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Shamolin, Maksim Vladimirovich

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Author ID: shamolin.m-v Recent zbMATH articles by "Shamolin, Maksim Vladimirovich"
Published as: Shamolin, M. V.; Shamolin, Maxim V.; Shamolin, Maksim Vladimirovich
Homepage: http://shamolin2.imec.msu.ru/
External Links: ORCID · Wikidata · ResearchGate · Math-Net.Ru

Publications by Year

Citations contained in zbMATH Open

103 Publications have been cited 709 times in 93 Documents Cited by Year
On integrability using transcendental functions. Zbl 0925.34003
Shamolin, M. V.
26
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.
23
2007
Body motion in a resisting medium. Zbl 0705.70008
Samsonov, V. A.; Shamolin, M. V.
23
1989
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
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.
19
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.
18
2005
Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body. Zbl 1140.70456
Shamolin, M. V.
18
2004
First integrals of motion equations of a generalized gyroscope in \(\mathbb R^n\). Zbl 1127.70003
Georgievsky, D. V.; Shamolin, M. V.
17
2003
On the problem of motion of a body in a resistant medium. Zbl 0753.70007
Shamolin, M. V.
17
1992
Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems. Zbl 1353.37121
Trofimov, V. V.; Shamolin, M. V.
15
2012
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.
15
2008
Some model problems of solid dynamics at its interaction with a medium. Zbl 1164.74395
Shamolin, M. V.
14
2007
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
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.
14
2002
Foundations of differential and topological diagnostics. Zbl 1067.93020
Shamolin, M. V.
13
2003
Geometric representation of motion in a problem on interaction of a body with a medium. Zbl 1116.74378
Shamolin, M. V.
13
2004
Existence and uniqueness of trajectories having infinitely distant points as limit sets for dynamical systems on the plane. Zbl 0815.34002
Shamolin, M. V.
13
1993
Spatial topographical systems of Poincaré and comparison systems. Zbl 0915.58062
Shamolin, M. V.
12
1997
Resolving a problem of differential diagnostics. Zbl 0967.93033
Borisenok, I. T.; Shamolin, M. V.
12
1999
Rigid body motion in a resisting medium. Zbl 1274.74112
Shamolin, M. V.
12
2011
Cases of integrability of three-dimensional dynamic equations for a solid. Zbl 1010.70520
Shamolin, M. V.
12
2001
Integrability in elementary functions of some classes of dynamical systems. Zbl 1212.70011
Shamolin, M. V.
12
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 1289.70008
Shamolin, M. V.
11
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.
11
2012
On limit sets of differential equations near singular critical points. Zbl 0968.34021
Shamolin, M. V.
11
2000
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.
11
2009
Dynamical systems with variable dissipation: approaches, methods, and applications. Zbl 1189.37022
Shamolin, M. V.
11
2009
Valeriĭ Vladimirovich Trofimov (1952–2003). Zbl 1153.01325
Georgievskiĭ, D. V.; Shamolin, M. V.
11
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.
11
2008
A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere. Zbl 1137.37325
Shamolin, M. V.
10
2007
Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies. Zbl 1278.70007
Georgievskii, D. V.; Shamolin, M. V.
10
2012
Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field. Zbl 1288.70001
Shamolin, M. V.
10
2010
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 integrability in the spatial dynamics of a rigid body. Zbl 1353.70018
Shamolin, M. V.
9
2010
Stability of rectilinear translational motion of a rigid body in resisting medium. Zbl 1212.70023
Shamolin, M. V.
8
2009
On integrability in elementary functions of certain classes of nonconservative dynamical systems. Zbl 1188.37003
Shamolin, M. V.
8
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.
8
2009
Certain conditions of integrability of dynamical systems in transcendental functions. Zbl 1328.34004
Pokhodnya, 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 1288.00055
Georgievskii, D. V.; Shamolin, M. V.
7
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 0820.76018
Shamolin, M. V.
7
1993
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
An integrable case of dynamical equations on \(\text{so}(4)\times\mathbb R^4\). Zbl 1183.70019
Shamolin, M. V.
5
2005
Integrable systems with variable dissipation on the tangent bundle of a sphere. Zbl 1353.70022
Shamolin, M. V.
5
2016
Problems of differential and topological diagnostics. I: Motion equations and classification of malfunctions. Zbl 1429.93260
Shamolin, M. V.
5
2019
Dynamical pendulum-like nonconservative systems. Zbl 1302.70051
Shamolin, Maxim V.
5
2014
New two-parametric family of phase portraits for a body moving in a medium. Zbl 0855.70014
Shamolin, M. V.
5
1994
Variety of phase portraits in the dynamics of a solid interacting with a resistant medium. Zbl 0900.70152
Shamolin, M. V.
5
1996
Solving the problem of differential diagnostics by the method of statistical tests. Zbl 1074.70572
Borisënok, I. T.; Shamolin, M. V.
5
2001
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.
