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Mamaev Ivan Sergeevich

Total publications: 131 (128)
in MathSciNet: 52 (52)
in zbMATH: 36 (36)
in Web of Science: 58 (57)
in Scopus: 43 (42)
Cited articles: 100
Citations in Math-Net.Ru: 964
Citations in Web of Science: 863
Citations in Scopus: 316
Presentations: 1

Number of views:
This page:1675
Abstract pages:19117
Full texts:4434
References:2868
Doctor of physico-mathematical sciences
E-mail: ,

http://www.mathnet.ru/eng/person9251
http://scholar.google.com/citations?user=Q2g22ToAAAAJ&hl=en
http://zbmath.org/authors/?q=ai:mamaev.ivan-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/640461
http://elibrary.ru/author_items.asp?spin=3135-2575
http://www.researcherid.com/rid/M-8047-2014
http://www.scopus.com/authid/detail.url?authorId=6603881879

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   2018
1. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “A Nonholonomic Model of the Paul Trap”, Regul. Chaotic Dyn., 23:3 (2018), 339–354  mathnet  crossref  mathscinet  adsnasa  isi  scopus
2. Alexey V. Borisov, Ivan S. Mamaev, Eugeny V. Vetchanin, “Dynamics of a Smooth Profile in a Medium with Friction in the Presence of Parametric Excitation”, Regul. Chaotic Dyn., 23:4 (2018), 480–502  mathnet  crossref  mathscinet  isi  scopus
3. Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, “Dynamics of Three Vortices on a Sphere”, Regul. Chaotic Dyn., 23:1 (2018), 127–134  mathnet  crossref  mathscinet  isi (cited: 1)  scopus
4. Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability”, Regul. Chaotic Dyn., 23:5 (2018), 613–636  mathnet  crossref  isi  scopus
5. A. V. Borisov, L. C. Garsía-Naranjo, I. S. Mamaev, J. Montaldi, “Reduction and relative equilibria for the two-body problem on spaces of constant curvature”, Celest. Mech. Dyn. Astr., 130 (2018), 43 , 36 pp.  mathnet  crossref  mathscinet  isi  scopus
6. E. V. Vetchanin, I. S. Mamaev, “Upravlenie profilem Zhukovskogo”, Regul. Chaotic Dyn., 2018 (to appear)  mathnet
7. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Invariant measure and the probability of a fall in the problem of an inhomogeneous disk rolling on a plane”, Regul. Chaotic Dyn., 2018 (to appear)  mathnet

   2017
8. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “The HessAppelrot case and quantization of the rotation number”, Regular and Chaotic Dynamics, 22:2 (2017), 180–196  mathnet  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus (cited: 1)
9. Alexey V. Borisov, Ivan S. Mamaev, “An Inhomogeneous Chaplygin Sleigh”, Regul. Chaotic Dyn., 22:4 (2017), 435–447  mathnet (cited: 4)  crossref  mathscinet  isi (cited: 3)  scopus (cited: 4)
10. A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics”, Russian Math. Surveys, 72:5 (2017), 783–840  mathnet  crossref  crossref  mathscinet  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 3)
11. E. V. Vetchanin, I. S. Mamaev, “Optimal Control of the Motion of a Helical Body in a Liquid Using Rotors”, Russ. J. Math. Phys., 24:3 (2017), 399–411  mathnet  crossref  isi  scopus
12. A. V. Borisov, I. S. Mamaev, “An inhomogeneous Chaplygin sleigh”, Nelin. Dinam., 13:4 (2017), 625–639  mathnet  crossref  elib
13. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration”, Regul. Chaotic Dyn., 22:8 (2017), 955–975  mathnet (cited: 2)  crossref  isi (cited: 2)  scopus (cited: 3)
14. Evgeny V. Vetchanin, Ivan S. Mamaev, “Dynamics of Two Point Vortices in an External Compressible Shear Flow”, Regul. Chaotic Dyn., 22:8 (2017), 893–908  mathnet (cited: 1)  crossref  isi (cited: 2)  scopus (cited: 2)
15. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “The Hamilton principle and the rolling motion of a symmetric ball”, Doklady Physics, 62:6 (2017), 314–317  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2015
16. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On the HadamardHamel problem and the dynamics of wheeled vehicles”, Regul. Chaotic Dyn., 20:6 (2015), 752–766  mathnet (cited: 8)  mathnet (cited: 8)  crossref  mathscinet (cited: 1)  adsnasa  isi (cited: 11)  elib  scopus (cited: 14)

