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Borisov, Alexey Vladimirovich
(1965–2021)

Total publications: 210 (194)
in MathSciNet: 118 (117)
in zbMATH: 91 (91)
in Web of Science: 88 (82)
in Scopus: 107 (105)
Cited articles: 160
Citations in Math-Net.Ru: 2212
Citations in Web of Science: 1124
Citations in Scopus: 1674
Presentations: 3

Number of views:
This page:6189
Abstract pages:37530
Full texts:8472
References:4355
Professor
Doctor of physico-mathematical sciences (2001)
Speciality: 01.02.01 (Theoretical mechanics)
Website: http://ics.org.ru/staff/detail/23-alexey_borisov

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

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



   2021
1. 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  isi  scopus (cited: 1);
2. A. V. Borisov, A. V. Tsiganov, Uspekhi Mat. Nauk  mathnet  crossref

   2020
3. Alexey V. Borisov, Andrey V. Tsiganov, “On the Nonholonomic Routh Sphere in a Magnetic Field”, Regul. Chaotic Dyn., 25:1 (2020), 18–32  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  scopus;
4. 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
5. A. V. Borisov, A. V. Tsiganov, Doklady RAN. Fiz. Tekhn. Nauki, 491:1 (2020), 30–33  mathnet  crossref  isi  elib
6. 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;
7. 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;
8. A. V. Borisov, E. A. Mikishanina, Nelin. Dinam., 16:3 (2020), 453–462  mathnet  crossref  mathscinet  scopus
9. Alexey V. Borisov, Alexander P. Ivanov, “Dynamics of the Tippe Top on a Vibrating Base”, Regul. Chaotic Dyn., 25:6 (2020), 707–715  mathnet (cited: 1)  crossref  mathscinet  isi  scopus (cited: 1);
10. 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. RAN. Math. Inf. Proc. upr., 495:1 (2020), 26–30  mathnet  crossref  elib
11. 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  isi  scopus (cited: 1);
12. 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; ;
13. 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  isi  scopus (cited: 3);
14. 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  isi
15. 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

   2019
16. 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
17. 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
18. 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  isi (cited: 14)  scopus (cited: 25)
19. Alexey V. Borisov, Andrey V. Tsiganov, “On the Chaplygin Sphere in a Magnetic Field”, Regul. Chaotic Dyn., 24:6 (2019), 739–754  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
20. A. V. Borisov, A. V. Tsiganov, “Influence of BartnettLondon and Einsteinde 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  isi  scopus
21. 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 (cited: 8)  crossref  mathscinet  isi  scopus (cited: 9)

   2018
22. 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 (cited: 5)  crossref  mathscinet  adsnasa  isi (cited: 5)  scopus (cited: 5)
23. 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 (cited: 11)  crossref  mathscinet  isi (cited: 8)  scopus (cited: 4)
24. 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 (cited: 2)  crossref  mathscinet  isi (cited: 2)  scopus (cited: 1)
25. 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 (cited: 2)  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
26. 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  isi (cited: 4)  scopus (cited: 4)
27. 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 (cited: 2)  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
28. 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 (cited: 12)  crossref  mathscinet  zmath  isi (cited: 13)  scopus (cited: 16)
29. 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 (cited: 9)  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 10)
30. 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 (cited: 8)  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 9)

   2017
31. 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: 8)  elib  elib  scopus (cited: 11)
32. A. V. Borisov, I. S. Mamaev, “An inhomogeneous Chaplygin sleigh”, Nelin. Dinam., 13:4 (2017), 625–639  mathnet  crossref  mathscinet  elib  scopus
33. 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: 7)  scopus (cited: 7)

   2016
34. 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: 10)
35. 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: 8)

   2017
36. 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: 25)  crossref  isi (cited: 24)  scopus (cited: 31)
37. Alexey V. Borisov, Ivan S. Mamaev, “An Inhomogeneous Chaplygin Sleigh”, Regul. Chaotic Dyn., 22:4 (2017), 435–447  mathnet (cited: 5)  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
38. 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  adsnasa  isi (cited: 15)  elib  scopus (cited: 20)
39. 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 (cited: 14)  elib  scopus (cited: 13)
40. 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 (cited: 1)  elib  elib  scopus (cited: 3)
41. 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 (cited: 19)
42. 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

