Markeev Anatoli Pavlovich

Publications in Math-Net.Ru

1. Normal Form of the Equations of Perturbed Motion near Triangular Libration Points at Third-Order Resonances
   
   Regul. Chaotic Dyn., 30:5 (2025),  837–846
2. On Oscillations in a Neighborhood of Lagrangian Libration Points in One Resonance Case
   
   Regul. Chaotic Dyn., 30:4 (2025),  666–676
3. On Vibrations of a Heavy Material Point in a Fixed Ellipsoidal Bowl
   
   Rus. J. Nonlin. Dyn., 20:4 (2024),  449–461
4. On a Change of Variables in Lagrange’s Equations
   
   Rus. J. Nonlin. Dyn., 18:4 (2022),  473–480
5. On the Stability of Exact Subharmonic Solutions of the Duffing Equation
   
   Regul. Chaotic Dyn., 27:6 (2022),  668–679
6. On the Dynamics of a Gravitational Dipole
   
   Rus. J. Nonlin. Dyn., 17:3 (2021),  247–261
7. On the Metric Stability and the Nekhoroshev Estimate of the Velocity of Arnold Diffusion in a Special Case of the Three-body Problem
   
   Regul. Chaotic Dyn., 26:4 (2021),  321–330
8. On Nonlinear Oscillations and Stability of Coupled Pendulums in the Case of a Multiple Resonance
   
   Rus. J. Nonlin. Dyn., 16:4 (2020),  607–623
9. On Periodic Poincaré Motions in the Case of Degeneracy of an Unperturbed System
   
   Regul. Chaotic Dyn., 25:1 (2020),  111–120
10. On normal coordinates in the vicinity of the Lagrangian libration points of the restricted elliptic three-body problem
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:4 (2020),  657–671
11. On the Stability of the Regular Precession of an Asymmetric Gyroscope at a Second-order Resonance
    
    Regul. Chaotic Dyn., 24:5 (2019),  502–510
12. On periodic motions of a rigid body suspended on a thread in a uniform gravity field
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:2 (2019),  245–260
13. On Nonlinear Resonant Oscillations of a Rigid Body Generated by Its Conical Precession
    
    Nelin. Dinam., 14:4 (2018),  503–518
14. On the dynamics of a pendulum mounted on a movable platform
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:2 (2018),  240–251
15. On stability of motion of the Maxwell pendulum
    
    Nelin. Dinam., 13:2 (2017),  207–226
16. On the Stability of Periodic Motions of an Autonomous Hamiltonian System in a Critical Case of the Fourth-order Resonance
    
    Regul. Chaotic Dyn., 22:7 (2017),  773–781
17. On the stability of the two-link trajectory of the parabolic Birkhoff billiards
    
    Nelin. Dinam., 12:1 (2016),  75–90
18. On the stability of periodic trajectories of a planar Birkhoff billiard
    
    Trudy Mat. Inst. Steklova, 295 (2016),  206–217
19. On stability of permanent rotation of a disk that collides with an horizontal plane
    
    Nelin. Dinam., 11:4 (2015),  685–707
20. On the fixed points stability for the area-preserving maps
    
    Nelin. Dinam., 11:3 (2015),  503–545
21. On the Birkhoff Transformation in the Case of Complete Degeneracy of the Quadratic Part of the Hamiltonian
    
    Regul. Chaotic Dyn., 20:3 (2015),  309–316
22. Simplifying the structure of the third and fourth degree forms in the expansion of the Hamiltonian with a linear transformation
    
    Nelin. Dinam., 10:4 (2014),  447–464
23. A motion of connected pendulums
    
    Nelin. Dinam., 9:1 (2013),  27–38
24. On the dynamics of a rigid body carrying a material point
    
    Nelin. Dinam., 8:2 (2012),  219–229
25. On a periodic motion of a rigid body carrying a material point in the presence of impacts with a horizontal plane
    
    Nelin. Dinam., 8:1 (2012),  71–81
26. On the Dynamics of a Rigid Body Carrying a Material Point
    
    Regul. Chaotic Dyn., 17:3-4 (2012),  234–242
27. On a Periodic Motion of a Rigid Body Carrying a Material Point in the Presence of Impacts with a Horizontal Plane
    
    Regul. Chaotic Dyn., 17:2 (2012),  142–149
28. On nonlinear Meissners equation
    
    Nelin. Dinam., 7:3 (2011),  531–547
29. Nonlinear oscillations of sympathetic pendulums
    
    Nelin. Dinam., 6:3 (2010),  605–622
30. To the theory of resonant rotation of the Mercury
    
    Nelin. Dinam., 5:1 (2009),  87–98
31. Dynamics of a rigid body that collides with a rigid surface
    
    Nelin. Dinam., 4:1 (2008),  1–38
32. The Dynamics of a Rigid Body Colliding with a Rigid Surface
    
    Regul. Chaotic Dyn., 13:2 (2008),  96–129
33. On the Steklov case in rigid body dynamics
    
    Regul. Chaotic Dyn., 10:1 (2005),  81–93
34. On stability of regular precessions of a non-symmetric gyroscope
    
    Regul. Chaotic Dyn., 8:3 (2003),  297–304
35. On the dynamics of a solid on an absolutely rough plane
    
    Regul. Chaotic Dyn., 7:2 (2002),  153–160
36. Integrability of the problem of rolling of a sphere with a multiply connected cavity filled with an ideal fluid
    
    Regul. Chaotic Dyn., 7:2 (2002),  149–151


37. On the Birkhoff transformation in the case of complete degeneracy of the quadratic part of the Hamiltonian
    
    Nelin. Dinam., 11:2 (2015),  343–352