| Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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| 1. |
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     
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99
[x]
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| 2. |
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 
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95
[x]
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| 3. |
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to Control the Chaplygin Ball Using Rotors. II”, Regul. Chaotic Dyn., 18:1 (2013), 144–158 
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74
[x]
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| 4. |
Yury L. Karavaev, Alexander A. Kilin, “The dynamics and control of a spherical robot with an internal omniwheel platform”, Regul. Chaotic Dyn., 20:2 (2015), 134–152 
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68
[x]
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| 5. |
A. A. Kilin, “The Dynamics of Chaplygin Ball: the Qualitative and Computer Analysis”, Regul. Chaotic Dyn., 6:3 (2001), 291–306
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68
[x]
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| 6. |
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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| 7. |
Alexander A. Kilin, Elena N. Pivovarova, Tatyana B. Ivanova, “Spherical Robot of Combined Type: Dynamics and Control”, Regul. Chaotic Dyn., 20:6 (2015), 716–728
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51
[x]
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| 8. |
A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Dynamics of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212
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49
[x]
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| 9. |
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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| 10. |
Yu. L. Karavaev, A. A. Kilin, “Nonholonomic dynamics and control of a spherical robot with an internal omniwheel platform: theory and experiments”, Proc. Steklov Inst. Math., 295 (2016), 158–167 |
| 11. |
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
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43
[x]
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| 12. |
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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| 13. |
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
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8
[x]
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| 14. |
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
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28
[x]
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| 15. |
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The Dynamics of Vortex Rings: Leapfrogging, Choreographies and the Stability Problem”, Regul. Chaotic Dyn., 18:1 (2013), 33–62
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27
[x]
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| 16. |
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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| 17. |
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
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25
[x]
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| 18. |
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
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25
[x]
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| 19. |
A. V. Borisov, A. A. Kilin, “Stability of Thomson's Configurations of Vortices on a Sphere”, Regul. Chaotic Dyn., 5:2 (2000), 189–200
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24
[x]
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| 20. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “How to control the Chaplygin sphere using rotors”, Nelin. Dinam., 8:2 (2012), 289–307 |
| 21. |
Tatyana B. Ivanova, Alexander A. Kilin, Elena N. Pivovarova, “Controlled motion of a cpherical robot with feedback. I”, J. Dyn. Control Syst., 24:3 (2018), 497–510
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22
[x]
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| 22. |
A. V. Borisov, A. A. Kilin, Yu. L. Karavaev, “Retrograde motion of a rolling disk”, Phys. Usp., 60:9 (2017), 931–934 |
| 23. |
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 |
| 24. |
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
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20
[x]
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| 25. |
A. V. Borisov, I. S. Mamaev, A. A. Kilin, I. A. Bizyaev, “Qualutative analysis of the dynamics of a wheeled vehicle”, Regul. Chaotic Dyn., 20:6 (2015), 739–751
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19
[x]
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| 26. |
Anatolii I. Klenov, Alexander A. Kilin, “Influence of Vortex Structures on the Controlled Motion of an Above-water Screwless Robot”, Regul. Chaotic Dyn., 21:7-8 (2016), 927–938
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16
[x]
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| 27. |
E. V. Vetchanin, A. A. Kilin, “Controlled motion of a rigid body with internal mechanisms in an ideal incompressible fluid”, Proc. Steklov Inst. Math., 295 (2016), 302–332 |
| 28. |
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 |
| 29. |
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 |
| 30. |
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
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15
[x]
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| 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 |
| 32. |
Yury L. Karavaev, Alexander A. Kilin, Anton V. Klekovkin, “Experimental Investigations of the Controlled Motion of a Screwless Underwater Robot”, Regul. Chaotic Dyn., 21:7-8 (2016), 918–926
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14
[x]
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| 33. |