   2016
43. 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: 6)  elib  elib  scopus (cited: 10)
44. 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  elib  elib  scopus (cited: 10)
45. 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  elib  scopus (cited: 19)

   2015
46. 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  isi  elib  elib  scopus (cited: 1)  scopus (cited: 1)
47. 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  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib  scopus (cited: 26)

   2016
48. 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: 14)  crossref  isi (cited: 14)  scopus (cited: 15)
49. 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: 19)  crossref  isi (cited: 16)  scopus (cited: 19)
50. 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: 15)  crossref  mathscinet  zmath  isi (cited: 15)  elib  scopus (cited: 15)
51. 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: 8)  crossref  mathscinet  isi (cited: 8)  scopus (cited: 8)
52. 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: 4)  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 4)
53. 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 (cited: 7)  elib  scopus (cited: 6)
54. 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 (cited: 8)  crossref  isi (cited: 7)  scopus (cited: 6)
55. 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
56. 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: 7)  elib  elib  scopus (cited: 8)
57. 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 (cited: 4)  scopus (cited: 6)
58. 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

   2015
59. 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
60. 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  elib  elib  scopus
61. 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  isi (cited: 12)  elib  scopus (cited: 13)
62. 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  elib  elib  scopus (cited: 19)
63. 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
64. 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: 24)  elib  scopus (cited: 28)
65. 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 (cited: 14)  crossref  mathscinet  adsnasa  isi (cited: 13)  scopus (cited: 17)
66. 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: 25)  crossref  mathscinet  zmath  adsnasa  isi (cited: 19)  scopus (cited: 31)
67. 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  adsnasa  isi (cited: 7)  elib  scopus (cited: 8)
68. 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: 3)  elib  elib  scopus (cited: 2)
69. 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
70. 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 (cited: 2)

   2014
71. 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  elib  scopus (cited: 1)
72. 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
73. 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
74. Alexey V. Borisov, Ivan S. Mamaev, “Invariant measure and hamiltonization of nonholonomic systems”, Nelin. Dinam., 10:3 (2014), 355–359  mathnet  elib
75. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of three vortex sources”, Nelin. Dinam., 10:3 (2014), 319–327  mathnet  elib
76. 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
77. 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: 47)  crossref  mathscinet  zmath  isi (cited: 46)
78. 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: 12)  crossref  mathscinet  zmath  isi (cited: 12)
79. 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: 14)  crossref  mathscinet  zmath  isi (cited: 13)
80. 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: 12)  crossref  mathscinet  zmath  isi (cited: 12)
81. 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: 33)  crossref  mathscinet  zmath  isi (cited: 31)
82. 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: 19)  elib  elib  scopus (cited: 19)
83. 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: 33)  elib  elib  scopus (cited: 32)
84. 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
85. Alexey V. Borisov, Nikolay A. Kudryashov, “Paul Painlevé and His Contribution to Science”, Regul. Chaotic Dyn., 19:1 (2014), 1–19  mathnet (cited: 15)  crossref  isi

   2013
86. 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
87. 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
88. 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
89. 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
90. 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
91. 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
92. 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
93. 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: 51)  crossref  mathscinet  zmath  isi (cited: 40)
94. 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: 10)  crossref  mathscinet  zmath  isi (cited: 8)
95. 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: 25)  crossref  mathscinet  zmath  isi (cited: 21)
96. 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: 85)  crossref  mathscinet  zmath  isi (cited: 68)
97. 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 (cited: 61)  crossref  mathscinet  zmath  isi (cited: 47)
98. 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 (cited: 22)  crossref  mathscinet  zmath  isi (cited: 20)
99. 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

   2012
100. 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

   2013
101. 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
102. 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
103. 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
104. 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
105. 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
106. 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: 73)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 66)
107. 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: 21)  crossref  zmath
108. 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: 14)  crossref  zmath
109. 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: 32)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 24)
110. 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 (cited: 41)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 46)
111. 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 (cited: 12)  crossref  mathscinet  zmath  scopus (cited: 16)
112. 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

