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Kilin, Aleksandr Aleksandrovich

Total publications: 104 (103)
in MathSciNet: 54 (54)
in zbMATH: 31 (31)
in Web of Science: 36 (36)
in Scopus: 53 (53)
Cited articles: 88
Citations: 1485
Presentations: 6

Number of views:
This page:2506
Abstract pages:27517
Full texts:6176
References:3321
Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person21496
https://scholar.google.com/citations?user=QaJ4H5EAAAAJ&hl=en
https://zbmath.org/authors/?q=ai:kilin.alexander-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/652896
https://elibrary.ru/author_items.asp?spin=1563-7861
https://orcid.org/0000-0003-1358-5960
https://www.webofscience.com/wos/author/record/M-7840-2014
https://www.scopus.com/authid/detail.url?authorId=6602549842

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


Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1. 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  mathnet  crossref
2. 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  mathnet  crossref
3. Alexander A. Kilin, Elena N. Pivovarova, “Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint”, Regul. Chaotic Dyn., 28:1 (2023), 78–106  mathnet  crossref  mathscinet 4
4. 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  mathnet  crossref  mathscinet
5. 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  mathnet  crossref 1
6. 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  mathnet  crossref
7. Elizaveta M. Artemova, Alexander A. Kilin, “Dynamics of Two Vortex Rings in a Bose – Einstein Condensate”, Regul. Chaotic Dyn., 27:6 (2022), 713–732  mathnet  crossref  mathscinet 2
8. 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  mathnet  crossref  mathscinet  isi
9. 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  mathnet  crossref  mathscinet
10. 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  mathnet  crossref  mathscinet  isi  scopus 4
11. 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  mathnet  crossref  scopus 1
12. 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  mathnet  crossref  mathscinet  isi  scopus 13
13. A. A. Kilin, E. M. Artemova, “Stability of regular vortex polygons in Bose–Einstein condensate”, Izv. IMI UdGU, 56 (2020), 20–29  mathnet  crossref  isi  scopus
14. 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  mathnet  crossref  isi  scopus
15. 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  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus 8
16. Alexander A. Kilin, lizaveta M. Artemova, “Integrability and Chaos in Vortex Lattice Dynamics”, Regul. Chaotic Dyn., 24:1 (2019), 101–113  mathnet  crossref  mathscinet  zmath  isi  scopus 7
17. 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  mathnet  crossref  mathscinet  zmath  isi  scopus 4
18. 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 1
19. 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
20. 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  mathnet  crossref  mathscinet  elib  scopus
21. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “A Nonholonomic Model of the Paul Trap”, Regul. Chaotic Dyn., 23:3 (2018), 339–354  mathnet  crossref  mathscinet  adsnasa  isi  scopus 7
22. 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  mathnet  crossref  zmath  isi  scopus 22
23. Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, “Dynamics of Three Vortices on a Sphere”, Regul. Chaotic Dyn., 23:1 (2018), 127–134  mathnet  crossref  mathscinet  isi  scopus 4
24. 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  mathnet  crossref  mathscinet  scopus
25. 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  mathnet  mathnet  crossref  mathscinet  zmath  isi  scopus 4
26. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
27. 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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
28. A. V. Borisov, E. V. Vetchanin, A. A. Kilin, “Control of the Motion of a Triaxial Ellipsoid in a Fluid Using Rotors”, Math. Notes, 102:4 (2017), 455–464  mathnet  crossref  crossref  mathscinet  isi  elib  elib  elib  scopus
29. A. V. Borisov, A. A. Kilin, Yu. L. Karavaev, “Retrograde motion of a rolling disk”, Phys. Usp., 60:9 (2017), 931–934  mathnet  crossref  crossref  adsnasa  isi  elib  scopus
30. 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  mathnet  crossref  mathscinet  isi  scopus 11
31. 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  mathnet  crossref  elib
32. 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  mathnet  crossref  elib
33. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “The Hamilton principle and the rolling motion of a symmetric ball”, Doklady Physics, 62:6 (2017), 314–317  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
34. 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  mathnet  crossref  mathscinet  isi  scopus 11
35. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
