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Borisov Alexey Vladimirovich

Total publications: 130 (118)
in MathSciNet: 48 (48)
in zbMATH: 33 (33)
in Web of Science: 59 (57)
in Scopus: 43 (42)
Cited articles: 100
Citations in Math-Net.Ru: 761
Citations in MathSciNet (by Sep 2017): 318
Citations in Web of Science: 709
Citations in Scopus: 350
Presentations: 2

Number of views:
This page:3131
Abstract pages:21686
Full texts:4779
References:3037
Professor
Doctor of physico-mathematical sciences (2001)
Speciality: 01.02.01 (Theoretical mechanics)
E-mail: , ,
Website: http://ics.org.ru/staff/detail/23-alexey_borisov

http://www.mathnet.ru/eng/person9213
http://scholar.google.com/citations?user=WghwZnIAAAAJ&hl=en
http://zbmath.org/authors/?q=ai:borisov.alexey-v
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=674142
http://elibrary.ru/author_items.asp?spin=5843-4288
http://www.researcherid.com/rid/J-4267-2013
http://www.scopus.com/authid/detail.url?authorId=56681444200

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


1. Ivan A. Bizyaev, Alexey V. Borisov, Sergey P. Kuznetsov, “Chaplygin sleigh with periodically oscillating internal mass”, EPL, 119 (2018), 60008 , 7 pp.  mathnet  crossref  isi (cited: 1)
2. A. V. Borisov, E. V. Vetchanin, A. A. Kilin, “Control of the Motion of a Triaxial Ellipsoid in a Fluid Using Rotors”, Math. Notes, 102:4 (2017), 455–464  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  elib  scopus
3. A. V. Borisov, A. A. Kilin, Yu. L. Karavaev, “Retrograde motion of a rolling disk”, Phys. Usp., 60:9 (2017), 931–934  mathnet  crossref  crossref  adsnasa  isi  elib  scopus (cited: 1)
4. 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  isi  elib  scopus
5. Alexey V. Borisov, Ivan S. Mamaev, “An Inhomogeneous Chaplygin Sleigh”, Regul. Chaotic Dyn., 22:4 (2017), 435–447  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 2)  scopus (cited: 3)
6. 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: 2)  elib  scopus (cited: 1)
7. A. V. Borisov, I. S. Mamaev, “An inhomogeneous Chaplygin sleigh”, Nelin. Dinam., 13:4 (2017), 625–639  mathnet  crossref  elib
8. 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  crossref  isi  scopus
9. 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: 3)  crossref  isi (cited: 5)  scopus (cited: 5)
10. A. V. Borisov, P. E. Ryabov, S. V. Sokolov, “Bifurcation Analysis of the Motion of a Cylinder and a Point Vortex in an Ideal Fluid”, Math. Notes, 99:6 (2016), 834–839  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  scopus (cited: 3)
11. 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: 2)  crossref  mathscinet (cited: 5)  zmath  isi (cited: 3)  elib  scopus (cited: 3)
12. 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: 4)  elib  elib  scopus (cited: 5)
13. 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: 1)  crossref  mathscinet (cited: 1)  isi (cited: 4)  scopus (cited: 4)
14. 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: 10)  elib  scopus (cited: 12)
15. I. A. Bizyaev, A. O. Kazakov, A. V. Borisov, “Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors”, Regul. Chaotic Dyn., 20:5 (2015), 605–626  mathnet  mathnet  crossref  mathscinet (cited: 2)  mathscinet (cited: 2)  zmath  isi (cited: 9)  elib  elib  scopus (cited: 1)  scopus (cited: 1)
16. A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Historical and critical review of the development of nonholonomic mechanics: the classical period”, 21, no. 4, 2016, 455–476  mathnet  mathnet  crossref  crossref  zmath  isi (cited: 7)  elib  scopus (cited: 7)
17. 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)
18. 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: 1)  crossref  mathscinet (cited: 1)  zmath  isi (cited: 5)  elib  scopus (cited: 5)
19. 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: 2)  scopus (cited: 1)
20. 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
21. 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)
22. 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
23. 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
24. Alexey V. Borisov, Alexey O. Kazakov, Igor R. Sataev, “Spiral Chaos in the Nonholonomic Model of a Chaplygin Top”, Regul. Chaotic Dyn., 21:7-8 (2016), 939–954  mathnet (cited: 1)  crossref  isi (cited: 3)  scopus (cited: 5)
25. A. V. Borisov, A. O. Kazakov, E. N. Pivovarova, “Regular and chaotic dynamics in the rubber model of a Chaplygin top”, Regular and Chaotic Dynamics, 21:7-8 (2016), 885–901  mathnet  mathnet  crossref  crossref  isi  elib  scopus (cited: 7)
26. Alexey V. Borisov, Sergey P. Kuznetsov, “Regular and Chaotic Motions of a Chaplygin Sleigh under Periodic Pulsed Torque Impacts”, Regul. Chaotic Dyn., 21:7-8 (2016), 792–803  mathnet (cited: 4)  crossref  isi (cited: 7)  scopus (cited: 8)
27. 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: 12)  elib (cited: 13)  scopus (cited: 15)
28. 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: 18)  elib  scopus
29. A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “The Jacobi integral in nonholonomic mechanics”, Nelin. Dinam., 11:2 (2015), 377–396  mathnet  elib
30. 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: 5)  crossref  mathscinet (cited: 3)  adsnasa  isi (cited: 7)  scopus (cited: 9)