   2011
113. 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
114. 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
115. A. V. Borisov, I. S. Mamaev, “Two non-holonomic integrable systems of coupled rigid bodies”, Nelin. Dinam., 7:3 (2011), 559–568  mathnet  elib
116. 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
117. 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
118. 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
119. 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 (cited: 30)  crossref  mathscinet  zmath  scopus (cited: 32)
120. 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 (cited: 16)  crossref  mathscinet  zmath  scopus (cited: 13)
121. 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 (cited: 38)  crossref  mathscinet  zmath  elib  scopus (cited: 40)
122. Alexey V. Borisov, Viatcheslav V. Meleshko, Mark Stremler, GertJan van Heijst, “Hassan Aref (19502011)”, Regul. Chaotic Dyn., 16:6 (2011), 671–684  mathnet  crossref  mathscinet  zmath
123. 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 (cited: 2)  crossref  mathscinet  zmath  scopus (cited: 2)
124. A. V. Borisov, A. V. Tsiganov, Nelin. Dinam., 7:1 (2011), 177–187  mathnet

   2010
125. 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
126. 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
127. 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
128. A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Dynamic advection”, Nelin. Dinam., 6:3 (2010), 521–530  mathnet  elib
129. 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
130. 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
131. 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: 51)  elib  elib  scopus (cited: 41)
132. 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
133. A. V. Borisov, “Computer visualization of nonholonomic systems motion”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 137–145  mathnet
134. 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 (cited: 2)  crossref  mathscinet  zmath  scopus (cited: 5)
135. A. V. Borisov, Nelin. Dinam., 6:4 (2010), 897–901  mathnet
136. A. V. Borisov, I. S. Mamaev, Nelin. Dinam., 6:4 (2010), 893–895  mathnet
137. 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
138. V. F. Zhuravlyov, A. V. Borisov, Nelin. Dinam., 6:2 (2010), 365–369  mathnet
139. 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
140. 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

   2009
141. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462  mathnet  elib
142. 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
143. A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Nelin. Dinam., 5:2 (2009), 145–158  mathnet  elib
144. 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
145. 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 (cited: 7)  crossref  mathscinet  zmath  elib  scopus (cited: 13)
146. 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 (cited: 12)  crossref  mathscinet  zmath  elib  scopus (cited: 20)
147. 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 (cited: 6)  crossref  mathscinet  zmath  elib  scopus (cited: 14)
148. A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Regul. Chaotic Dyn., 14:4 (2009), 455–465  mathnet (cited: 6)  crossref  mathscinet  zmath  elib  scopus (cited: 9)

   2008
149. 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
150. 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
151. 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
152. 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
153. 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
154. 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
155. 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 (cited: 31)  crossref  mathscinet  zmath  elib  scopus (cited: 35)
156. 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 (cited: 63)  crossref  mathscinet  zmath  elib  scopus (cited: 79)
157. 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 (cited: 6)  crossref  mathscinet  zmath  elib  scopus (cited: 7)
158. 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 (cited: 1)  crossref  mathscinet  zmath  elib  scopus (cited: 5)
159. 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 (cited: 1)  crossref  mathscinet  zmath  elib  scopus (cited: 5)

   2007
160. 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
161. 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
162. 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
163. 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
164. 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: 33)  elib  elib  scopus (cited: 36)
165. 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  elib  scopus (cited: 2)
166. 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 (cited: 24)  crossref  mathscinet  zmath  elib  scopus (cited: 30)
167. 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 (cited: 20)  crossref  mathscinet  zmath  elib  scopus (cited: 21)

   2006
168. 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  elib  scopus (cited: 3)
169. 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: 7)  elib  elib  scopus (cited: 6)
170. 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
171. 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
172. 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
173. 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
174. A. V. Borisov, I. S. Mamaev, “Dynamics of two vortex rings on a sphere”, Nelin. Dinam., 2:2 (2006), 181–192  mathnet  elib
175. 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)
176. 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 (cited: 11)  crossref  mathscinet  zmath  elib  scopus (cited: 14)