   2016
17. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Hojman Construction and Hamiltonization of Nonholonomic Systems”, SIGMA, 12 (2016), 12, 12–19 , 19 pp., arXiv: 1510.00181  mathnet (cited: 5)  crossref  isi (cited: 5)  scopus (cited: 5)
18. Alexey V. Borisov, Ivan S. Mamaev, “Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics”, Regul. Chaotic Dyn., 21:2 (2016), 232–248  mathnet (cited: 3)  crossref  mathscinet (cited: 5)  zmath  isi (cited: 3)  elib  scopus (cited: 3)
19. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Dynamics of the Chaplygin sleigh on a cylinder”, Regular and Chaotic Dynamics, 21:1 (2016), 136–146  mathnet  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi (cited: 5)  elib  elib  scopus (cited: 6)
20. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Vortex Sources in a Deformation Flow”, Regul. Chaotic Dyn., 21:3 (2016), 367–376  mathnet (cited: 4)  crossref  mathscinet (cited: 1)  isi (cited: 5)  scopus (cited: 5)
21. A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Historical and critical review of the development of nonholonomic mechanics: the classical period”, Regular and Chaotic Dynamics, 21:4 (2016), 455–476  mathnet  mathnet  crossref  crossref  zmath  isi (cited: 7)  elib  scopus (cited: 8)
22. T. B. Ivanova, I. S. Mamaev, “Dynamics of a Painlevé–Appell system”, J. Appl. Math. Mech., 80:1 (2016), 7–15  mathnet  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 2)
23. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “The Hess–Appelrot system and its nonholonomic analogs”, Proc. Steklov Inst. Math., 294 (2016), 252–275  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  elib  scopus (cited: 4)
24. Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “The Spatial Problem of 2 Bodies on a Sphere. Reduction and Stochasticity”, Regul. Chaotic Dyn., 21:5 (2016), 556–580  mathnet (cited: 6)  crossref  mathscinet (cited: 1)  zmath  isi (cited: 8)  elib  scopus (cited: 8)
25. A. V. Borisov, I. S. Mamaev, “Rigid Body Dynamics in Non-Euclidean Spaces”, Russ. J. Math. Phys., 23:4 (2016), 431–454  mathnet  crossref  isi (cited: 4)  scopus (cited: 3)
26. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Generalizations of the Kovalevskaya case and quaternions”, Proc. Steklov Inst. Math., 295 (2016), 33–44  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
27. I. A. Bizyaev, A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups”, Regular and Chaotic Dynamics, 21:6 (2016), 759–774  mathnet  mathnet  crossref  crossref  mathscinet  isi  elib  scopus (cited: 3)
28. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Dynamics of the Chaplygin sleigh on a cylinder”, Nelin. Dinam., 12:4 (2016), 675–687  mathnet  elib
29. A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Historical and critical review of the development of nonholonomic mechanics: the classical period”, Nelin. Dinam., 12:3 (2016), 385–411  mathnet  elib
30. Evgeny V. Vetchanin, Alexander A. Kilin, Ivan S. Mamaev, “Control of the Motion of a Helical Body in a Fluid Using Rotors”, Regul. Chaotic Dyn., 21:7-8 (2016), 874–884  mathnet (cited: 5)  crossref  isi (cited: 3)  scopus (cited: 5)

