Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Borisov, Alexey Vladimirovich
(1965–2021)

Statistics
in MathSciNet: 125 (123)
in zbMATH: 95 (94)
in Web of Science: 92 (86)
in Scopus: 117 (114)
Professor
Doctor of physico-mathematical sciences (2001)
Speciality: 01.02.01 (Theoretical mechanics)
Website: http://ics.org.ru/staff/detail/23-alexey_borisov

https://www.mathnet.ru/eng/person9213
https://ru.wikipedia.org/wiki/Borisov_Aleksei_Vladimirovich
https://scholar.google.com/citations?user=WghwZnIAAAAJ&hl=en
https://zbmath.org/authors/ai:borisov.alexey-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/674142
https://elibrary.ru/author_items.asp?spin=5843-4288
https://orcid.org/0000000151994824
https://www.webofscience.com/wos/author/record/J-4267-2013
https://www.scopus.com/authid/detail.url?authorId=56681444200

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


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. A. V. Borisov, I. S. Mamaev, “The rolling motion of a rigid body on a plane and a sphere. Hierarchy of dynamics”, Regul. Chaotic Dyn., 7:2 (2002), 177–200  mathnet  crossref  mathscinet  zmath  scopus 151
2. 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  crossref  mathscinet  zmath  isi 111
3. 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  elib  elib  scopus
4. A. V. Borisov, I. S. Mamaev, “Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems”, Regul. Chaotic Dyn., 13:5 (2008), 443–490  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 111
5. A. V. Borisov, I. S. Mamaev, “Strange attractors in rattleback dynamics”, Phys. Usp., 46:4 (2003), 393–403  mathnet  crossref  crossref  adsnasa  isi
6. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “The rolling motion of a ball on a surface. New integrals and hierarchy of dynamics”, Regul. Chaotic Dyn., 7:2 (2002), 201–219  mathnet  crossref  mathscinet  zmath  scopus 103
7. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to control Chaplygin’s sphere using rotors”, Regul. Chaotic Dyn., 17:3-4 (2012), 258–272  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 96
8. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to Control the Chaplygin Ball Using Rotors. II”, Regul. Chaotic Dyn., 18:1-2 (2013), 144–158  mathnet  crossref  mathscinet  zmath  isi 77
9. 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  elib
10. 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  scopus
11. Alexey V. Borisov, Alexey O. Kazakov, Igor R. Sataev, “The Reversal and Chaotic Attractor in the Nonholonomic Model of Chaplygin’s Top”, Regul. Chaotic Dyn., 19:6 (2014), 718–733  mathnet  crossref  mathscinet  zmath  isi 62
12. 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  crossref  mathscinet  zmath  isi 62
13. A.V. Bolsinov, A.V. Borisov, I. S. Mamaev, “Hamiltonization of Nonholonomic Systems in the Neighborhood of Invariant Manifolds”, Regul. Chaotic Dyn., 16:5 (2011), 443–464  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 61
14. Alexey V. Borisov, Alexey Yu. Jalnine, Sergey P. Kuznetsov, Igor R. Sataev, Yulia V. Sedova, “Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback”, Regul. Chaotic Dyn., 17:6 (2012), 512–532  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 56
15. 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  adsnasa  isi  elib  elib  scopus
16. A.V. Borisov, Yu.N. Fedorov, I.S. Mamaev, “Chaplygin ball over a fixed sphere: an explicit integration”, Regul. Chaotic Dyn., 13:6 (2008), 557–571  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 52
17. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Dynamics of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 49
18. 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  crossref  mathscinet  zmath  adsnasa  isi  scopus 47
19. 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  elib  elib  scopus
20. 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  crossref  mathscinet  zmath  isi 45
21. 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  elib  scopus
22. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Two-body problem on a sphere. Reduction, stochasticity, periodic orbits”, Regul. Chaotic Dyn., 9:3 (2004), 265–279  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 44
