Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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Articles
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1. |
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
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5
[x]
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2. |
A. V. Borisov, A. V. Tsiganov, E. A. Mikishanina, “On inhomogeneous nonholonomic Bilimovich system”, Commun. Nonlinear Sci. Numer. Simul., 94 (2021), 105573 , 11 pp.
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4
[x]
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3. |
A. V. Borisov, A. V. Tsiganov, “Chaplygin ball in a solenoidal field”, Russian Math. Surveys, 76:3 (2021), 546–548 |
4. |
Alexey V. Borisov, Andrey V. Tsiganov, “On the Nonholonomic Routh Sphere in a Magnetic Field”, Regul. Chaotic Dyn., 25:1 (2020), 18–32
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2
[x]
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5. |
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 |
6. |
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 |
7. |
Alexey V. Borisov, Evgeniya A. Mikishanina, “Two Nonholonomic Chaotic Systems. Part I. On the Suslov Problem”, Regul. Chaotic Dyn., 25:3 (2020), 313–322
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4
[x]
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8. |
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
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2
[x]
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9. |
A. V. Borisov, E. A. Mikishanina, Nelin. Dinam., 16:3 (2020), 453–462 |
10. |
Alexey V. Borisov, Alexander P. Ivanov, “Dynamics of the Tippe Top on a Vibrating Base”, Regul. Chaotic Dyn., 25:6 (2020), 707–715
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11
[x]
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11. |
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 |
12. |
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
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2
[x]
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13. |
Sergey P. Kuznetsov, Vyacheslav P. Kruglov, Alexey V. Borisov, “Chaplygin sleigh in the quadratic potential field”, EPL, 132:2 (2020), 20008
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3
[x]
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14. |
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
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5
[x]
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15. |
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
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1
[x]
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16. |
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 |
17. |
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
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23
[x]
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18. |
Alexey V. Borisov, Andrey V. Tsiganov, “On the Chaplygin Sphere in a Magnetic Field”, Regul. Chaotic Dyn., 24:6 (2019), 739–754
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2
[x]
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19. |
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 |
20. |
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “A Nonholonomic Model of the Paul Trap”, Regul. Chaotic Dyn., 23:3 (2018), 339–354
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7
[x]
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21. |
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
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14
[x]
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22. |
Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, “Dynamics of Three Vortices on a Sphere”, Regul. Chaotic Dyn., 23:1 (2018), 127–134
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4
[x]
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23. |
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
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5
[x]
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24. |
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.
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16
[x]
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25. |
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
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6
[x]
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26. |
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
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27
[x]
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27. |
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
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17
[x]
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28. |
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
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11
[x]
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29. |
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 |
30. |
A. V. Borisov, I. S. Mamaev, “An inhomogeneous Chaplygin sleigh”, Nelin. Dinam., 13:4 (2017), 625–639 |
31. |
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 |
32. |
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 |
33. |
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 |
34. |
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
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41
[x]
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35. |
Alexey V. Borisov, Ivan S. Mamaev, “An Inhomogeneous Chaplygin Sleigh”, Regul. Chaotic Dyn., 22:4 (2017), 435–447
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13
[x]
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36. |
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 |
37. |
A. V. Borisov, A. A. Kilin, Yu. L. Karavaev, “Retrograde motion of a rolling disk”, Phys. Usp., 60:9 (2017), 931–934 |
38. |
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 |
39. |
Ivan A. Bizyaev, Alexey V. Borisov, Sergey P. Kuznetsov, “Chaplygin sleigh with periodically oscillating internal mass”, EPL, 119 (2017), 60008 , 7 pp.