   2015
31. A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Geometrisation of Chaplygin's reducing multiplier theorem”, Nonlinearity, 28:7 (2015), 2307–2318  mathnet (cited: 9)  crossref  isi (cited: 13)  elib (cited: 13)  scopus (cited: 16)
32. A. V. Borisov, I. S. Mamaev, A. A. Kilin, I. A. Bizyaev, “Qualutative analysis of the dynamics of a wheeled vehicle”, Regul. Chaotic Dyn., 20:6 (2015), 739–751  mathnet (cited: 7)  crossref  mathscinet (cited: 3)  adsnasa  isi (cited: 7)  scopus (cited: 9)
33. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Hamiltonization of elementary nonholonomic systems”, Russ. J. Math. Phys., 22:4 (2015), 444–453  mathnet (cited: 1)  crossref  mathscinet (cited: 1)  adsnasa  isi (cited: 4)  elib  scopus (cited: 4)
34. A. V. Borisov, I. S. Mamaev, “Equations of motion of non-holonomic systems”, Russian Math. Surveys, 70:6 (2015), 1167–1169  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 1)
35. I. A. Bizyaev, A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Topology and bifurcations in nonholonomic mechanics”, International Journal of Bifurcation and Chaos, 25:10 (2015), 15300  mathnet  crossref  isi (cited: 9)  elib  scopus (cited: 10)
36. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Dynamics and Control of an Omniwheel Vehicle”, Regul. Chaotic Dyn., 20:2 (2015), 153–172  mathnet (cited: 15)  crossref  mathscinet (cited: 7)  zmath  adsnasa  isi (cited: 13)  scopus (cited: 14)
37. A. V. Borisov, I. S. Mamaev, “Symmetries and reduction in nonholonomic mechanics”, Regul. Chaotic Dyn., 20:5 (2015), 553–604  mathnet  mathnet  crossref  mathscinet  zmath  isi (cited: 18)  elib  scopus
38. A. V. Borisov, Yu. L. Karavaev, I. S. Mamaev, N. N. Erdakova, T. B. Ivanova, V. V. Tarasov, “Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane”, Regul. Chaotic Dyn., 20:5 (2015), 518–541  mathnet  mathnet  crossref  mathscinet  zmath  isi (cited: 13)  elib  scopus (cited: 16)
39. A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “The Jacobi integral in nonholonomic mechanics”, Regul. Chaotic Dyn., 20:3 (2015), 383–400  mathnet  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 21)  elib  scopus
40. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Figures of equilibrium of an inhomogeneous self-gravitating fluid”, Celest. Mech. Dyn. Astr., 122:1 (2015), 1–26  mathnet  crossref  mathscinet
41. A. V. Borisov, I. S. Mamaev, “A new integrable system of nonholonomic mechanics”, Dokl. Math., 60:6 (2015), 269–271  mathnet  crossref  crossref  isi  elib
42. A. V. Borisov, I. S. Mamaev, “Notes on new friction models and nonholonomic mechanics”, Phys. Usp., 58:12 (2015), 1220–1222  mathnet  crossref  crossref  adsnasa  isi  elib  scopus