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 |
| 34. |
A. A. Kilin, “Libration points in spaces $S^2$ and $L^2$”, Regul. Chaotic Dyn., 4:1 (1999), 91–103
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14
[x]
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| 35. |
Alexander A. Kilin, Elena N. Pivovarova, “Stability and Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base”, Regul. Chaotic Dyn., 25:6 (2020), 729–752 ;
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13
[x]
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| 36. |
Alexander A. Kilin, Yury L. Karavaev, Anton V. Klekovkin, “Kinematic control of a high manoeuvrable mobile spherical robot with internal omni-wheeled platform”, Nelin. Dinam., 10:1 (2014), 113–126 |
| 37. |
E. V. Vetchanin, A. A. Kilin, “Free and controlled motion of a body with a moving internal mass through a fluid in the presence of circulation around the body”, Dokl. Phys., 61:1 (2016), 32–36 |
| 38. |
Alexander A. Kilin, Yury L. Karavaev, “The kinematic control model for a spherical robot with an unbalanced internal omniwheel platform”, Nelin. Dinam., 10:4 (2014), 497–511 |
| 39. |
Alexander A. Kilin, Elena N. Pivovarova, “The Rolling Motion of a Truncated Ball Without Slipping and Spinning on a Plane”, Regul. Chaotic Dyn., 22:3 (2017), 298–317
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11
[x]
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| 40. |
Evgeny V. Vetchanin, Alexander A. Kilin, “Control of body motion in an ideal fluid using the internal mass and the rotor in the presence of circulation around the body”, J. Dyn. Control Syst., 23:2 (2017), 435–458
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11
[x]
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| 41. |
A. A. Kilin, E. V. Vetchanin, “The contol of the motion through an ideal fluid of a rigid body by means of two moving masses”, Nelin. Dinam., 11:4 (2015), 633–645 |
| 42. |
A. A. Kilin, Yu. L. Karavaev, “Experimental research of dynamic of spherical robot of combined type”, Nelin. Dinam., 11:4 (2015), 721–734 |
| 43. |
Yu. L. Karavaev, A. V. Klekovkin, A. A. Kilin, “The dynamical model of the rolling friction of spherical bodies on a plane without slipping”, Nelin. Dinam., 13:4 (2017), 599–609 |
| 44. |
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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| 45. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On a nonholonomic dynamical problem”, Math. Notes, 79:5 (2006), 734–740 |
| 46. |
Tatyana B. Ivanova, Alexander A. Kilin, Elena N. Pivovarova, “Controlled Motion of a Spherical Robot with Feedback. II”, J. Dyn. Control Syst., 25:1 (2019), 1–16
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8
[x]
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| 47. |
Yury L. Karavaev, Alexander A. Kilin, “The dynamic of a spherical robot with an internal omniwheel platform”, Nelin. Dinam., 11:1 (2015), 187–204 |
| 48. |
A. V. Bolsinov, A. A. Kilin, A. O. Kazakov, “Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: Pro or contra?”, J. Geom. Phys., 87 (2015), 61–75
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8
[x]
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| 49. |
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 |
| 50. |
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
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8
[x]
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| 51. |
A. A. Kilin, E. N. Pivovarova, “Nonintegrability of the problem of a spherical top rolling on a vibrating plane”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:4 (2020), 628–644 |
| 52. |
Alexander A. Kilin, lizaveta M. Artemova, “Integrability and Chaos in Vortex Lattice Dynamics”, Regul. Chaotic Dyn., 24:1 (2019), 101–113
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7
[x]
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| 53. |
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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| 54. |
A. A. Kilin, E. N. Pivovarova, T. B. Ivanova, “Controlled Motion of a Spherical Robot of Pendulum Type on an Inclined Plane”, Dokl. Math., 63:7 (2018), 302–306 |
| 55. |
Evgeny V. Vetchanin, Alexander A. Kilin, Ivan S. Mamaev, “Control of the Motion of a Helical Body in a Fluid Using Rotors”, Regul. Chaotic Dyn., 21:7-8 (2016), 874–884
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7
[x]
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| 56. |
Alexander A. Kilin, Andrei D. Bobykin, “Control of a vehicle with omniwheels on a plane”, Nelin. Dinam., 10:4 (2014), 473–481 |
| 57. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Hamiltonian representation and integrability of the Suslov problem”, Nelin. Dinam., 6:1 (2010), 127–142 |
| 58. |
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 |
| 59. |
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 |
| 60. |
A. A. Kilin, A. I. Klenov, V. A. Tenenev, “Controlling the movement of the body using internal masses in a viscous liquid”, Computer Research and Modeling, 10:4 (2018), 445–460 |
| 61. |
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]
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| 62. |
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
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5
[x]
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| 63. |
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 |
| 64. |
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 |
| 65. |
Alexander A. Kilin, Elena N. Pivovarova, “Dynamics of an Unbalanced Disk
with a Single Nonholonomic Constraint”, Regul. Chaotic Dyn., 28:1 (2023), 78–106 ;
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4
[x]
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| 66. |
Alexander A. Kilin, Elena N. Pivovarova, “A Particular Integrable Case in the Nonautonomous Problem
of a Chaplygin Sphere Rolling on a Vibrating Plane”, Regul. Chaotic Dyn., 26:6 (2021), 775–786 ;
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4
[x]
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| 67. |
