Kuleshov Alexander Sergeevich

Publications in Math-Net.Ru

1. Stability of regular precessions of a body with a fixed point bounded by the ellipsoid of revolution in a flow of particles
   
   Avtomat. i Telemekh., 2024, no. 9,  59–76
2. The transgression effect in the problem of a ball rolling in a hole
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:3 (2024),  549–556
3. Integrability by quadratures of the problem of rolling motion of a heavy homogeneous ball on a surface of revolution of the second order
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:2 (2024),  347–353
4. Necessary conditions for existence of an additional integral in the problem on motion of a solid body with a fixed point in the flow of particles bounded by an ellipsoid revolution surface
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 2,  40–46
5. Transgression effect in the problem of motion of a rod on a cylinder
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:3 (2023),  568–580
6. Nonintegrability of the Problem of the Motion of an Ellipsoidal Body with a Fixed Point in a Flow of Particles
   
   Rus. J. Nonlin. Dyn., 18:4 (2022),  629–637
7. On the motion of a rigid body with a fixed point in a flow of particles
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3,  58–68
8. The problem of motion of a rigid body with a fixed point in a flow of particles
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:3 (2022),  550–560
9. Analytical research of the hopf bifurcation in the problem of motion of the rattleback
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:2 (2022),  305–316
10. Application of the Kovacic algorithm to the study of the motion of a heavy rigid body with a fixed point in the Hess case
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 202 (2021),  10–42
11. Liouvillian solutions in the problem of rolling of a heavy homogeneous ball on a surface of revolution
    
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:4 (2021),  653–660
12. The transgression effect in the problem of motion of an almost holonomic pendulum
    
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:2 (2020),  356–361
13. Geometric Constraints in the Problem of Motion of a Two-Wheeled Ripstik Skateboard
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148 (2018),  20–24
14. Investigation of the Motion of a Heavy Body of Revolution on a Perfectly Rough Plane by the Kovacic Algorithm
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 145 (2018),  3–85
15. The Routh theorem for mechanical systems with unknown first integrals
    
    Theor. Appl. Mech., 44:2 (2017),  169–180
16. Horizontal motion of a body consisting of two symmetric plates
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 2,  36–41
17. On the Motion of Chaplygin’s Sledge over Convex Surface
    
    Avtomat. i Telemekh., 2013, no. 8,  80–90
18. Motion of the oloid on the horizontal plane
    
    Nelin. Dinam., 7:4 (2011),  825–835
19. A rigid cylinder on a viscoelastic plane
    
    Nelin. Dinam., 7:3 (2011),  601–625
20. Nonlinear dynamics of a skateboard model with three degrees of freedom
    
    Nelin. Dinam., 4:3 (2008),  341–356
21. Nonlinear dynamics of a simplified skateboard model
    
    Nelin. Dinam., 4:3 (2008),  323–340
22. Further Development of the Mathematical Model of a Snakeboard
    
    Regul. Chaotic Dyn., 12:3 (2007),  321–334
23. Mathematical model of the snakeboard
    
    Mat. Model., 18:5 (2006),  37–48
24. On the first integrals of equations of motion of a symmetric gyrostat on a perfectly rough plane
    
    Keldysh Institute preprints, 2003, 047, 24 pp.
25. On invariant manifolds of linear integrals of mechanic systems
    
    Keldysh Institute preprints, 2003, 015, 20 pp.
26. On the first integrals of equation of motion of a heavy rotational symmetric body on a perfectly rough plane
    
    Keldysh Institute preprints, 2002, 068
27. On the Generalized Chaplygin Integral
    
    Regul. Chaotic Dyn., 6:2 (2001),  227–232
28. On the Jellett–Chaplygin integral
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 2,  54–56


29. Steady Motions of Nonholonomic Systems
    
    Regul. Chaotic Dyn., 7:1 (2002),  81–117