   2014
43. A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “On the Nonlinear Poisson Bracket Arising in Nonholonomic Mechanics”, Math. Notes, 95:3 (2014), 308–315  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
44. Alexey V. Borisov, Nadezhda N. Erdakova, Tatiana B. Ivanova, Ivan S. Mamaev, “On the dynamics of a body with an axisymmetric base sliding on a rough plane”, Nelin. Dinam., 10:4 (2014), 483–495  mathnet  elib
45. Alexey V. Borisov, Ivan S. Mamaev, “Invariant measure and hamiltonization of nonholonomic systems”, Nelin. Dinam., 10:3 (2014), 355–359  mathnet  elib
46. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of three vortex sources”, Nelin. Dinam., 10:3 (2014), 319–327  mathnet  elib
47. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Figures of equilibrium of an inhomogeneous self-gravitating fluid”, Nelin. Dinam., 10:1 (2014), 73–100  mathnet  elib
48. A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “Non-holonomic dynamics and Poisson geometry”, Russian Math. Surveys, 69:3 (2014), 481–538  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 10)
49. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Superintegrable Generalizations of the Kepler and Hook Problems”, Regul. Chaotic Dyn., 19:3 (2014), 415–434  mathnet (cited: 9)  crossref  mathscinet (cited: 4)  zmath  isi (cited: 9)
50. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Nonholonomic Systems Consisting of a Spherical Shell with a Moving Rigid Body Inside”, Regul. Chaotic Dyn., 19:2 (2014), 198–213  mathnet (cited: 27)  crossref  mathscinet (cited: 13)  zmath  isi (cited: 26)
51. Ivan S. Mamaev, Tatiana B. Ivanova, “The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction”, Regul. Chaotic Dyn., 19:1 (2014), 116–139  mathnet (cited: 9)  crossref  mathscinet (cited: 4)  zmath  isi (cited: 10)
52. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Three Vortex Sources”, Regul. Chaotic Dyn., 19:6 (2014), 694–701  mathnet (cited: 9)  crossref  mathscinet (cited: 5)  zmath  isi (cited: 10)
53. Alexey V. Borisov, Nadezhda N. Erdakova, Tatiana B. Ivanova, Ivan S. Mamaev, “The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane”, Regul. Chaotic Dyn., 19:6 (2014), 607–634  mathnet (cited: 9)  crossref  mathscinet (cited: 5)  zmath  isi (cited: 10)
54. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, Valentin A. Tenenev, “The dynamics of vortex rings: leapfrogging in an ideal and viscous fluid”, Fluid Dyn. Res., 46:3 (2014), 31415 , 16 pp.  mathnet  crossref  mathscinet
55. Nadezhda N. Erdakova, Ivan S. Mamaev, “On the dynamics of point vortices in an annular region”, Fluid Dyn. Res., 46:3 (2014), 31420 , 7 pp.  mathnet  crossref  zmath

   2013
56. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The problem of drift and recurrence for the rolling Chaplygin ball”, Nelin. Dinam., 9:4 (2013), 721–754  mathnet  elib
57. A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Geometrization of the Chaplygin reducing-multiplier theorem”, Nelin. Dinam., 9:4 (2013), 627–640  mathnet  elib
58. Ivan S. Mamaev, Tatyana B. Ivanova, “The dynamics of rigid body whose sharp edge is in contact with a inclined surface with dry friction”, Nelin. Dinam., 9:3 (2013), 567–593  mathnet  elib
59. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside”, Nelin. Dinam., 9:3 (2013), 547–566  mathnet  elib
60. Nadezhda N. Erdakova, Ivan S. Mamaev, “On the dynamics of a body with an axisymmetric base sliding on a rough plane”, Nelin. Dinam., 9:3 (2013), 521–545  mathnet  elib
61. Alexey V. Borisov, Ivan S. Mamaev, Yury L. Karavaev, “On the loss of contact of the Euler disk”, Nelin. Dinam., 9:3 (2013), 499–506  mathnet  elib
62. Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere”, Nelin. Dinam., 9:2 (2013), 141–202  mathnet  elib
63. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to control the Chaplygin ball using rotors. II”, Nelin. Dinam., 9:1 (2013), 59–76  mathnet  elib
64. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to Control the Chaplygin Ball Using Rotors. II”, Regul. Chaotic Dyn., 18:1 (2013), 144–158  mathnet (cited: 50)  crossref  mathscinet (cited: 19)  zmath  isi (cited: 38)
65. Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev, “The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid”, Regul. Chaotic Dyn., 18:1 (2013), 100–117  mathnet (cited: 20)  crossref  mathscinet (cited: 5)  zmath  isi (cited: 15)
66. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The Dynamics of Vortex Rings: Leapfrogging, Choreographies and the Stability Problem”, Regul. Chaotic Dyn., 18:1 (2013), 33–62  mathnet (cited: 12)  crossref  mathscinet (cited: 2)  zmath  isi (cited: 13)
67. Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of the Chaplygin Ball with a Fluid-filled Cavity”, Regul. Chaotic Dyn., 18:5 (2013), 490–496  mathnet (cited: 9)  crossref  mathscinet (cited: 7)  zmath  isi (cited: 7)
68. Alexey V. Borisov, Ivan S. Mamaev, “Topological Analysis of an Integrable System Related to the Rolling of a Ball on a Sphere”, Regul. Chaotic Dyn., 18:4 (2013), 356–371  mathnet (cited: 21)  crossref  mathscinet (cited: 15)  zmath  isi (cited: 19)
69. Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “The Hierarchy of Dynamics of a Rigid Body Rolling without Slipping and Spinning on a Plane and a Sphere”, Regul. Chaotic Dyn., 18:3 (2013), 277–328  mathnet (cited: 60)  crossref  mathscinet (cited: 32)  zmath  isi (cited: 48)
70. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The Problem of Drift and Recurrence for the Rolling Chaplygin Ball”, Regul. Chaotic Dyn., 18:6 (2013), 832–859  mathnet (cited: 34)  crossref  mathscinet (cited: 20)  zmath  isi (cited: 29)
71. A. V. Borisov, I. S. Mamaev, D. V. Treschev, “Rolling of a rigid body without slipping and spinning: kinematics and dynamics”, J. Appl. Nonlinear Dyn., 2:2 (2013), 161–173  mathnet  crossref  zmath

