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Kilin Aleksandr Aleksandrovich

Total publications: 64 (63)
in MathSciNet: 23 (23)
in zbMATH: 8 (8)
in Web of Science: 23 (23)
in Scopus: 21 (21)
Cited articles: 43
Citations in Math-Net.Ru: 257
Citations in MathSciNet (by Sep 2017): 75
Citations in Web of Science: 181
Citations in Scopus: 133

Number of views:
This page:836
Abstract pages:9088
Full texts:1539
References:1125
Professor
Doctor of physico-mathematical sciences
E-mail: ,

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

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



   2018
1. Tatyana B. Ivanova, Alexander A. Kilin, Elena N. Pivovarova, “Controlled Motion of a Spherical Robot with Feedback. II”, J. Dyn. Control Syst., 2018 (to appear)  mathnet  crossref
2. 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
3. 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 (cited: 1)
4. 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

   2017
5. A. V. Borisov, E. V. Vetchanin, A. A. Kilin, “Control of the Motion of a Triaxial Ellipsoid in a Fluid Using Rotors”, Math. Notes, 102:4 (2017), 455–464  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  elib  scopus
6. 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 (cited: 1)
7. 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 (cited: 1)  crossref  mathscinet  isi  scopus (cited: 1)
8. 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
9. 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
10. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “The Hamilton principle and the rolling motion of a symmetric ball”, Doklady Physics, 62:6 (2017), 314–317  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
11. 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  scopus

   2016
12. 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  isi (cited: 5)  elib  elib  scopus (cited: 5)
13. 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 (cited: 4)  elib  scopus (cited: 5)

   2015
14. 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 (cited: 8)  mathnet (cited: 8)  crossref  mathscinet  adsnasa  isi (cited: 10)  elib  scopus (cited: 13)

   2016
15. 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 (cited: 4)  elib  scopus (cited: 8)
16. I. A. Bizyaev, A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups”, Regular and Chaotic Dynamics, 21:6 (2016), 759–774  mathnet  mathnet  crossref  crossref  mathscinet  isi  elib  scopus (cited: 3)
17. 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
18. 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 (cited: 1)  crossref  isi (cited: 2)  scopus (cited: 3)
19. 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 (cited: 1)  crossref  isi (cited: 2)  scopus (cited: 3)
20. 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 (cited: 4)  crossref  isi (cited: 3)  scopus (cited: 5)

   2015
21. 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
22. 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 (cited: 15)  crossref  mathscinet (cited: 8)  zmath  adsnasa  isi (cited: 24)  elib (cited: 13)  scopus (cited: 29)
23. 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 (cited: 5)  crossref  mathscinet (cited: 3)  adsnasa  isi (cited: 7)  scopus (cited: 9)
24. 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
25. 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
26. 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
27. 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 (cited: 7)  crossref  mathscinet (cited: 2)  adsnasa  isi (cited: 8)  scopus (cited: 13)
28. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Dynamics and Control of an Omniwheel Vehicle”, Regul. Chaotic Dyn., 20:2 (2015), 153–172  mathnet (cited: 11)  crossref  mathscinet (cited: 7)  zmath  adsnasa  isi (cited: 13)  scopus (cited: 14)
29. 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

   2014
30. 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
31. Alexander A. Kilin, Andrei D. Bobykin, “Control of a vehicle with omniwheels on a plane”, Nelin. Dinam., 10:4 (2014), 473–481  mathnet  elib
32. 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
33. 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

   2013
34. 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
35. Alexey V. Bolsinov, Alexander A. Kilin, Alexey O. Kazakov, “Topological monodromy in nonholonomic systems”, Nelin. Dinam., 9:2 (2013), 203–227  mathnet  elib
36. 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
37. 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 (cited: 33)  crossref  mathscinet (cited: 19)  zmath  isi (cited: 37)
38. 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 (cited: 2)  crossref  mathscinet (cited: 2)  zmath  isi (cited: 11)
39. Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The Problem of Drift and Recurrence for the Rolling Chaplygin Ball”, Regul. Chaotic Dyn., 18:6 (2013), 832–859  mathnet (cited: 29)  crossref  mathscinet (cited: 20)  zmath  isi (cited: 29)

   2012
40. 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
41. 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
42. 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
43. 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

   2011
44. 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
45. 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

   2010
46. 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
47. 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
48. 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
49. 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

   2009
50. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462  mathnet  elib
51. A. A. Kilin, “The Jacobi problem on a plane”, Nelin. Dinam., 5:1 (2009), 83–86  mathnet  elib
52. 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
53. A. A. Kilin, “Numerical simulation of multiparticle systems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 3, 135–146  mathnet
54. 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

   2008
55. 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
56. A. A. Kilin, “Optimal programming of the rigid body dynamics problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3, 126–135  mathnet
57. 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

   2007
58. 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

   2006
59. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On a nonholonomic dynamical problem”, Math. Notes, 79:5 (2006), 734–740  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
60. 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
61. A. A. Kilin, “New integral in nonholonomic Painlevé–Chaplygin problem”, Nelin. Dinam., 2:2 (2006), 193–198  mathnet  elib

   2005
62. 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
63. 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
64. 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

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