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Kilin Aleksandr Aleksandrovich

Statistics Math-Net.Ru
Total publications: 52
Scientific articles: 51
in MathSciNet: 15
in zbMATH: 6
in Web of Science: 17
in Scopus: 14
Cited articles: 37
Citations in Math-Net.Ru: 215

Number of views:
This page:691
Abstract pages:7382
Full texts:1225
References:658
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
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=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

Publications in Math-Net.Ru
1. Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups
I. A. Bizyaev, A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 13:1 (2017),  129–146
2. The Rolling Motion of a Truncated Ball Without Slipping and Spinning on a Plane
Alexander A. Kilin, Elena N. Pivovarova
Regul. Chaotic Dyn., 22:3 (2017),  298–317
3. On the retrograde motion of a rolling disk
A. V. Borisov, A. A. Kilin, Yu. L. Karavaev
UFN, 187:9 (2017),  1003–1006
4. Free and controlled motion of a body with a moving internal mass through a fluid in the presence of circulation around the body
E. V. Vetchanin, A. A. Kilin
Dokl. Akad. Nauk, 466:3 (2016),  293–297
5. Control of the motion of an unbalanced heavy ellipsoid in an ideal fluid using rotors
E. V. Vetchanin, A. A. Kilin
Nelin. Dinam., 12:4 (2016),  663–674
6. On the Hadamard–Hamel problem and the dynamics of wheeled vehicles
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 12:1 (2016),  145–163
7. Influence of Vortex Structures on the Controlled Motion of an Above-water Screwless Robot
Anatolii I. Klenov, Alexander A. Kilin
Regul. Chaotic Dyn., 21:7-8 (2016),  927–938
8. Experimental Investigations of the Controlled Motion of a Screwless Underwater Robot
Yury L. Karavaev, Alexander A. Kilin, Anton V. Klekovkin
Regul. Chaotic Dyn., 21:7-8 (2016),  918–926
9. Control of the Motion of a Helical Body in a Fluid Using Rotors
Evgeny V. Vetchanin, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 21:7-8 (2016),  874–884
10. Integrability and Nonintegrability of Sub-Riemannian Geodesic Flows on Carnot Groups
Ivan A. Bizyaev, Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 21:6 (2016),  759–774
11. Controlled motion of a rigid body with internal mechanisms in an ideal incompressible fluid
E. V. Vetchanin, A. A. Kilin
Tr. Mat. Inst. Steklova, 295 (2016),  321–351
12. Nonholonomic dynamics and control of a spherical robot with an internal omniwheel platform: theory and experiments
Yu. L. Karavaev, A. A. Kilin
Tr. Mat. Inst. Steklova, 295 (2016),  174–183
13. Experimental research of dynamic of spherical robot of combined type
A. A. Kilin, Yu. L. Karavaev
Nelin. Dinam., 11:4 (2015),  721–734
14. The control of the motion through an ideal fluid of a rigid body by means of two moving masses
A. A. Kilin, E. V. Vetchanin
Nelin. Dinam., 11:4 (2015),  633–645
15. The dynamic of a spherical robot with an internal omniwheel platform
Yury L. Karavaev, Alexander A. Kilin
Nelin. Dinam., 11:1 (2015),  187–204
16. On the Hadamard–Hamel Problem and the Dynamics of Wheeled Vehicles
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 20:6 (2015),  752–766
17. Qualitative Analysis of the Dynamics of a Wheeled Vehicle
Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, Ivan A. Bizyaev
Regul. Chaotic Dyn., 20:6 (2015),  739–751
18. Spherical Robot of Combined Type: Dynamics and Control
Alexander A. Kilin, Elena N. Pivovarova, Tatyana B. Ivanova
Regul. Chaotic Dyn., 20:6 (2015),  716–728
19. Dynamics and Control of an Omniwheel Vehicle
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 20:2 (2015),  153–172
20. The Dynamics and Control of a Spherical Robot with an Internal Omniwheel Platform
Yury L. Karavaev, Alexander A. Kilin
Regul. Chaotic Dyn., 20:2 (2015),  134–152
21. Experimental determination of the added masses by method of towing
A. I. Klenov, E. V. Vetchanin, A. A. Kilin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015),  568–582
22. The kinematic control model for a spherical robot with an unbalanced internal omniwheel platform
Alexander A. Kilin, Yury L. Karavaev
Nelin. Dinam., 10:4 (2014),  497–511
23. Control of a vehicle with omniwheels on a plane
Alexander A. Kilin, Andrei D. Bobykin
Nelin. Dinam., 10:4 (2014),  473–481