23. 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 42
24. 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  elib  elib  scopus
25. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Hamiltonicity and integrability of the Suslov problem”, Regul. Chaotic Dyn., 16:1 (2011), 104–116  mathnet  crossref  mathscinet  zmath  scopus 41
26. A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “Asymptotic stability and associated problems of dynamics of falling rigid body”, Regul. Chaotic Dyn., 12:5 (2007), 531–565  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 39
27. 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  crossref  mathscinet  zmath  adsnasa  scopus 38
28. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Motion of a circular cylinder and $n$ point vortices in a perfect fluid”, Regul. Chaotic Dyn., 8:4 (2003), 449–462  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 38
29. A. V. Borisov, A. E. Pavlov, “Dynamics and statics of vortices on a plane and a sphere - I”, Regul. Chaotic Dyn., 3:1 (1998), 28–38  mathnet  crossref  mathscinet  zmath  scopus 37
30. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On the Hadamard–Hamel problem and the dynamics of wheeled vehicles”, Regul. Chaotic Dyn., 20:6 (2015), 752–766  mathnet  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
31. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The Dynamics of Vortex Rings: Leapfrogging, Choreographies and the Stability Problem”, Regul. Chaotic Dyn., 18:1-2 (2013), 33–62  mathnet  crossref  mathscinet  zmath  isi 33
32. A. V. Borisov, I. S. Mamaev, “Rolling of a Non-homogeneous Ball Over a Sphere Without Slipping and Twisting”, Regul. Chaotic Dyn., 12:2 (2007), 153–159  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 32
33. A. V. Borisov, I. S. Mamaev, “An Integrability of the Problem on Motion of Cylinder and Vortex in the Ideal Fluid”, Regul. Chaotic Dyn., 8:2 (2003), 163–166  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 32
34. I. A. Bizyaev, A. V. Borisov, A. O. Kazakov, “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  mathscinet  zmath  adsnasa  isi  elib  elib  scopus  scopus
35. A. V. Borisov, I. S. Mamaev, “On the History of the Development of the Nonholonomic Dynamics”, Regul. Chaotic Dyn., 7:1 (2002), 43–47  mathnet  crossref  mathscinet  zmath  scopus 29
36. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Exotic Dynamics of Nonholonomic Roller Racer with Periodic Control”, Regul. Chaotic Dyn., 23:7 (2018), 983–994  mathnet  crossref  mathscinet  zmath  isi  scopus 28
37. 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  zmath  adsnasa  isi  elib  scopus
38. 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  elib  elib  scopus
39. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Absolute and relative choreographies in the problem of point vortices moving on a plane”, Regul. Chaotic Dyn., 9:2 (2004), 101–111  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 28
40. 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  crossref  mathscinet  zmath  isi  elib  scopus 27
41. 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  crossref  mathscinet  zmath  isi 27
42. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support”, Regul. Chaotic Dyn., 17:2 (2012), 170–190  mathnet  crossref  zmath 27
43. A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Lie algebras in vortex dynamics and celestial mechanics — IV”, Regul. Chaotic Dyn., 4:1 (1999), 23–50  mathnet  crossref  mathscinet  zmath  scopus 27
44. A. V. Borisov, V. G. Lebedev, “Dynamics of three vortices on a plane and a sphere — II. General compact case”, Regul. Chaotic Dyn., 3:2 (1998), 99–114  mathnet  crossref  mathscinet  zmath  scopus 27
45. A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Geometrisation of Chaplygin's reducing multiplier theorem”, Nonlinearity, 28:7 (2015), 2307–2318  mathnet  crossref  isi  elib  scopus 26
46. Alexey V. Borisov, Ivan S. Mamaev, “Two non-holonomic integrable problems tracing back to Chaplygin”, Regul. Chaotic Dyn., 17:2 (2012), 191–198  mathnet  crossref  zmath 26
47. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Rolling of a Homogeneous Ball over a Dynamically Asymmetric Sphere”, Regul. Chaotic Dyn., 16:5 (2011), 465–483  mathnet  crossref  mathscinet  zmath  scopus 26
48. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Multiparticle Systems. The Algebra of Integrals and Integrable Cases”, Regul. Chaotic Dyn., 14:1 (2009), 18–41  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 26
49. A. V. Borisov, A. A. Kilin, “Stability of Thomson's Configurations of Vortices on a Sphere”, Regul. Chaotic Dyn., 5:2 (2000), 189–200  mathnet  crossref  mathscinet  zmath  scopus 25
50. 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
51. I. A. Bizyaev, A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “Fermi-like acceleration and power-law energy growth in nonholonomic systems”, Nonlinearity, 32:9 (2019), 3209–3233  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 23
52. 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  adsnasa  isi  elib  scopus
53. 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  crossref  isi  scopus 23
54. 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
55. 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  crossref  isi  scopus 22
56. Alexey V. Bolsinov, Alexey V. Borisov, Ivan S. Mamaev, “The Bifurcation Analysis and the Conley Index in Mechanics”, Regul. Chaotic Dyn., 17:5 (2012), 451–478  mathnet  crossref  mathscinet  zmath  scopus 22
57. A. V. Borisov, Yu. N. Fedorov, “On two modified integrable problems in dynamics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6, 102–105  mathnet  mathscinet  zmath
58. Alexey V. Borisov, Ivan S. Mamaev, Evgeny V. Vetchanin, “Self-propulsion of a Smooth Body in a Viscous Fluid Under Periodic Oscillations of a Rotor and Circulation”, Regul. Chaotic Dyn., 23:7 (2018), 850–874  mathnet  crossref  mathscinet  zmath  isi  scopus 20
59. Ivan A. Bizyaev, Alexey V. Borisov, Sergey P. Kuznetsov, “Chaplygin sleigh with periodically oscillating internal mass”, EPL, 119 (2017), 60008 , 7 pp.  mathnet  crossref  isi 20
60. 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  adsnasa  isi  elib  elib  scopus
61. Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, Ivan A. Bizyaev, “Qualitative Analysis of the Dynamics of a Wheeled Vehicle”, Regul. Chaotic Dyn., 20:6 (2015), 739–751  mathnet  crossref  mathscinet  adsnasa  isi  scopus 20
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. 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
64. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “The Hamiltonian Dynamics of Self-gravitating Liquid and Gas Ellipsoids”, Regul. Chaotic Dyn., 14:2 (2009), 179–217  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 20
65. A. V. Borisov, I. S. Mamaev, “On the problem of motion of vortex sources on a plane”, Regul. Chaotic Dyn., 11:4 (2006), 455–466  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 19
66. 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  zmath  adsnasa  isi  scopus 18
67. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Three Vortex Sources”, Regul. Chaotic Dyn., 19:6 (2014), 694–701  mathnet  crossref  mathscinet  zmath  isi 17
68. 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  crossref  mathscinet  zmath  isi 17
69. 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  crossref  mathscinet  zmath  isi 17
70. 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), 1530028 , 21 pp.  mathnet  crossref  adsnasa  isi  elib  scopus
71. A. V. Borisov, V. G. Lebedev, “Dynamics of Three Vortices on a Plane and a Sphere — III. Noncompact Case. Problems of Collaps and Scattering”, Regul. Chaotic Dyn., 3:4 (1998), 74–86  mathnet  crossref  mathscinet  zmath  scopus 16
72. 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  elib  elib  scopus
73. 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  adsnasa  isi  elib  scopus
74. 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  elib  elib  scopus
75. A. V. Borisov, I. S. Mamaev, “Rigid Body Dynamics in Non-Euclidean Spaces”, Russ. J. Math. Phys., 23:4 (2016), 431–454  mathnet  crossref  mathscinet  isi  elib  scopus 15
76. A. V. Borisov, S. P. Kuznetsov, I. S. Mamaev, V. A. Tenenev, “Describing the motion of a body with an elliptical cross section in a viscous uncompressible fluid by model equations reconstructed from data processing”, Tech. Phys. Lett., 42:9 (2016), 886–890  mathnet  crossref  elib