5
2015
Three-parametric family of phase portraits in dynamics of a solid interacting with a medium. Zbl 1257.70015
Shamolin, M. V.
5
2008
Cases of integrability corresponding to the pendulum motion in three-dimensional space. Zbl 1401.70010
Shamolin, M. V.
5
2016
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.
5
1996
Groups of colors. Zbl 1214.16029
Aidagulov, R. R.; Shamolin, M. V.
5
2009
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
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
Pseudodifferential operators in the theory of multiphase, multi-rate flows. Zbl 1288.35493
Aĭdagulov, R. R.; Shamolin, M. V.
4
2010
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.
4
1996
The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere. Zbl 1404.37071
Shamolin, M. V.
4
2018
A multiparameter family of phase portraits in the dynamics of a rigid body interacting with a medium. Zbl 1433.70008
Shamolin, M. V.
4
2011
New case of integrability of dynamic equations on the tangent bundle of a 3-sphere. Zbl 1356.70011
Shamolin, M. V.
3
2013
On the integration of some classes of nonconservative systems. Zbl 1054.34503
Shamolin, M. V.
3
2002
Studying the interphase zone in a certain singular-limit problem. Zbl 1321.35172
Selivanova, N. Yu.; Shamolin, 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 1353.70008
Shamolin, M. V.
3
2012
Robustness of dissipative systems and relative robustness and nonrobustness of systems with variable dissipation. Zbl 0968.34039
Shamolin, M. V.
3
1999
Rigid body motion in a resisting medium modeling and analogues with vortex streets. Zbl 1340.76015
Shamolin, M. V.
3
2015
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
Different topological types of trajectories in the problem of body motion in a resisting medium. Zbl 0850.70083
Shamolin, M. V.
3
1992
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
New case of integrability in dynamics of multidimensional body. Zbl 1327.70009
Pokhodnya, N. V.; Shamolin, M. V.
3
2012
Integrable systems on tangent bundle of a multidimensional sphere. Zbl 1353.70017
Pokhodnya, N. V.; Shamolin, M. V.
3
2014
Integrable dynamic systems with dissipation and finitely many degrees of freedom. Zbl 1403.37069
Shamolin, M. V.
2
2018
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
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.
2
2014
Problems of differential and topological diagnostics. III: The checking problem. Zbl 1455.93140
Shamolin, Maksim Vladimirovich
2
2019
Low-dimensional and multidimensional pendulums in nonconservative fields. I. Zbl 1423.70019
Shamolin, M. V.
2
2018
On integrability in elementary functions of certain classes of complex nonautonomous equations. Zbl 1288.34004
Okunev, Yu. M.; Shamolin, M. V.
2
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 1381.00023
2
2017
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
Manifolds of continuous structures. Zbl 1159.58001
Aidagulov, R. R.; Shamolin, M. V.
2
2008
On a generalization of Arrow’s impossibility theorem. Zbl 1300.91028
Polyakov, N. L.; Shamolin, M. V.
2
2014
Integrable third and fifth order dynamical systems with dissipation. Zbl 1416.37056
Shamolin, M. V.
2
2019
Integrable systems with dissipation and two and three degrees of freedom. Zbl 1403.37068
Shamolin, M. V.
1
2018
Quasi-stationary Stefan problem with values on the front depending on its geometry. Zbl 1291.35402
Selivanova, N. Yu.; Shamolin, M. V.
1
2013
Problems of differential and topological diagnostics. II: Problem of differential diagnostics. Zbl 1455.93139
Shamolin, Maksim Vladimirovich
1
2019
Low-dimensional and multidimensional pendulums in nonconservative fields. II. Zbl 1423.70020
Shamolin, M. V.
1
2018
Problems of differential and topological diagnostics. IV: The case of exact trajectorial measurements. Zbl 1458.93038
Shamolin, Maksim Vladimirovich
1
2020
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
Pendulum systems with dynamical symmetry. Zbl 1405.70005
Lokshin, B. Ya.; Samsonov, V. A.; 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 variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications. Zbl 1416.70009
Shamolin, M. V.
1
2018
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.
1
2017
Problems of differential and topological diagnostics. IV: The case of exact trajectorial measurements. Zbl 1458.93038
Shamolin, Maksim Vladimirovich
1
2020
Integrable seventh and ninth order dynamic systems with dissipation. Zbl 1445.37041
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. III: The checking problem. Zbl 1455.93140
Shamolin, Maksim Vladimirovich
2
2019
Integrable third and fifth order dynamical systems with dissipation. Zbl 1416.37056
Shamolin, M. V.
2
2019
Problems of differential and topological diagnostics. II: Problem of differential diagnostics. Zbl 1455.93139
Shamolin, Maksim Vladimirovich
1
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 dynamic systems with dissipation and finitely many degrees of freedom. Zbl 1403.37069
Shamolin, M. V.
2
2018
Low-dimensional and multidimensional pendulums in nonconservative fields. I. Zbl 1423.70019
Shamolin, M. V.