24. Kinematic control of a high manoeuvrable mobile spherical robot with internal omni-wheeled platform
Alexander A. Kilin, Yury L. Karavaev, Anton V. Klekovkin
Nelin. Dinam., 10:1 (2014),  113–126
25. The problem of drift and recurrence for the rolling Chaplygin ball
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Nelin. Dinam., 9:4 (2013),  721–754
26. Topological monodromy in nonholonomic systems
Alexey V. Bolsinov, Alexander A. Kilin, Alexey O. Kazakov
Nelin. Dinam., 9:2 (2013),  203–227
27. How to control the Chaplygin ball using rotors. II
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Nelin. Dinam., 9:1 (2013),  59–76
28. The Problem of Drift and Recurrence for the Rolling Chaplygin Ball
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 18:6 (2013),  832–859
29. How to Control the Chaplygin Ball Using Rotors. II
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 18:1-2 (2013),  144–158
30. The Dynamics of Vortex Rings: Leapfrogging, Choreographies and the Stability Problem
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 18:1-2 (2013),  33–62
31. How to control the Chaplygin sphere using rotors
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 8:2 (2012),  289–307
32. The dynamics of vortex rings: Leapfrogging, choreographies and the stability problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 8:1 (2012),  113–147
33. An omni-wheel vehicle on a plane and a sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 7:4 (2011),  785–801
34. Generalized Chaplygins transformation and explicit integration of a system with a spherical support
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 7:2 (2011),  313–338
35. Rolling of a homogeneous ball over a dynamically asymmetric sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 6:4 (2010),  869–889
36. On the model of non-holonomic billiard
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 6:2 (2010),  373–385
37. Hamiltonian representation and integrability of the Suslov problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 6:1 (2010),  127–142
38. New superintegrable system on a sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 5:4 (2009),  455–462
39. The Jacobi problem on a plane
A. A. Kilin
Nelin. Dinam., 5:1 (2009),  83–86
40. Multiparticle systems. The algebra of integrals and integrable cases
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 5:1 (2009),  53–82
41. Numerical simulation of multiparticle systems
A. A. Kilin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 3,  135–146
42. Methods of high-accuracy integration and effectivity of calculus
A. A. Kilin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 1,  153–161
43. The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids
A. V. Borisov, I. S. Mamaev, A. A. Kilin
Nelin. Dinam., 4:4 (2008),  363–407
44. Optimal programming of the rigid body dynamics problems
A. A. Kilin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3,  126–135
45. Generalization of Lagrange's identity and new integrals of motion
A. A. Kilin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3,  69–74
46. A new integrable problem of motion of point vortices on the sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 3:2 (2007),  211–223
47. On a nonholonomic dynamical problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Mat. Zametki, 79:5 (2006),  790–796
48. Stability of steady rotations in the non-holonomic Routh problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 2:3 (2006),  333–345
49. New integral in nonholonomic Painlevé–Chaplygin problem
A. A. Kilin
Nelin. Dinam., 2:2 (2006),  193–198
50. Reduction and chaotic behavior of point vortices on a plane and a sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 1:2 (2005),  233–246
51. Chaos in a restricted problem of rotation of a rigid body with a fixed point
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 1:2 (2005),  191–207
52. Absolute and relative choreographies in rigid body dynamics
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 1:1 (2005),  123–141

53. Valery V. Kozlov: On the sixtieth birthday
A. V. Borisov, S. V. Bolotin, A. A. Kilin, I. S. Mamaev, D. V. Treschev
Nelin. Dinam., 6:3 (2010),  461–488

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