77. 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
78. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Superintegrable system on a sphere with the integral of higher degree”, Regul. Chaotic Dyn., 14:6 (2009), 615–620  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 15
79. 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
80. A. V. Borisov, I. S. Mamaev, “Superintegrable systems on a sphere”, Regul. Chaotic Dyn., 10:3 (2005), 257–266  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 15
81. Alexey V. Borisov, Alexander P. Ivanov, “Dynamics of the Tippe Top on a Vibrating Base”, Regul. Chaotic Dyn., 25:6 (2020), 707–715  mathnet  crossref  mathscinet  isi  scopus 14
82. 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 14
83. 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  adsnasa  isi  elib  scopus
84. 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
85. Alexey V. Borisov, Ivan S. Mamaev, “An Inhomogeneous Chaplygin Sleigh”, Regul. Chaotic Dyn., 22:4 (2017), 435–447  mathnet  crossref  mathscinet  isi  scopus 13
86. 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  adsnasa  isi  elib  elib  scopus
87. A. V. Borisov, S. L. Dudoladov, “Kovalevskaya Exponents and Poisson Structures”, Regul. Chaotic Dyn., 4:3 (1999), 13–20  mathnet  crossref  mathscinet  zmath  scopus 13
88. 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  crossref  mathscinet  isi  scopus 12
89. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Hamiltonization of elementary nonholonomic systems”, Russ. J. Math. Phys., 22:4 (2015), 444–453  mathnet  crossref  mathscinet  adsnasa  isi  elib  scopus 12
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. Alexey V. Borisov, Sergey P. Kuznetsov, “Comparing Dynamics Initiated by an Attached Oscillating Particle for the Nonholonomic Model of a Chaplygin Sleigh and for a Model with Strong Transverse and Weak Longitudinal Viscous Friction Applied at a Fixed Point on the Body”, Regul. Chaotic Dyn., 23:7 (2018), 803–820  mathnet  crossref  mathscinet  zmath  isi  scopus 11
92. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Hojman Construction and Hamiltonization of Nonholonomic Systems”, SIGMA, 12 (2016), 12 , 19 pp., arXiv: 1510.00181  mathnet  crossref  isi  scopus 11
93. 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  elib  elib  scopus
94. 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 11
95. 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  crossref  mathscinet  zmath  isi 11
96. 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
97. 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  elib  elib  scopus
98. A. V. Borisov, I. S. Mamaev, A. G. Kholmskaya, “Kovalevskaya top and generalizations of integrable systems”, Regul. Chaotic Dyn., 6:1 (2001), 1–16  mathnet  crossref  mathscinet  zmath  scopus 11
99. 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 10
100. 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  elib  elib  scopus
101. A. V. Borisov, A. V. Tsygvintsev, “Pokazateli Kovalevskoi i integriruemye sistemy klassicheskoi dinamiki. I, II”, Regul. Chaotic Dyn., 1:1 (1996), 15–37  mathnet  mathscinet  zmath 10
102. 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 9
103. 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
104. Alexey V. Borisov, Alexander P. Ivanov, “A Top on a Vibrating Base: New Integrable Problem of Nonholonomic Mechanics”, Regul. Chaotic Dyn., 27:1 (2022), 2–10  mathnet  crossref  mathscinet  isi  scopus; 8
105. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “The Hess–Appelrot case and quantization of the rotation number”, Regular and Chaotic Dynamics, 22:2 (2017), 180–196  mathnet  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
106. 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
107. 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  crossref
108. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface”, Regul. Chaotic Dyn., 15:4 (2010), 440–461  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 8
109. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Stability of Steady Rotations in the Nonholonomic Routh Problem”, Regul. Chaotic Dyn., 13:4 (2008), 239–249  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 8
