| 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. |
Alexander A. Kilin, Tatiana B. Ivanova, Yury L. Karavaev, Kirill S. Yefremov, “Theoretical and experimental investigations of the controlled motion of a roller racer”, Theor. Appl. Mech., 52:1 (2025), 39–65   |
| 2. |
Alexander A. Kilin, Elena N. Pivovarova, Tatiana B. Ivanova, “Rolling of a Homogeneous Ball on a Moving Cylinder”, Regul. Chaotic Dyn., 30:4 (2025), 628–638 |
| 3. |
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 |
| 4. |
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 |
| 5. |
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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5
[x]
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| 6. |
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 |
| 7. |
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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4
[x]
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| 8. |
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 |
| 9. |
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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6
[x]
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| 10. |
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  |
| 11. |
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
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1
[x]
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| 12. |
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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6
[x]
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| 13. |
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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| 14. |
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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16
[x]
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| 15. |
A. A. Kilin, E. M. Artemova, “Stability of regular vortex polygons in Bose–Einstein condensate”, Izv. IMI UdGU, 56 (2020), 20–29 |
| 16. |
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 |
| 17. |
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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| 18. |
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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| 19. |
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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5
[x]
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| 20. |
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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2
[x]
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| 21. |
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  |
| 22. |
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 |
| 23. |
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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| 24. |
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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| 25. |
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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| 26. |
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 |
| 27. |
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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5
[x]
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| 28. |
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 |
| 29. |
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 |
| 30. |
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 |
| 31. |
A. V. Borisov, A. A. Kilin, Yu. L. Karavaev, “Retrograde motion of a rolling disk”, Phys. Usp., 60:9 (2017), 931–934 |
| 32. |
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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12
[x]
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| 33. |
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 |
| 34. |
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 |
| 35. |
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 |
| 36. |
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
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| 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. |
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 |
| 39. |
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
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| 40. |
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 |
| 41. |
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 |
| 42. |
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 |
| 43. |
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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17
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| 44. |
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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15
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| 45. |
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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| 46. |
Yury L. Karavaev, Alexander A. Kilin, “The dynamic of a spherical robot with an internal omniwheel platform”, Nelin. Dinam., 11:1 (2015), 187–204 |
| 47. |
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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71
[x]
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| 48. |
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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20
[x]
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| 49. |
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 |
| 50. |
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 |
| 51. |
A. A. Kilin, Yu. L. Karavaev, “Experimental research of dynamic of spherical robot of combined type”, Nelin. Dinam., 11:4 (2015), 721–734 |
| 52. |
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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55
[x]
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| 53. |
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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| 54. |
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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9
[x]
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| 55. |
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 |
| 56. |
Alexander A. Kilin, Andrei D. Bobykin, “Control of a vehicle with omniwheels on a plane”, Nelin. Dinam., 10:4 (2014), 473–481 |
| 57. |
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 |
| 58. |
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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| 59. |
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 |
| 60. |
Alexey V. Bolsinov, Alexander A. Kilin, Alexey O. Kazakov, “Topological monodromy in nonholonomic systems”, Nelin. Dinam., 9:2 (2013), 203–227 |
| 61. |
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 |
| 62. |
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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77
[x]
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| 63. |
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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33
[x]
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| 64. |
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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62
[x]
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| 65. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “How to control the Chaplygin sphere using rotors”, Nelin. Dinam., 8:2 (2012), 289–307 |
| 66. |
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 |
| 67. |
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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96
[x]
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| 68. |
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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27
[x]
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| 69. |
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 |
| 70. |
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 |
| 71. |
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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| 72. |
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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26
[x]
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| 73. |
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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| 74. |
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 |
| 75. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On the model of non-holonomic billiard”, Nelin. Dinam., 6:2 (2010), 373–385 |
| 76. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Hamiltonian representation and integrability of the Suslov problem”, Nelin. Dinam., 6:1 (2010), 127–142 |
| 77. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462 |
| 78. |
A. A. Kilin, “The Jacobi problem on a plane”, Nelin. Dinam., 5:1 (2009), 83–86 |
| 79. |
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 |
| 80. |
A. A. Kilin, “Numerical simulation of multiparticle systems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 3, 135–146 |
| 81. |
A. A. Kilin, “Methods of high-accuracy integration and effectivity of calculus”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 1, 153–161 |
| 82. |
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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| 83. |
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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26
[x]
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| 84. |
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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| 85. |
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 |
| 86. |
A. A. Kilin, “Optimal programming of the rigid body dynamics problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3, 126–135 |
| 87. |
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 |
| 88. |
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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| 89. |
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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| 90. |
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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| 91. |
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 |
| 92. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On a nonholonomic dynamical problem”, Math. Notes, 79:5 (2006), 734–740 |
| 93. |
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 |
| 94. |
A. A. Kilin, “New integral in nonholonomic Painlevé–Chaplygin problem”, Nelin. Dinam., 2:2 (2006), 193–198 |
| 95. |
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 |
| 96. |
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 |
| 97. |
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Absolute and relative choreographies in rigid body dynamics”, Nelin. Dinam., 1:1 (2005), 123–141 |
| 98. |
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
|
44
[x]
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| 99. |
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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| 100. |
A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Dynamics of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212
|
49
[x]
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| 101. |
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
|
103
[x]
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| 102. |
A. A. Kilin, “The Dynamics of Chaplygin Ball: the Qualitative and Computer Analysis”, Regul. Chaotic Dyn., 6:3 (2001), 291–306
|
69
[x]
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| 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
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1
[x]
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| 104. |
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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25
[x]
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| 105. |
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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Personalia
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| 106. |
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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