36. 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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
37. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On the Hadamard–Hamel problem and the dynamics of wheeled vehicles”, Regul. Chaotic Dyn., 20:6 (2015), 752–766  mathnet  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib  scopus 8
38. 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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
39. I. A. Bizyaev, A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups”, Regular and Chaotic Dynamics, 21:6 (2016), 759–774  mathnet  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
40. 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  mathnet  crossref  mathscinet  elib
41. 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  mathnet  crossref  isi  scopus 16
42. 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  mathnet  crossref  isi  scopus 14
43. 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  mathnet  crossref  isi  scopus 7
44. Yury L. Karavaev, Alexander A. Kilin, “The dynamic of a spherical robot with an internal omniwheel platform”, Nelin. Dinam., 11:1 (2015), 187–204  mathnet  elib
45. 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  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 68
46. 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  mathnet  crossref  mathscinet  adsnasa  isi  elib  scopus 18
47. 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  mathnet  elib
48. 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  mathnet  elib
49. A. A. Kilin, Yu. L. Karavaev, “Experimental research of dynamic of spherical robot of combined type”, Nelin. Dinam., 11:4 (2015), 721–734  mathnet  elib
50. 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  mathnet  crossref  mathscinet  adsnasa  isi  scopus 51
51. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Dynamics and Control of an Omniwheel Vehicle”, Regul. Chaotic Dyn., 20:2 (2015), 153–172  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 47
52. 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  mathnet  crossref  mathscinet  elib 7
53. 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  mathnet  elib
54. Alexander A. Kilin, Andrei D. Bobykin, “Control of a vehicle with omniwheels on a plane”, Nelin. Dinam., 10:4 (2014), 473–481  mathnet  elib
55. 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  mathnet  elib
56. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, Valentin A. Tenenev, “The dynamics of vortex rings: leapfrogging in an ideal and viscous fluid”, Fluid Dyn. Res., 46:3 (2014), 31415 , 16 pp.  mathnet  crossref  mathscinet 10
57. 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
58. Alexey V. Bolsinov, Alexander A. Kilin, Alexey O. Kazakov, “Topological monodromy in nonholonomic systems”, Nelin. Dinam., 9:2 (2013), 203–227  mathnet  elib
59. 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
60. 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  mathnet  crossref  mathscinet  zmath  isi 74
61. 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  mathnet  crossref  mathscinet  zmath  isi 27
62. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The Problem of Drift and Recurrence for the Rolling Chaplygin Ball”, Regul. Chaotic Dyn., 18:6 (2013), 832–859  mathnet  crossref  mathscinet  zmath  isi 61
63. 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
64. 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
65. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to control Chaplygin’s sphere using rotors”, Regul. Chaotic Dyn., 17:3-4 (2012), 258–272  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 93
66. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support”, Regul. Chaotic Dyn., 17:2 (2012), 170–190  mathnet  crossref  zmath 26
67. 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
68. 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
69. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Hamiltonicity and integrability of the Suslov problem”, Regul. Chaotic Dyn., 16:1 (2011), 104–116  mathnet  crossref  mathscinet  zmath  scopus 39
70. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Rolling of a Homogeneous Ball over a Dynamically Asymmetric Sphere”, Regul. Chaotic Dyn., 16:5 (2011), 465–483  mathnet  crossref  mathscinet  zmath  scopus 25
71. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “On the Model of Non-holonomic Billiard”, Regul. Chaotic Dyn., 16:6 (2011), 653–662  mathnet  crossref  mathscinet  zmath  scopus 5
72. 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
73. 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
74. 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
75. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462  mathnet  elib
76. A. A. Kilin, “The Jacobi problem on a plane”, Nelin. Dinam., 5:1 (2009), 83–86  mathnet  elib
77. 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