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20
[x]
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40. |
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 |
41. |
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 |
42. |
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 |
43. |
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 |
44. |
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 |
45. |
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
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22
[x]
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46. |
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
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23
[x]
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47. |
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
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26
[x]
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48. |
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
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11
[x]
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49. |
Alexey V. Borisov, Ivan S. Mamaev, “Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics”, Regul. Chaotic Dyn., 21:2 (2016), 232–248
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4
[x]
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50. |
A. V. Borisov, I. S. Mamaev, “Rigid Body Dynamics in Non-Euclidean Spaces”, Russ. J. Math. Phys., 23:4 (2016), 431–454
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9
[x]
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51. |
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
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10
[x]
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52. |
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Generalizations of the Kovalevskaya case and quaternions”, Proc. Steklov Inst. Math., 295 (2016), 33–44 |
53. |
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 |
54. |
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
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7
[x]
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55. |
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 |
56. |
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
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7
[x]
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57. |
A. V. Borisov, I. S. Mamaev, “Symmetries and reduction in nonholonomic mechanics”, Regul. Chaotic Dyn., 20:5 (2015), 553–604 |
58. |
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. |
59. |
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 |
60. |
A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “The Jacobi integral in nonholonomic mechanics”, Regul. Chaotic Dyn., 20:3 (2015), 383–400 |
61. |
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Geometrisation of Chaplygin's reducing multiplier theorem”, Nonlinearity, 28:7 (2015), 2307–2318
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25
[x]
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62. |
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
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19
[x]
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63. |
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Dynamics and Control of an Omniwheel Vehicle”, Regul. Chaotic Dyn., 20:2 (2015), 153–172
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47
[x]
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64. |
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Hamiltonization of elementary nonholonomic systems”, Russ. J. Math. Phys., 22:4 (2015), 444–453
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10
[x]
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65. |
A. V. Borisov, I. S. Mamaev, “Equations of motion of non-holonomic systems”, Russian Math. Surveys, 70:6 (2015), 1167–1169 |
66. |
A. V. Borisov, I. S. Mamaev, “A new integrable system of nonholonomic mechanics”, Dokl. Math., 60:6 (2015), 269–271 |
67. |
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 |
68. |
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 |
69. |
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 |
70. |
Alexey V. Borisov, Ivan S. Mamaev, “Invariant measure and hamiltonization of nonholonomic systems”, Nelin. Dinam., 10:3 (2014), 355–359 |
71. |
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of three vortex sources”, Nelin. Dinam., 10:3 (2014), 319–327 |
72. |
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 |
73. |
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
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61
[x]
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74. |
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Three Vortex Sources”, Regul. Chaotic Dyn., 19:6 (2014), 694–701
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16
[x]
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75. |
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
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16
[x]
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76. |
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
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15
[x]
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77. |
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
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42
[x]
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78. |
A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “Non-holonomic dynamics and Poisson geometry”, Russian Math. Surveys, 69:3 (2014), 481–538 |
79. |
A. V. Borisov, A. O. Kazakov, S. P. Kuznetsov, “Nonlinear dynamics of the rattleback: a nonholonomic model”, Phys. Usp., 57:5 (2014), 453–460 |
80. |
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.
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10
[x]
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81. |
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
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10
[x]
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82. |
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 |
83. |
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Geometrization of the Chaplygin reducing-multiplier theorem”, Nelin. Dinam., 9:4 (2013), 627–640 |
84. |
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 |
85. |
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 |
86. |
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 |
87. |
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 |