2
2018
Integrable systems with dissipation and two and three degrees of freedom. Zbl 1403.37068
Shamolin, M. V.
1
2018
Low-dimensional and multidimensional pendulums in nonconservative fields. II. Zbl 1423.70020
Shamolin, M. V.
1
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
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 1405.70006
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
Pendulum systems with dynamical symmetry. Zbl 1405.70005
Lokshin, B. Ya.; Samsonov, V. A.; 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
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.
1
2017
Integrable systems with variable dissipation on the tangent bundle of a sphere. Zbl 1353.70022
Shamolin, M. V.
5
2016
Cases of integrability corresponding to the pendulum motion in three-dimensional space. Zbl 1401.70010
Shamolin, M. V.
5
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
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.
5
2015
Rigid body motion in a resisting medium modeling and analogues with vortex streets. Zbl 1340.76015
Shamolin, M. V.
3
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
Integrable systems on tangent bundle of a multidimensional sphere. Zbl 1353.70017
Pokhodnya, 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 1353.70011
Andreev, A. V.; Shamolin, M. V.
2
2014
On a generalization of Arrow’s impossibility theorem. Zbl 1300.91028
Polyakov, N. L.; Shamolin, M. V.
2
2014
Certain conditions of integrability of dynamical systems in transcendental functions. Zbl 1328.34004
Pokhodnya, N. V.; Shamolin, M. V.
8
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
New case of integrability of dynamic equations on the tangent bundle of a 3-sphere. Zbl 1356.70011
Shamolin, M. V.
3
2013
Studying the interphase zone in a certain singular-limit problem. Zbl 1321.35172
Selivanova, N. Yu.; 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
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
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.
15
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.
11
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.
11
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.
10
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
New case of integrability in dynamics of multidimensional body. Zbl 1327.70009
Pokhodnya, N. V.; 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.
4
2011
Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field. Zbl 1288.70001
Shamolin, M. V.
10
2010
New cases of integrability in the spatial dynamics of a rigid body. Zbl 1353.70018
Shamolin, 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 1288.00055
Georgievskii, D. V.; Shamolin, M. V.
7
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
The case of complete integrability in the dynamics of a four-dimensional rigid body in a nonconservative field. Zbl 1356.70010
Shamolin, 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 1180.00019
Georgievskii, D. V.; Shamolin, M. V.
11
2009
Dynamical systems with variable dissipation: approaches, methods, and applications. Zbl 1189.37022
Shamolin, M. V.
11
2009
Stability of rectilinear translational motion of a rigid body in resisting medium. Zbl 1212.70023
Shamolin, M. V.
8
2009
On integrability in elementary functions of certain classes of nonconservative dynamical systems. Zbl 1188.37003
Shamolin, M. V.
8
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.
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.
15
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
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.
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.
5
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.
23
2007
Some model problems of solid dynamics at its interaction with a medium. Zbl 1164.74395
Shamolin, M. V.
14
2007
A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere. Zbl 1137.37325
Shamolin, M. V.
10
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.
18
2005
An integrable case of dynamical equations on \(\text{so}(4)\times\mathbb R^4\). Zbl 1183.70019
Shamolin, M. V.
5
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
Geometric representation of motion in a problem on interaction of a body with a medium. Zbl 1116.74378
Shamolin, M. V.
13
2004
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.
17
2003
Foundations of differential and topological diagnostics. Zbl 1067.93020
Shamolin, M. V.
13
2003
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.
14
2002
On the integration of some classes of nonconservative systems. Zbl 1054.34503
Shamolin, M. V.
3
2002
Cases of integrability of three-dimensional dynamic equations for a solid. Zbl 1010.70520
Shamolin, M. V.
12
2001
Solving the problem of differential diagnostics by the method of statistical tests. Zbl 1074.70572
Borisënok, I. T.; Shamolin, M. V.
5
2001
On limit sets of differential equations near singular critical points. Zbl 0968.34021
Shamolin, M. V.
11
2000
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.
19
1999
Resolving a problem of differential diagnostics. Zbl 0967.93033
Borisenok, I. T.; Shamolin, M. V.
12
1999
Robustness of dissipative systems and relative robustness and nonrobustness of systems with variable dissipation. Zbl 0968.34039
Shamolin, M. V.
3
1999
On integrability using transcendental functions. Zbl 0925.34003
Shamolin, M. V.
26
1998
Spatial topographical systems of Poincaré and comparison systems. Zbl 0915.58062
Shamolin, M. V.
12
1997
Variety of phase portraits in the dynamics of a solid interacting with a resistant medium. Zbl 0900.70152
Shamolin, M. V.
5
1996
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.
5
1996
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.
4
1996
New two-parametric family of phase portraits for a body moving in a medium. Zbl 0855.70014
Shamolin, M. V.
5
1994
Existence and uniqueness of trajectories having infinitely distant points as limit sets for dynamical systems on the plane. Zbl 0815.34002
Shamolin, M. V.
13
1993
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.
7
1993
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