   2012
72. Alexey V. Borisov, Ivan S. Mamaev, “Topological analysis of one integrable system related to the rolling of a ball over a sphere”, Nelin. Dinam., 8:5 (2012), 957–975  mathnet  elib
73. Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev, “The motion of a body with variable mass geometry in a viscous fluid”, Nelin. Dinam., 8:4 (2012), 815–836  mathnet  elib

   2013
74. Alexey V. Borisov, Ivan S. Mamaev, Dmitrii V. Treschev, “Rolling of a rigid body without slipping and spinning: kinematics and dynamics”, J. Appl. Nonlinear Dyn., 2:2 (2013), 161–173  mathnet  mathnet  crossref  zmath  elib

   2012
75. Alexey V. Bolsinov, Alexey V. Borisov, Ivan S. Mamaev, “Rolling without spinning of a ball on a plane: absence of an invariant measure in a system with a complete set of first integrals”, Nelin. Dinam., 8:3 (2012), 605–616  mathnet  elib
76. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “How to control the Chaplygin sphere using rotors”, Nelin. Dinam., 8:2 (2012), 289–307  mathnet  elib
77. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “The dynamics of vortex rings: Leapfrogging, choreographies and the stability problem”, Nelin. Dinam., 8:1 (2012), 113–147  mathnet  elib
78. A. V. Borisov, I. S. Mamaev, “The dynamics of the Chaplygin ball with a fluid-filled cavity”, Nelin. Dinam., 8:1 (2012), 103–111  mathnet  elib
79. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to control Chaplygins sphere using rotors”, Regul. Chaotic Dyn., 17:3-4 (2012), 258–272  mathnet (cited: 53)  crossref  mathscinet
80. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Generalized Chaplygins transformation and explicit integration of a system with a spherical support”, Regul. Chaotic Dyn., 17:2 (2012), 170–190  mathnet (cited: 17)  crossref  zmath
81. Alexey V. Borisov, Ivan S. Mamaev, “Two non-holonomic integrable problems tracing back to Chaplygin”, Regul. Chaotic Dyn., 17:2 (2012), 191–198  mathnet (cited: 9)  crossref  zmath
82. Alexey V. Bolsinov, Alexey V. Borisov, Ivan S. Mamaev, “Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals”, Regul. Chaotic Dyn., 17:6 (2012), 571–579  mathnet (cited: 22)  crossref  zmath

   2011
83. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “An omni-wheel vehicle on a plane and a sphere”, Nelin. Dinam., 7:4 (2011), 785–801  mathnet  elib
84. A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “The bifurcation analysis and the Conley index in mechanics”, Nelin. Dinam., 7:3 (2011), 649–681  mathnet  elib
85. A. V. Borisov, I. S. Mamaev, “Two non-holonomic integrable systems of coupled rigid bodies”, Nelin. Dinam., 7:3 (2011), 559–568  mathnet  elib
86. A. V. Borisov, L. A. Gazizullina, I. S. Mamaev, “On V. A. Steklov's legacy in classical mechanics”, Nelin. Dinam., 7:2 (2011), 389–403  mathnet  elib
87. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Generalized Chaplygins transformation and explicit integration of a system with a spherical support”, Nelin. Dinam., 7:2 (2011), 313–338  mathnet  elib
88. A. V. Borisov, I. S. Mamaev, A. V. Vas'kina, “Stability of new relative equilibria of the system of three point vortices in a circular domain”, Nelin. Dinam., 7:1 (2011), 119–138  mathnet  elib