88. |
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
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61
[x]
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89. |
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
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11
[x]
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90. |
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
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27
[x]
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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”, Regul. Chaotic Dyn., 18:3 (2013), 277–328
|
103
[x]
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92. |
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
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74
[x]
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93. |
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
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27
[x]
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94. |
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 |
95. |
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 |
96. |
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 |
97. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “How to control the Chaplygin sphere using rotors”, Nelin. Dinam., 8:2 (2012), 289–307 |
98. |
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 |
99. |
A. V. Borisov, I. S. Mamaev, “The dynamics of the Chaplygin ball with a fluid-filled cavity”, Nelin. Dinam., 8:1 (2012), 103–111 |
100. |
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
|
95
[x]
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101. |
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
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26
[x]
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102. |
Alexey V. Borisov, Ivan S. Mamaev, “Two non-holonomic integrable problems tracing back to Chaplygin”, Regul. Chaotic Dyn., 17:2 (2012), 191–198
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23
[x]
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103. |
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
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37
[x]
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104. |
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
|
56
[x]
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105. |
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
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20
[x]
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106. |
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 |
107. |
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 |
108. |
A. V. Borisov, I. S. Mamaev, “Two non-holonomic integrable systems of coupled rigid bodies”, Nelin. Dinam., 7:3 (2011), 559–568 |
109. |
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 |
110. |
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 |
111. |
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 |
112. |
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Hamiltonicity and integrability of the Suslov problem”, Regul. Chaotic Dyn., 16:1 (2011), 104–116
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41
[x]
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113. |
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
|
25
[x]
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114. |
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
|
57
[x]
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115. |
Alexey V. Borisov, Viatcheslav V. Meleshko, Mark Stremler, GertJan van Heijst, “Hassan Aref (1950–2011)”, Regul. Chaotic Dyn., 16:6 (2011), 671–684
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3
[x]
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116. |
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “On the Model of Non-holonomic Billiard”, Regul. Chaotic Dyn., 16:6 (2011), 653–662
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5
[x]
|
117. |
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 |
118. |
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 |
119. |
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 |
120. |
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Dynamic advection”, Nelin. Dinam., 6:3 (2010), 521–530 |
121. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On the model of non-holonomic billiard”, Nelin. Dinam., 6:2 (2010), 373–385 |
122. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Hamiltonian representation and integrability of the Suslov problem”, Nelin. Dinam., 6:1 (2010), 127–142 |
123. |
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Topology and stability of integrable systems”, Russian Math. Surveys, 65:2 (2010), 259–318 |
124. |
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 |
125. |
A. V. Borisov, “Computer visualization of nonholonomic systems motion”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 137–145 |
126. |
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
|
8
[x]
|
127. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462 |
128. |
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 |
129. |
A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Nelin. Dinam., 5:2 (2009), 145–158 |
130. |
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 |
131. |
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
|
20
[x]
|
132. |
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
|
25
[x]
|
133. |
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
|
15
[x]
|
134. |
A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Regul. Chaotic Dyn., 14:4 (2009), 455–465
|
7
[x]
|
135. |
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 |
136. |
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 |
137. |
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 |
138. |
A. V. Borisov, I. S. Mamaev, “Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems”, Nelin. Dinam., 4:3 (2008), 223–280 |
139. |
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 |
140. |
A. V. Borisov, “Numerical integration of differential dynamical equations. Vortex dynamics applications”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 1, 127–132 |
141. |
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
|
51
[x]
|
142. |
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
|
109
[x]
|
143. |
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
|
8
[x]
|
144. |
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
|
3
[x]
|
145. |
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
|
5
[x]
|
146. |