31. 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)
32. 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)
33. 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: 8)  elib  scopus (cited: 9)
34. 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: 11)  crossref  mathscinet (cited: 7)  zmath  adsnasa  isi (cited: 13)  scopus (cited: 14)
35. 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: 17)  elib  scopus
36. 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: 11)  elib  scopus (cited: 13)
37. 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)
38. 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
39. 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: 10)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 9)
40. A. V. Borisov, A. O. Kazakov, S. P. Kuznetsov, “Nonlinear dynamics of the rattleback: a nonholonomic model”, Phys. Usp., 57:5 (2014), 453–460  mathnet  crossref  crossref  adsnasa  isi (cited: 20)  elib (cited: 11)  elib (cited: 11)  scopus (cited: 17)
41. Alexey V. Borisov, Alexey O. Kazakov, Igor R. Sataev, “Regular and chaotic attractors in the nonholonomic model of Chapygins ball”, Nelin. Dinam., 10:3 (2014), 361–380  mathnet  elib
42. Alexey V. Borisov, Ivan S. Mamaev, “Invariant measure and hamiltonization of nonholonomic systems”, Nelin. Dinam., 10:3 (2014), 355–359  mathnet  elib
43. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of three vortex sources”, Nelin. Dinam., 10:3 (2014), 319–327  mathnet  elib
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. 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: 5)  crossref  mathscinet (cited: 4)  zmath  isi (cited: 8)
46. 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: 19)  crossref  mathscinet (cited: 13)  zmath  isi (cited: 25)
47. Alexey V. Borisov, Nikolay A. Kudryashov, “Paul Painlevé and His Contribution to Science”, Regul. Chaotic Dyn., 19:1 (2014), 1–19  mathnet (cited: 4)  crossref  isi (cited: 6)
48. Alexey V. Borisov, Alexey O. Kazakov, Igor R. Sataev, “The Reversal and Chaotic Attractor in the Nonholonomic Model of Chaplygins Top”, Regul. Chaotic Dyn., 19:6 (2014), 718–733  mathnet (cited: 20)  crossref  mathscinet (cited: 18)  zmath  isi (cited: 29)
49. 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: 5)  crossref  mathscinet (cited: 5)  zmath  isi (cited: 8)
50. 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: 6)  crossref  mathscinet (cited: 5)  zmath  isi (cited: 9)
51. 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
52. 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
53. 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
54. 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
55. 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
56. 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
57. 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: 33)  crossref  mathscinet (cited: 19)  zmath  isi (cited: 36)
58. 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: 2)  crossref  mathscinet (cited: 2)  zmath  isi (cited: 11)
59. 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: 8)  crossref  mathscinet (cited: 7)  zmath  isi (cited: 7)
60. 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: 18)  crossref  mathscinet (cited: 15)  zmath  isi (cited: 18)
61. 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: 47)  crossref  mathscinet (cited: 32)  zmath  isi (cited: 46)
62. 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: 29)  crossref  mathscinet (cited: 20)  zmath  isi (cited: 29)
63. 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
64. 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
65. 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
66. 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
67. 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
68. 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
69. 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
70. 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
71. 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
72. A. V. Borisov, I. S. Mamaev, “Two non-holonomic integrable systems of coupled rigid bodies”, Nelin. Dinam., 7:3 (2011), 559–568  mathnet  elib
73. 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
74. 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
75. 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
76. 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
77. 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
78. 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
79. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Dynamic advection”, Nelin. Dinam., 6:3 (2010), 521–530  mathnet  elib
80. 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
81. 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
82. 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: 37)  elib (cited: 12)  elib (cited: 12)  scopus (cited: 21)
83. 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
84. A. V. Borisov, “Computer visualization of nonholonomic systems motion”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 137–145  mathnet
85. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462  mathnet  elib