110. 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
111. 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 7
112. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “An Invariant Measure and the Probability of a Fall in the Problem of an Inhomogeneous Disk Rolling on a Plane”, Regul. Chaotic Dyn., 23:6 (2018), 665–684  mathnet  crossref  mathscinet  zmath  isi  scopus 7
113. Alexey V. Borisov, Ivan S. Mamaev, Nadezhda N. Erdakova, “Dynamics of a body sliding on a rough plane and supported at three points”, Theor. Appl. Mech., 43:2 (2016), 169–190  mathnet  crossref  isi  scopus 7
114. 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
115. A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Regul. Chaotic Dyn., 14:4 (2009), 455–465  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 7
116. 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
117. A. V. Borisov, I. S. Mamaev, “Euler–Poisson Equations and Integrable Cases”, Regul. Chaotic Dyn., 6:3 (2001), 253–276  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 7
118. A. V. Borisov, A. V. Tsiganov, “On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich”, Theor. Appl. Mech., 47:2 (2020), 155–168  mathnet  crossref  mathscinet  isi  scopus;  mathscinet 6
119. A. V. Borisov, A. A. Kilin, E. N. Pivovarova, “Speedup of a Chaplygin top by means of rotors”, Dokl. Akad. Nauk, 485:3 (2019), 285–289  mathnet  crossref  elib
120. A. V. Borisov, I. S. Mamaev, “Two non-holonomic integrable systems of coupled rigid bodies”, Nelin. Dinam., 7:3 (2011), 559–568  mathnet  elib
121. 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  elib  elib  scopus
122. 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
123. A. V. Borisov, I. S. Mamaev, “Generalization of the Goryachev–Chaplygin Case”, Regul. Chaotic Dyn., 7:1 (2002), 21–30  mathnet  crossref  mathscinet  zmath  scopus 6
124. A. V. Borisov, A. V. Tsiganov, E. A. Mikishanina, “On inhomogeneous nonholonomic Bilimovich system”, Commun. Nonlinear Sci. Numer. Simul., 94 (2021), 105573 , 11 pp.  mathnet  crossref  mathscinet  isi  scopus 5
125. A. V. Borisov, E. A. Mikishanina, Nelin. Dinam., 16:3 (2020), 453–462  mathnet  crossref  mathscinet  scopus
126. A. V. Borisov, P. E. Ryabov, S. V. Sokolov, “On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point”, Dokl. Math., 102:3 (2020), 468–471  mathnet  crossref  crossref  zmath  isi  elib  scopus
127. 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  mathscinet  zmath  isi  scopus 5
128. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “On the Model of Non-holonomic Billiard”, Regul. Chaotic Dyn., 16:6 (2011), 653–662  mathnet  crossref  mathscinet  zmath  scopus 5
129. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Absolute and Relative Choreographies in Rigid Body Dynamics”, Regul. Chaotic Dyn., 13:3 (2008), 204–220  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 5
130. 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
131. 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
132. 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
133. 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
134. 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
135. A. V. Borisov, I. S. Mamaev, “Adiabaticheskii khaos v dinamike tverdogo tela”, Regul. Chaotic Dyn., 2:2 (1997), 65–78  mathnet  crossref  mathscinet  zmath 5
136. Alexey V. Borisov, Evgeniya A. Mikishanina, “Two Nonholonomic Chaotic Systems. Part I. On the Suslov Problem”, Regul. Chaotic Dyn., 25:3 (2020), 313–322  mathnet  crossref  mathscinet  isi  scopus 4
137. 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  scopus 4
138. Alexey V. Borisov, Ivan S. Mamaev, “Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics”, Regul. Chaotic Dyn., 21:2 (2016), 232–248  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 4
139. 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  adsnasa  isi  elib  elib  scopus
140. 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
141. 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
142. 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
143. A. V. Borisov, I. S. Mamaev, “Nelineinye skobki Puassona i izomorfizmy v dinamike”, Regul. Chaotic Dyn., 2:3 (1997), 72–89  mathnet  crossref  mathscinet  zmath 4