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 |
147. |
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 |
148. |
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 |
149. |
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 |
150. |
A. V. Borisov, I. S. Mamaev, “Isomorphism and Hamilton representation of some nonholonomic systems”, Siberian Math. J., 48:1 (2007), 26–36 |
151. |
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
|
2
[x]
|
152. |
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
|
37
[x]
|
153. |
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
|
32
[x]
|
154. |
A. V. Borisov, I. S. Mamaev, “An Integrable System with a Nonintegrable Constraint”, Math. Notes, 80:1 (2006), 127–130 |
155. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On a nonholonomic dynamical problem”, Math. Notes, 79:5 (2006), 734–740 |
156. |
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 |
157. |
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 |
158. |
A. V. Borisov, I. S. Mamaev, “Reduction in the two-body problem on the Lobatchevsky plane”, Nelin. Dinam., 2:3 (2006), 279–285 |
159. |
A. V. Borisov, I. S. Mamaev, “Interaction between Kirchhoff vortices and point vortices in an ideal fluid”, Nelin. Dinam., 2:2 (2006), 199–213 |
160. |
A. V. Borisov, I. S. Mamaev, “Dynamics of two vortex rings on a sphere”, Nelin. Dinam., 2:2 (2006), 181–192 |
161. |
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 |
162. |
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
|
19
[x]
|
163. |
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 |
164. |
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 |
165. |
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 |
166. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Absolute and relative choreographies in rigid body dynamics”, Nelin. Dinam., 1:1 (2005), 123–141 |
167. |
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 |
168. |
A. V. Borisov, I. S. Mamaev, “Superintegrable systems on a sphere”, Regul. Chaotic Dyn., 10:3 (2005), 257–266
|
15
[x]
|
169. |
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 |
170. |
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
|
43
[x]
|
171. |
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
|
28
[x]
|
172. |
A. V. Borisov, I. S. Mamaev, “Strange attractors in rattleback dynamics”, Phys. Usp., 46:4 (2003), 393–403 |
173. |
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
|
38
[x]
|
174. |
A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Dynamics of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212
|
49
[x]
|
175. |
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
|
31
[x]
|
176. |
A. V. Bolsinov, A. V. Borisov, “Compatible Poisson Brackets on Lie Algebras”, Math. Notes, 72:1 (2002), 10–30 |
177. |
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
|
99
[x]
|
178. |
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
|
145
[x]
|
179. |
A. V. Borisov, I. S. Mamaev, “On the History of the Development of the Nonholonomic Dynamics”, Regul. Chaotic Dyn., 7:1 (2002), 43–47
|
28
[x]
|
180. |
A. V. Borisov, I. S. Mamaev, “Generalization of the Goryachev–Chaplygin Case”, Regul. Chaotic Dyn., 7:1 (2002), 21–30
|
6
[x]
|
181. |
A. V. Borisov, I. S. Mamaev, “Chaplygin's Ball Rolling Problem Is Hamiltonian”, Math. Notes, 70:5 (2001), 720–723 |
182. |
A. V. Borisov, I. S. Mamaev, “Euler–Poisson Equations and Integrable Cases”, Regul. Chaotic Dyn., 6:3 (2001), 253–276
|
7
[x]
|
183. |
A. V. Borisov, I. S. Mamaev, A. G. Kholmskaya, “Kovalevskaya top and generalizations of integrable systems”, Regul. Chaotic Dyn., 6:1 (2001), 1–16
|
11
[x]
|
184. |
A. V. Borisov, A. A. Kilin, “Stability of Thomson's Configurations of Vortices on a Sphere”, Regul. Chaotic Dyn., 5:2 (2000), 189–200
|
24
[x]
|
185. |
A. V. Borisov, V. V. Kozlov, “Nonintegrability of a system of interacting particles with the Dyson potential”, Dokl. Math., 59:3 (1999), 485–486 |
186. |
A. V. Borisov, S. L. Dudoladov, “Kovalevskaya Exponents and Poisson Structures”, Regul. Chaotic Dyn., 4:3 (1999), 13–20
|
13
[x]
|
187. |
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
|
25
[x]
|
188. |
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
|
16
[x]
|
189. |
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
|
26
[x]
|
190. |
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
|
35
[x]
|
191. |
A. V. Borisov, I. S. Mamaev, “Adiabaticheskii khaos v dinamike tverdogo tela”, Regul. Chaotic Dyn., 2:2 (1997), 65–78
|
5
[x]
|
192. |
A. V. Borisov, N. N. Simakov, “Bifurkatsiya udvoeniya perioda v dinamike tverdogo tela”, Regul. Chaotic Dyn., 2:1 (1997), 64–74
|
2
[x]
|
193. |
A. V. Borisov, I. S. Mamaev, “Nelineinye skobki Puassona i izomorfizmy v dinamike”, Regul. Chaotic Dyn., 2:3 (1997), 72–89
|
4
[x]
|
194. |
A. V. Borisov, A. V. Tsygvintsev, “Pokazateli Kovalevskoi i integriruemye sistemy klassicheskoi dinamiki. I, II”, Regul. Chaotic Dyn., 1:1 (1996), 15–37
|
10
[x]
|
195. |
A. V. Borisov, “Necessary and Sufficient Conditions of Kirchhoff Equation Integrability”, Regul. Chaotic Dyn., 1:2 (1996), 61–76
|
4
[x]
|
196. |
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 |
Popular science or education materials
|
|
|
197. |
Alexey V. Borisov, Nikolay A. Kudryashov, “Paul Painlevé and His Contribution to Science”, Regul. Chaotic Dyn., 19:1 (2014), 1–19
|
19
[x]
|
Information matherials
|
|
|
198. |
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 |
199. |
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 |
Personalia
|
|
|
200. |
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 |
201. |
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
|
17
[x]
|
202. |
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 |
203. |
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 |
204. |
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 |
205. |
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 |
206. |
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 |
207. |
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 |
Critic, bibliography
|
|
|
208. |
A. V. Borisov, A. V. Tsiganov, Nelin. Dinam., 7:1 (2011), 177–187 |
Miscellaneous
|
|
|
209. |
A. V. Borisov, Nelin. Dinam., 6:4 (2010), 897–901 |
210. |
A. V. Borisov, I. S. Mamaev, Nelin. Dinam., 6:4 (2010), 893–895 |
211. |
V. F. Zhuravlyov, A. V. Borisov, Nelin. Dinam., 6:2 (2010), 365–369 |
Letters, errata
|
|
|
212. |
A. V. Borisov, I. S. Mamaev, “Notes on new friction models and nonholonomic mechanics”, Phys. Usp., 58:12 (2015), 1220–1222 ; ; ; ; ; ; ; ; ; ; |
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