86. 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
87. A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Nelin. Dinam., 5:2 (2009), 145–158  mathnet  elib
88. 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
89. A. V. Borisov, L. A. Gazizullina, S. M. Ramodanov, “E. Zermelo Habilitationsschrift on vortex hydrodynamics on a sphere”, Nelin. Dinam., 4:4 (2008), 497–513  mathnet  elib
90. 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
91. 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
92. 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
93. A. V. Borisov, “Application of program package Chaos for analysis of dynamical effects”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2, 201–207  mathnet
94. A. V. Borisov, “Numerical integration of differential dynamical equations. Vortex dynamics applications”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 1, 127–132  mathnet
95. 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
96. 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
97. 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
98. 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
99. 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: 27)
100. 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)
101. 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)
102. 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
103. 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
104. 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
105. 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
106. A. V. Borisov, I. S. Mamaev, “Dynamics of two vortex rings on a sphere”, Nelin. Dinam., 2:2 (2006), 181–192  mathnet  elib
107. 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)
108. 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)
109. 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
110. 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
111. 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
112. 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
113. 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)
114. A. V. Borisov, I. S. Mamaev, “Strange attractors in rattleback dynamics”, Phys. Usp., 46:4 (2003), 393–403  mathnet  crossref  crossref  isi (cited: 47)
115. A. V. Bolsinov, A. V. Borisov, “Compatible Poisson Brackets on Lie Algebras”, Math. Notes, 72:1 (2002), 10–30  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 31)  scopus (cited: 23)
116. 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: 42)  elib
117. A. V. Borisov, V. V. Kozlov, “Nonintegrability of a system of interacting particles with the Dyson potential”, Dokl. Math., 59:3 (1999), 485–486  mathnet  mathscinet  isi
118. A. V. Borisov, A. V. Tsygvintsev, “Kowalewski exponents and integrable systems of classic dynamics. I, II”, Regul. Chaotic Dyn., 1:1 (1996), 15–37  mathnet (cited: 7)  mathscinet (cited: 5)  zmath
119. I. B. Petrov, B. N. Chetverushkin, Vl. V. Voevodin, V. A. Gushchin, K. V. Rudakov, A. I. Tolstykh, A. A. Shananin, A. I. Lobanov, G. Yu. Riznichenko, A. V. Borisov, A. V. Koganov, V. I. Kosarev, S. A. Ishanov, I. S. Nikitin, V. B. Pirogov, A. A. Polezhaev, G. A. Tirskii, I. G. Tormasov, S. S. Simakov, E. L. Stupitsky, P. S. Utkin, Ya. A. Kholodov, V. L. Yakushev, “In memory of A. S. Kholodov”, Computer Research and Modeling, 9:5 (2017), 677–678  mathnet  crossref  elib
120. Alekseí V. Borisov, Alekseí V. Bolsinov, Anatolií I. Nejshtadt, Dmitrií A. Sadovskií, Boris I. Zhilinskií, “Nikolaí N. Nekhoroshev”, Regul. Chaotic Dyn., 21:6 (2016), 593–598  mathnet  crossref  isi
121. 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
122. A. V. Borisov, A. A. Gryzlov, V. Ya. Derr, A. I. Karpov, N. V. Latypova, L. I. Rodina, E. L. Tonkov, V. N. Ushakov, “Petrov Nikolai Nikandrovich (on his sixties birthday)”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 4, 175–180  mathnet
123. V. T. Grinchenko, T. S. Krasnopol'skaya, A. V. Borisov, G. J/~F. van Heijst, “Viatcheslav Vladimirovich Meleshko (07.10.1951–14.11.2011)”, Nelin. Dinam., 8:1 (2012), 179–182  mathnet  elib
124. A. V. Borisov, A. V. Tsiganov, Nelin. Dinam., 7:1 (2011), 177–187  mathnet
125. A. V. Borisov, Nelin. Dinam., 6:4 (2010), 897–901  mathnet
126. A. V. Borisov, I. S. Mamaev, Nelin. Dinam., 6:4 (2010), 893–895  mathnet
127. 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
128. V. F. Zhuravlyov, A. V. Borisov, Nelin. Dinam., 6:2 (2010), 365–369  mathnet
129. S. D. Buntov, N. I. Leonov, N. N. Petrov, A. V. Borisov, A. A. Gryzlov, V. Ya. Derr, A. I. Karpov, B. P. Kondratyev, S. N. Popova, “Evgenii Leonidovich Tonkov (on his seventieth birthday)”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3, 3–9  mathnet  elib
130. S. D. Buntov, N. I. Leonov, E. L. Tonkov, N. N. Petrov, A. A. Gryzlov, B. P. Kondratyev, A. I. Karpov, A. V. Borisov, D. L. Fedorov, “Vasilii Yakovlevich Derr. On the anniversary”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 133–136  mathnet

Presentations in Math-Net.Ru
1.
A. V. Borisov
International Conference on Mathematical Control Theory and Mechanics
July 5, 2015 12:10
2. 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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