   2005
177. 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: 5)  elib  elib  scopus (cited: 5)
178. 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
179. 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
180. 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
181. 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
182. A. V. Borisov, I. S. Mamaev, “Superintegrable systems on a sphere”, Regul. Chaotic Dyn., 10:3 (2005), 257–266  mathnet (cited: 8)  crossref  mathscinet  zmath  elib  scopus (cited: 12)

   2004
183. 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: 3)
184. 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 (cited: 15)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 30)
185. 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 (cited: 13)  crossref  mathscinet  zmath  scopus (cited: 22)

   2003
186. A. V. Borisov, I. S. Mamaev, “Strange attractors in rattleback dynamics”, Phys. Usp., 46:4 (2003), 393–403  mathnet  crossref  crossref  isi (cited: 68)
187. 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 (cited: 11)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 33)
188. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Dynamics of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212  mathnet (cited: 14)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 45)
189. 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 (cited: 11)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 29)

   2002
190. 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: 36)  scopus (cited: 26)
191. 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 (cited: 49)  crossref  mathscinet  zmath  scopus (cited: 79)
192. 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 (cited: 59)  crossref  mathscinet  zmath  scopus (cited: 118)
193. 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 (cited: 7)  crossref  mathscinet  zmath  scopus (cited: 27)
194. A. V. Borisov, I. S. Mamaev, “Generalization of the GoryachevChaplygin Case”, Regul. Chaotic Dyn., 7:1 (2002), 21–30  mathnet (cited: 4)  crossref  mathscinet  zmath  scopus (cited: 7)

   2001
195. 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: 57)  elib
196. A. V. Borisov, I. S. Mamaev, “EulerPoisson Equations and Integrable Cases”, Regul. Chaotic Dyn., 6:3 (2001), 253–276  mathnet (cited: 3)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 7)
197. 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 (cited: 7)  crossref  mathscinet  zmath  scopus (cited: 7)

   2000
198. 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 (cited: 10)  crossref  mathscinet  zmath  scopus (cited: 20)

   1999
199. 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
200. A. V. Borisov, S. L. Dudoladov, “Kovalevskaya Exponents and Poisson Structures”, Regul. Chaotic Dyn., 4:3 (1999), 13–20  mathnet (cited: 4)  crossref  mathscinet  zmath
201. 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 (cited: 7)  crossref  mathscinet  zmath

   1998
202. 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 (cited: 5)  crossref  mathscinet  zmath
203. 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 (cited: 4)  crossref  mathscinet  zmath
204. 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 (cited: 14)  crossref  mathscinet  zmath

   1997
205. A. V. Borisov, I. S. Mamaev, “Adiabaticheskii khaos v dinamike tverdogo tela”, Regul. Chaotic Dyn., 2:2 (1997), 65–78  mathnet (cited: 5)  crossref  mathscinet  zmath
206. A. V. Borisov, N. N. Simakov, “Bifurkatsiya udvoeniya perioda v dinamike tverdogo tela”, Regul. Chaotic Dyn., 2:1 (1997), 64–74  mathnet (cited: 2)  crossref  mathscinet  zmath
207. A. V. Borisov, I. S. Mamaev, “Nelineinye skobki Puassona i izomorfizmy v dinamike”, Regul. Chaotic Dyn., 2:3 (1997), 72–89  mathnet (cited: 3)  crossref  mathscinet  zmath

   1996
208. A. V. Borisov, A. V. Tsygvintsev, “Pokazateli Kovalevskoi i integriruemye sistemy klassicheskoi dinamiki. I, II”, Regul. Chaotic Dyn., 1:1 (1996), 15–37  mathnet (cited: 10)  mathscinet  zmath
209. A. V. Borisov, “Necessary and Sufficient Conditions of Kirchhoff Equation Integrability”, Regul. Chaotic Dyn., 1:2 (1996), 61–76  mathnet (cited: 4)  crossref  mathscinet  zmath

   1995
210. 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

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.
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   

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