenth order and higher. Zbl 1304.65112Aidagulov, R. R.; Shamolin, M. V. 4 2010 Pseudodifferential operators in the theory of multiphase, multi-rate flows. Zbl 1288.35493Aĭdagulov, R. R.; Shamolin, M. V. 4 2010 On integrability in elementary functions of certain classes of complex nonautonomous equations. Zbl 1288.34004Okunev, Yu. M.; Shamolin, M. V. 2 2010 The case of complete integrability in the dynamics of a four-dimensional rigid body in a nonconservative field. Zbl 1356.70010Shamolin, M. V. 1 2010 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 1180.00019Georgievskii, D. V.; Shamolin, M. V. 20 2009 Dynamical systems with variable dissipation: approaches, methods, and applications. Zbl 1189.37022Shamolin, M. V. 14 2009 Stability of rectilinear translational motion of a rigid body in resisting medium. Zbl 1212.70023Shamolin, M. V. 10 2009 On integrability in elementary functions of certain classes of nonconservative dynamical systems. Zbl 1188.37003Shamolin, M. V. 9 2009 New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field. Zbl 1347.70010Shamolin, M. V. 8 2009 Groups of colors. Zbl 1214.16029Aidagulov, 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 1189.70045Shamolin, M. V. 17 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 1299.01007Georgievskii, D. V.; Shamolin, M. V. 14 2008 Integrability in elementary functions of some classes of dynamical systems. Zbl 1212.70011Shamolin, M. V. 13 2008 Some methods of analysis of the dynamic systems with the various dissipation in dynamics of a rigid body. Zbl 1393.37096Shamolin, Maxim V. 12 2008 Valeriĭ Vladimirovich Trofimov (1952–2003). Zbl 1153.01325Georgievskiĭ, D. V.; Shamolin, M. V. 11 2008 Three-parametric family of phase portraits in dynamics of a solid interacting with a medium. Zbl 1257.70015Shamolin, M. V. 6 2008 Manifolds of continuous structures. Zbl 1159.58001Aidagulov, R. R.; Shamolin, M. V. 2 2008 Archimedean uniform structures. Zbl 1166.22004Aidagulov, 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 1334.70001Shamolin, M. V. 23 2007 Some model problems of solid dynamics at its interaction with a medium. Zbl 1164.74395Shamolin, M. V. 14 2007 A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere. Zbl 1137.37325Shamolin, M. V. 10 2007 Comparison of Jacobi integrable cases of plane and spatial motion of a body in a medium at streamlining. Zbl 1100.74546Shamolin, M. V. 23 2005 An integrable case of dynamical equations on \(\text{so}(4)\times\mathbb R^4\). Zbl 1183.70019Shamolin, M. V. 5 2005 A refinement of the Conway algorithm. Zbl 1104.03037Aĭdagulov, R. R.; Shamolin, M. V. 4 2005 Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body. Zbl 1140.70456Shamolin, M. V. 28 2004 Geometric representation of motion in a problem on interaction of a body with a medium. Zbl 1116.74378Shamolin, M. V. 17 2004 New integrable cases and families of portraits in the plane and spatial dynamics of a rigid body interacting with a medium. Zbl 1067.70006Shamolin, M. V. 23 2003 First integrals of motion equations of a generalized gyroscope in \(\mathbb R^n\). Zbl 1127.70003Georgievsky, D. V.; Shamolin, M. V. 17 2003 Foundations of differential and topological diagnostics. Zbl 1067.93020Shamolin, M. V. 17 2003 Some questions of the qualitative theory of ordinary differential equations and dynamics of a rigid body interacting with a medium. Zbl 1006.34035Shamolin, M. V. 15 2002 On the integration of some classes of nonconservative systems. Zbl 1054.34503Shamolin, M. V. 3 2002 Cases of integrability of three-dimensional dynamic equations for a solid. Zbl 1010.70520Shamolin, M. V. 12 2001 Solving the problem of differential diagnostics by the method of statistical tests. Zbl 1074.70572Borisënok, I. T.; Shamolin, M. V. 6 2001 On limit sets of differential equations near singular critical points. Zbl 0968.34021Shamolin, M. V. 12 2000 New integrable, in the sense of Jacobi, cases in the dynamics of a rigid body interacting with a medium. Zbl 1065.70500Shamolin, M. V. 21 1999 Resolving a problem of differential diagnostics. Zbl 0967.93033Borisenok, I. T.; Shamolin, M. V. 16 1999 Robustness of dissipative systems and relative robustness and nonrobustness of systems with variable dissipation. Zbl 0968.34039Shamolin, M. V. 4 1999 On integrability using transcendental functions. Zbl 0925.34003Shamolin, M. V. 27 1998 Spatial topographical systems of Poincaré and comparison systems. Zbl 0915.58062Shamolin, M. V. 14 1997 Variety of phase portraits in the dynamics of a solid interacting with a resistant medium. Zbl 0900.70152Shamolin, M. V. 9 1996 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 36 Authors 81 Shamolin, Maksim Vladimirovich 6 Georgievskiĭ, Dmitriĭ Vladimirovich 5 Aidagulov, R. R. 4 Qi, Guoyuan 3 Hu, Jianbing 2 Okunev, Yu. M. 1 Aleksandrov, Aleksandr Yur’evich 1 Andriyanova, N. R. 1 Barbancho, Julio 1 Bazhenov, Valentin G. 1 Bragov, Anatoly M. 1 Burov, Aleksandr Anatol’evich 1 Chen, Guanrong 1 Córdoba, Antonio 1 Du, Shuping 1 Fernández Cañete, Javier 1 Gou, Ting 1 Karapetyan, Aleksandr Vladilenovich 1 Konstantinov, Aleksandr Yu. 1 Kotov, Vasiliy L. 1 Krugova, Elena P. 1 Kumar, Mukesh 1 Kumar, Virendra 1 Li, Ran 1 Lokshin, Boris Yakovlevich 1 Luque, Amalia 1 Pobedrya, Boris Efimovich 1 Polyakov, N. L. 1 Rozenblat, Grigory M. 1 Samsonov, Vitaly A. 1 Tikhonov, Alekseĭ Aleksandrovich 1 Trofimov, Valeriĭ Vladimirovich 1 Wang, Ze 1 Yadav, Sushil 1 Yue, Hong 1 Zhao, Yu all top 5 Cited in 23 Serials 49 Journal of Mathematical Sciences (New York) 11 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 7 Doklady Mathematics 4 Moscow University Mechanics Bulletin 3 Russian Journal of Mathematical Physics 3 Journal of Applied Mechanics and Technical Physics 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Journal of Applied Mathematics and Mechanics 2 Automation and Remote Control 2 Mechanics of Solids 1 Moscow University Mathematics Bulletin 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 International Applied Mechanics 1 Nonlinear Dynamics 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Differential Equations 1 Journal of Dynamical Systems and Geometric Theories 1 Advances in Mathematical Physics 1 International Journal of Structural Stability and Dynamics all top 5 Cited in 24 Fields 68 Mechanics of particles and systems (70-XX) 42 Dynamical systems and ergodic theory (37-XX) 11 Ordinary differential equations (34-XX) 10 Mechanics of deformable solids (74-XX) 7 Systems theory; control (93-XX) 4 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Computer science (68-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 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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