78. A. A. Kilin, “Numerical simulation of multiparticle systems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 3, 135–146  mathnet
79. A. A. Kilin, “Methods of high-accuracy integration and effectivity of calculus”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 1, 153–161  mathnet
80. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “The Hamiltonian Dynamics of Self-gravitating Liquid and Gas Ellipsoids”, Regul. Chaotic Dyn., 14:2 (2009), 179–217  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 20
81. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Multiparticle Systems. The Algebra of Integrals and Integrable Cases”, Regul. Chaotic Dyn., 14:1 (2009), 18–41  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 25
82. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Superintegrable system on a sphere with the integral of higher degree”, Regul. Chaotic Dyn., 14:6 (2009), 615–620  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 15
83. 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
84. A. A. Kilin, “Optimal programming of the rigid body dynamics problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3, 126–135  mathnet
85. 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  mathnet
86. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Stability of Steady Rotations in the Nonholonomic Routh Problem”, Regul. Chaotic Dyn., 13:4 (2008), 239–249  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 8
87. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Chaos in a Restricted Problem of Rotation of a Rigid Body with a Fixed Point”, Regul. Chaotic Dyn., 13:3 (2008), 221–233  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 3
88. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Absolute and Relative Choreographies in Rigid Body Dynamics”, Regul. Chaotic Dyn., 13:3 (2008), 204–220  mathnet  crossref  mathscinet  zmath  adsnasa  elib  scopus 5
89. 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
90. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On a nonholonomic dynamical problem”, Math. Notes, 79:5 (2006), 734–740  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
91. 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
92. A. A. Kilin, “New integral in nonholonomic Painlevé–Chaplygin problem”, Nelin. Dinam., 2:2 (2006), 193–198  mathnet  elib
93. 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
94. 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
95. 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
96. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Two-body problem on a sphere. Reduction, stochasticity, periodic orbits”, Regul. Chaotic Dyn., 9:3 (2004), 265–279  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 42
97. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Absolute and relative choreographies in the problem of point vortices moving on a plane”, Regul. Chaotic Dyn., 9:2 (2004), 101–111  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 28
98. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Dynamics of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 49
99. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “The rolling motion of a ball on a surface. New integrals and hierarchy of dynamics”, Regul. Chaotic Dyn., 7:2 (2002), 201–219  mathnet  crossref  mathscinet  zmath  scopus 98
100. A. A. Kilin, “The Dynamics of Chaplygin Ball: the Qualitative and Computer Analysis”, Regul. Chaotic Dyn., 6:3 (2001), 291–306  mathnet  crossref  mathscinet  zmath  adsnasa  scopus 67
101. 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  mathnet  crossref  mathscinet  zmath  scopus
102. A. V. Borisov, A. A. Kilin, “Stability of Thomson's Configurations of Vortices on a Sphere”, Regul. Chaotic Dyn., 5:2 (2000), 189–200  mathnet  crossref  mathscinet  zmath  scopus 24
103. A. A. Kilin, “Libration points in spaces $S^2$ and $L^2$”, Regul. Chaotic Dyn., 4:1 (1999), 91–103  mathnet  crossref  mathscinet  zmath  scopus 14

Personalia

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  mathnet  elib; ; ; ; ; ; ; ; ; ;

Presentations in Math-Net.Ru
1. Nonlinear Aссeleration in Nonholonomic Meсhaniсs
I. S. Mamaev, I. A. Bizyaev, A. A. Kilin
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 8, 2023 17:35   
2. Динамика несбалансированного диска с одной неголономной связью.
A. A. Kilin
Hamiltonian systems and statistical mechanics
March 27, 2023 17:00   
3. Динамика двух вихревых колец в конденсате Бозе–Эйнштейна
A. A. Kilin

November 9, 2022 15:00
4. Two problems of spherical bodies rolling on a vibrating plane
A. A. Kilin
Regular and Chaotic Dynamics
November 23, 2021 12:20   
5. Динамика многозвенных колёсных систем
A. A. Kilin

August 9, 2021 15:50
6. Параболический маятник Чаплыгина и ловушка Пауля: неинтегрируемость, устойчивость, ограниченность движения
A. A. Kilin
International School of Young Mechanics and Mathematicians "Modern nonlinear dynamics"
November 7, 2019 10:00   

Organisations
 
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