Alexander A. Kilin, Elena N. Pivovarova, “Qualitative Analysis of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges”, Regul. Chaotic Dyn., 24:2 (2019), 212–233
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4
[x]
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| 68. |
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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| 69. |
Alexander A. Kilin, Elena N. Pivovarova, “Integrable Nonsmooth Nonholonomic Dynamics of a Rubber Wheel with Sharp Edges”, Regul. Chaotic Dyn., 23:7 (2018), 887–907
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4
[x]
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| 70. |
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 |
| 71. |
A. A. Kilin, E. M. Artemova, “Stability of regular vortex polygons in Bose–Einstein condensate”, Izv. IMI UdGU, 56 (2020), 20–29 |
| 72. |
Yu. L. Karavaev, A. A. Kilin, “The Dynamics of a Spherical Robot of Combined Type by Periodic Control Actions”, Nelin. Dinam., 15:4 (2019), 497–504 |
| 73. |
E. V. Vetchanin, A. A. Kilin, “Control of the motion of an unbalanced heavy ellipsoid in an ideal fluid using rotors”, Nelin. Dinam., 12:4 (2016), 663–674 |
| 74. |
A. I. Klenov, E. V. Vetchanin, A. A. Kilin, “Experimental determination of the added masses by method of towing”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015), 568–582 |
| 75. |
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 |
| 76. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Rolling of a homogeneous ball over a dynamically asymmetric sphere”, Nelin. Dinam., 6:4 (2010), 869–889 |
| 77. |
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
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3
[x]
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| 78. |
Elizaveta M. Artemova, Alexander A. Kilin, “Dynamics of Two Vortex Rings in a Bose – Einstein Condensate”, Regul. Chaotic Dyn., 27:6 (2022), 713–732 ;
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2
[x]
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| 79. |
E. V. Vetchanin, V. A. Tenenev, A. A. Kilin, “Optimal control of the motion in an ideal fluid of a screw-shaped body with internal rotors”, Computer Research and Modeling, 9:5 (2017), 741–759 |
| 80. |
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 |
| 81. |
Alexey V. Bolsinov, Alexander A. Kilin, Alexey O. Kazakov, “Topological monodromy in nonholonomic systems”, Nelin. Dinam., 9:2 (2013), 203–227 |
| 82. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Absolute and relative choreographies in rigid body dynamics”, Nelin. Dinam., 1:1 (2005), 123–141 |
| 83. |
Alexander A. Kilin, Tatiana B. Ivanova, Elena N. Pivovarova, “Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base Using Feedback”, Regul. Chaotic Dyn., 28:6 (2023), 888–905 ;
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1
[x]
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| 84. |
E. M. Artemova, A. A. Kilin, Yu. V. Korobeinikova, “Investigation of the orbital stability of rectilinear motions of roller-racer on a vibrating plane”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:4 (2022), 615–629 |
| 85. |
I. S. Mamaev, A. A. Kilin, Yu. L. Karavaev, V. A. Shestakov, “Criteria of Motion Without Slipping for
an Omnidirectional Mobile Robot”, Rus. J. Nonlin. Dyn., 17:4 (2021), 527–546 ;
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1
[x]
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| 86. |
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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| 87. |
T. B. Ivanova, A. A. Kilin, E. N. Pivovarova, “Control of the Rolling Motion of a Spherical Robot on an Inclined Plane”, Doklady Physics, 63:10 (2018), 435–440 |
| 88. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On the model of non-holonomic billiard”, Nelin. Dinam., 6:2 (2010), 373–385 |
| 89. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462 |
| 90. |
A. A. Kilin, “The Jacobi problem on a plane”, Nelin. Dinam., 5:1 (2009), 83–86 |
| 91. |
A. A. Kilin, “Numerical simulation of multiparticle systems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 3, 135–146 |
| 92. |
A. A. Kilin, “Methods of high-accuracy integration and effectivity of calculus”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 1, 153–161 |
| 93. |
A. A. Kilin, “Optimal programming of the rigid body dynamics problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3, 126–135 |
| 94. |
A. A. Kilin, “Generalization of Lagrange's identity and new integrals of motion”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3, 69–74 |
| 95. |
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 |
| 96. |
A. A. Kilin, “New integral in nonholonomic Painlevé–Chaplygin problem”, Nelin. Dinam., 2:2 (2006), 193–198 |
| 97. |
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 |
| 98. |
A. A. Kilin, E. M. Artemova, “Bifurcation Analysis of the Problem of Two Vortices on a Finite Flat Cylinder”, Rus. J. Nonlin. Dyn., 20:1 (2024), 95–111 ; |
| 99. |
A. V. Klekovkin, Yu. L. Karavaev, A. A. Kilin, A. V. Nazarov, “The influence of tail fins on the speed of an aquatic robot driven by internal moving masses”, Computer Research and Modeling, 16:3 (2024), 869–882 |
| 100. |
A. A. Kilin, T. B. Ivanova, “The Integrable Problem of the Rolling Motion
of a Dynamically Symmetric Spherical Top
with One Nonholonomic Constraint”, Rus. J. Nonlin. Dyn., 19:1 (2023), 3–17 ; |
| 101. |
A. A. Kilin, T. B. Ivanova, “The Problem of the Rolling Motion
of a Dynamically Symmetric Spherical Top
with One Nonholonomic Constraint”, Rus. J. Nonlin. Dyn., 19:4 (2023), 533–543 ; |
| 102. |
E. M. Artemova, A. A. Kilin, “A Nonholonomic Model and Complete Controllability
of a Three-Link Wheeled Snake Robot”, Rus. J. Nonlin. Dyn., 18:4 (2022), 681–707 ; |
| 103. |
A. A. Kilin, “First Integral in the Problem of Motion of a Circular Cylinder and a Point Vortex in Unbounded Ideal Fluid”, Regul. Chaotic Dyn., 6:2 (2001), 233–234 |
| 104. |
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 |
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