   2010
89. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Rolling of a homogeneous ball over a dynamically asymmetric sphere”, Nelin. Dinam., 6:4 (2010), 869–889  mathnet  elib
90. A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds”, Nelin. Dinam., 6:4 (2010), 829–854  mathnet  elib
91. A. V. Borisov, I. S. Mamaev, T. B. Ivanova, “Stability of a liquid self-gravitating elliptic cylinder with intrinsic rotation”, Nelin. Dinam., 6:4 (2010), 807–822  mathnet  elib
92. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Dynamic advection”, Nelin. Dinam., 6:3 (2010), 521–530  mathnet  elib
93. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On the model of non-holonomic billiard”, Nelin. Dinam., 6:2 (2010), 373–385  mathnet  elib
94. V. V. Vaskin, A. V. Vaskina, I. S. Mamaev, “Problems of stability and asymptotic behavior of vortex patches on the plane”, Nelin. Dinam., 6:2 (2010), 327–343  mathnet  elib
95. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Hamiltonian representation and integrability of the Suslov problem”, Nelin. Dinam., 6:1 (2010), 127–142  mathnet  elib
96. A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Topology and stability of integrable systems”, Russian Math. Surveys, 65:2 (2010), 259–318  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 42)  elib (cited: 12)  elib (cited: 12)  scopus (cited: 26)
97. A. V. Borisov, S. G. Lutsenko, I. S. Mamaev, “Dynamics of a wheeled carriage on a plane”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 4, 39–48  mathnet
98. I. S. Mamaev, “Method of discrete vortices in statistical vortex dynamics as a paradigm of computer methods of analysis”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 146–155  mathnet
99. A. V. Borisov, I. S. Mamaev, Nelin. Dinam., 6:4 (2010), 893–895  mathnet
100. A. V. Borisov, S. V. Bolotin, A. A. Kilin, I. S. Mamaev, D. V. Treschev, “Valery V. Kozlov: On the sixtieth birthday”, Nelin. Dinam., 6:3 (2010), 461–488  mathnet  elib

   2009
101. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462  mathnet  elib
102. V. V. Vaskin, N. N. Erdakova, I. S. Mamaev, “Statistical mechanics of nonlinear dynamical systems”, Nelin. Dinam., 5:3 (2009), 385–402  mathnet  elib
103. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Coupled motion of a rigid body and point vortices on a sphere”, Nelin. Dinam., 5:3 (2009), 319–343  mathnet  elib
104. A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Nelin. Dinam., 5:2 (2009), 145–158  mathnet  elib
105. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Multiparticle systems. The algebra of integrals and integrable cases”, Nelin. Dinam., 5:1 (2009), 53–82  mathnet  elib
106. I. S. Mamaev, “Parallel calculation methods for statistical mechanics problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 4, 167–175  mathnet
107. I. S. Mamaev, “Multipurpose software system for research of mechanical systems with nonholonomic constraints”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 2, 147–160  mathnet

   2008
108. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Algebraic reduction of systems on two- and three-dimensional spheres”, Nelin. Dinam., 4:4 (2008), 407–416  mathnet  elib
109. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids”, Nelin. Dinam., 4:4 (2008), 363–407  mathnet  elib
110. A. V. Borisov, I. S. Mamaev, “Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems”, Nelin. Dinam., 4:3 (2008), 223–280  mathnet  elib