144. A. V. Borisov, “Necessary and Sufficient Conditions of Kirchhoff Equation Integrability”, Regul. Chaotic Dyn., 1:2 (1996), 61–76  mathnet  crossref  mathscinet  zmath 4
145. Sergey P. Kuznetsov, Vyacheslav P. Kruglov, Alexey V. Borisov, “Chaplygin sleigh in the quadratic potential field”, EPL, 132:2 (2020), 20008  mathnet  crossref  isi  scopus 3
146. A. V. Borisov, I. S. Mamaev, “A new integrable system of nonholonomic mechanics”, Dokl. Math., 60:6 (2015), 269–271  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
147. Alexey V. Borisov, Alexey O. Kazakov, Igor R. Sataev, “Regular and chaotic attractors in the nonholonomic model of Chapygin’s ball”, Nelin. Dinam., 10:3 (2014), 361–380  mathnet  elib
148. 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
149. 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
150. 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
151. 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
152. Alexey V. Borisov, Viatcheslav V. Meleshko, Mark Stremler, GertJan van Heijst, “Hassan Aref (1950–2011)”, Regul. Chaotic Dyn., 16:6 (2011), 671–684  mathnet  crossref  mathscinet  zmath 3
153. 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
154. 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
155. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Chaos in a Restricted Problem of Rotation of a Rigid Body with a Fixed Point”, Regul. Chaotic Dyn., 13:3 (2008), 221–233  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 3
156. Alexey V. Borisov, Andrey V. Tsiganov, “On the Nonholonomic Routh Sphere in a Magnetic Field”, Regul. Chaotic Dyn., 25:1 (2020), 18–32  mathnet  crossref  mathscinet  isi  scopus 2
157. A. V. Borisov, L. G. Kurakin, “On the Stability of a System of Two Identical Point Vortices and a Cylinder”, Proc. Steklov Inst. Math., 310 (2020), 25–31  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
158. Alexey V. Borisov, Evgeniya A. Mikishanina, “Two Nonholonomic Chaotic Systems. Part II. On the Rolling of a Nonholonomic Bundle of Two Bodies”, Regul. Chaotic Dyn., 25:4 (2020), 392–400  mathnet  crossref  mathscinet  isi  scopus 2
159. A. V. Borisov, E. A. Mikishanina, S. V. Sokolov, “Dynamics of Multi-Link Uncontrolled Wheeled Vehicle”, Russ. J. Math. Phys., 27:4 (2020), 433–445  mathnet  crossref  mathscinet  isi  scopus 2
160. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “A Parabolic Chaplygin Pendulum and a Paul Trap: Nonintegrability, Stability, and Boundedness”, Regul. Chaotic Dyn., 24:3 (2019), 329–352  mathnet  crossref  mathscinet  zmath  isi  scopus 2
161. Alexey V. Borisov, Andrey V. Tsiganov, “On the Chaplygin Sphere in a Magnetic Field”, Regul. Chaotic Dyn., 24:6 (2019), 739–754  mathnet  crossref  mathscinet  zmath  isi  scopus 2
162. A. V. Borisov, I. S. Mamaev, “An inhomogeneous Chaplygin sleigh”, Nelin. Dinam., 13:4 (2017), 625–639  mathnet  crossref  mathscinet  elib  scopus
163. 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  adsnasa  isi  elib  elib  scopus
164. 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
165. 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
166. A. V. Borisov, I. S. Mamaev, “Interaction between Kirchhoff vortices and point vortices in an ideal fluid”, Regul. Chaotic Dyn., 12:1 (2007), 68–80  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 2
167. 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
168. 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
169. A. V. Borisov, N. N. Simakov, “Bifurkatsiya udvoeniya perioda v dinamike tverdogo tela”, Regul. Chaotic Dyn., 2:1 (1997), 64–74  mathnet  crossref  mathscinet  zmath 2
170. 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  elib  scopus
171. 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  elib  elib  scopus
172. 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
173. 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
174. 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
175. A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Nelin. Dinam., 5:2 (2009), 145–158  mathnet  elib
176. 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
177. A. V. Borisov, I. S. Mamaev, “Dynamics of two vortex rings on a sphere”, Nelin. Dinam., 2:2 (2006), 181–192  mathnet  elib