   2007
111. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Motion of two spheres in ideal fluid. I. Equations of motions in the Euclidean space. First integrals and reduction”, Nelin. Dinam., 3:4 (2007), 411–422  mathnet  elib
112. A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “Asymptotic stability and associated problems of dynamics of falling rigid body”, Nelin. Dinam., 3:3 (2007), 255–296  mathnet  elib
113. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “A new integrable problem of motion of point vortices on the sphere”, Nelin. Dinam., 3:2 (2007), 211–223  mathnet  elib
114. A. V. Borisov, I. S. Mamaev, “On isomorphisms of some integrable systems on a plane and a sphere”, Nelin. Dinam., 3:1 (2007), 49–56  mathnet  elib
115. A. V. Borisov, I. S. Mamaev, “Isomorphism and Hamilton representation of some nonholonomic systems”, Siberian Math. J., 48:1 (2007), 26–36  mathnet  crossref  mathscinet  zmath  isi (cited: 24)  elib (cited: 24)  elib (cited: 24)  scopus (cited: 28)

   2006
116. A. V. Borisov, I. S. Mamaev, “An Integrable System with a Nonintegrable Constraint”, Math. Notes, 80:1 (2006), 127–130  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
117. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On a nonholonomic dynamical problem”, Math. Notes, 79:5 (2006), 734–740  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
118. A. V. Borisov, I. S. Mamaev, “Rolling of a heterotgeneous ball over a sphere without sliding and spinning”, Nelin. Dinam., 2:4 (2006), 445–452  mathnet  elib
119. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Stability of steady rotations in the non-holonomic Routh problem”, Nelin. Dinam., 2:3 (2006), 333–345  mathnet  elib
120. A. V. Borisov, I. S. Mamaev, “Reduction in the two-body problem on the Lobatchevsky plane”, Nelin. Dinam., 2:3 (2006), 279–285  mathnet  elib
121. A. V. Borisov, I. S. Mamaev, “Interaction between Kirchhoff vortices and point vortices in an ideal fluid”, Nelin. Dinam., 2:2 (2006), 199–213  mathnet  elib
122. A. V. Borisov, I. S. Mamaev, “Dynamics of two vortex rings on a sphere”, Nelin. Dinam., 2:2 (2006), 181–192  mathnet  elib
123. A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “On the fall of a heavy rigid body in an ideal fluid”, Proc. Steklov Inst. Math. (Suppl.), 12, suppl. 1 (2006), S24–S47  mathnet  crossref  mathscinet  zmath  elib  scopus (cited: 2)

   2005
124. A. V. Borisov, I. S. Mamaev, “The Nonexistence of an Invariant Measure for an Inhomogeneous Ellipsoid Rolling on a Plane”, Math. Notes, 77:6 (2005), 855–857  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  elib  scopus (cited: 1)
125. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Reduction and chaotic behavior of point vortices on a plane and a sphere”, Nelin. Dinam., 1:2 (2005), 233–246  mathnet  elib
126. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Chaos in a restricted problem of rotation of a rigid body with a fixed point”, Nelin. Dinam., 1:2 (2005), 191–207  mathnet  elib
127. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Absolute and relative choreographies in rigid body dynamics”, Nelin. Dinam., 1:1 (2005), 123–141  mathnet  elib
128. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Interaction of two circular cylinders in a perfect fluid”, Nelin. Dinam., 1:1 (2005), 3–21  mathnet  elib

   2004
129. A. V. Borisov, I. S. Mamaev, “Integrability of the Problem of the Motion of a Cylinder and a Vortex in an Ideal Fluid”, Math. Notes, 75:1 (2004), 19–22  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)

   2003
130. A. V. Borisov, I. S. Mamaev, “Strange attractors in rattleback dynamics”, Phys. Usp., 46:4 (2003), 393–403  mathnet  crossref  crossref  isi (cited: 48)

   2001
131. A. V. Borisov, I. S. Mamaev, “Chaplygin's Ball Rolling Problem Is Hamiltonian”, Math. Notes, 70:5 (2001), 720–723  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 43)  elib

Presentations in Math-Net.Ru
1. Reduction in nonholonomic systems
A. V. Borisov, I. S. Mamaev
International scientific conference "Days of Classical Mechanics"
January 26, 2015 13:40   

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