178. A. V. Borisov, A. V. Tsiganov, “Chaplygin ball in a solenoidal field”, Russian Math. Surveys, 76:3 (2021), 546–548  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
179. A. V. Borisov, A. V. Tsiganov, “The Motion of a Nonholonomic Chaplygin Sphere in a Magnetic Field, the Grioli Problem, and the Barnett-London Effect”, Dokl. Phys., 65:3 (2020), 90–93  mathnet  crossref  crossref  adsnasa  isi  isi  elib  scopus
180. A. V. Borisov, A. V. Tsiganov, “Influence of Bartnett–London and Einstein–de Haas effects on the motion of the nonholonomic sphere of Routh”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:4 (2019), 583–598  mathnet  crossref  mathscinet  isi  scopus
181. Alexey V. Borisov, Ivan S. Mamaev, “Invariant measure and hamiltonization of nonholonomic systems”, Nelin. Dinam., 10:3 (2014), 355–359  mathnet  elib
182. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of three vortex sources”, Nelin. Dinam., 10:3 (2014), 319–327  mathnet  elib
183. 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
184. 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
185. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Dynamic advection”, Nelin. Dinam., 6:3 (2010), 521–530  mathnet  elib
186. A. V. Borisov, “Computer visualization of nonholonomic systems motion”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 137–145  mathnet  crossref
187. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462  mathnet  elib
188. 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
189. 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
190. 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  crossref
191. 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  crossref
192. 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
193. 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
194. 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
195. 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
196. 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
197. Alexey V. Borisov, Nikolay A. Kudryashov, “Paul Painlevé and His Contribution to Science”, Regul. Chaotic Dyn., 19:1 (2014), 1–19  mathnet  crossref  isi 20
198. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Different Models of Rolling for a Robot Ball on a Plane as a Generalization of the Chaplygin Ball Problem”, Regul. Chaotic Dyn., 24:5 (2019), 560–582  mathnet  crossref  mathscinet  isi  scopus 18
199. 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
200. V. F. Zhuravlyov, A. V. Borisov, Nelin. Dinam., 6:2 (2010), 365–369  mathnet
201. 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  crossref  elib
202. S. V. Bolotin, A. V. Borisov, A. V. Karapetyan, B. S. Kashin, E. I. Kugushev, A. I. Neishtadt, D. O. Orlov, D. V. Treschev, “Valerii Vasil'evich Kozlov (on his 70th birthday)”, Russian Math. Surveys, 75:6 (2020), 1165–1180  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
203. A. V. Borisov, I. A. Dynnikov, A. A. Glutsyuk, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The conference “Dynamics in Siberia”, Novosibirsk, February 24–29, 2020”, Sib. elektron. matem. izv., 17 (2020), 68–96  mathnet  crossref  isi  scopus
204. 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
205. 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
206. 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  crossref
207. 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
208. A. V. Borisov, A. V. Tsiganov, Nelin. Dinam., 7:1 (2011), 177–187  mathnet
209. A. V. Borisov, Nelin. Dinam., 6:4 (2010), 897–901  mathnet
210. A. V. Borisov, I. S. Mamaev, Nelin. Dinam., 6:4 (2010), 893–895  mathnet
211. 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
212. 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  crossref

Presentations in Math-Net.Ru
1. Some problems concerning the rolling of the Chaplygin sphere
A. V. Borisov
International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday
January 21, 2020 11:50   
2. Ãàìèëüòîíèçàöèÿ íåãîëîíîìíûõ ñèñòåì
A. V. Borisov
International Conference on Mathematical Control Theory and Mechanics
July 5, 2015 12:10
3. Reduction in nonholonomic systems
A. V. Borisov, I. S. Mamaev
International scientific conference "Days of Classical Mechanics"
January 26, 2015 13:40   

Organisations