Bibikov Yurii Nikolaevich

Publications in Math-Net.Ru

1. Normal form and stability of the zero solution of a second-order periodic invertible ode with a small parameter
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:4 (2024),  684–692
2. Periodic perturbations of oscillators on the plane
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:1 (2024),  38–47
3. On the stability of the zero solution of a periodic reversible second-order differential equation
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:3 (2022),  474–479
4. On the stability of "nonlinear center" under quasiperiodic perturbations
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:2 (2020),  269–276
5. On the Stability of the Equilibrium Position of an Oscillator under Periodic Perturbations
   
   Mat. Zametki, 95:6 (2014),  947–950
6. On Stability in Hamiltonian Systems with Two Degrees of Freedom
   
   Mat. Zametki, 95:2 (2014),  202–208
7. Invariant tori of the Duffing equation
   
   Differ. Uravn., 42:8 (2006),  1011–1016
8. Stability of Zero Solutions of Essentially Nonlinear One-Degree-of-Freedom Hamiltonian and Reversible Systems
   
   Differ. Uravn., 38:5 (2002),  579–584
9. Bifurcation of an equilibrium for a system of differential equations in the critical case of two pure imaginary and two zero roots of the characteristic equation: I
   
   Differ. Uravn., 36:1 (2000),  26–32
10. Stability and bifurcation under periodic perturbations of the equilibrium position of an oscillator with an infinitely large or infinitely small oscillation frequency
    
    Mat. Zametki, 65:3 (1999),  323–335
11. Bifurcation of the generation of invariant tori with infinitesimal frequency
    
    Algebra i Analiz, 10:2 (1998),  81–92
12. On the stability of the equilibrium state in a case of periodic perturbation of the center
    
    Differ. Uravn., 33:5 (1997),  583–586
13. Conservation and bifurcation of an invariant torus of a vector field
    
    Mat. Zametki, 61:1 (1997),  34–44
14. Quasiperiodic perturbations of an oscillator with a cubic restorative force
    
    Differ. Uravn., 32:12 (1996),  1593–1598
15. Bifurcation of a stable invariant torus from an equilibrium
    
    Mat. Zametki, 48:1 (1990),  15–19
16. Bifurcation of stable invariant tori from invariant tori of smaller dimensions
    
    Differ. Uravn., 19:2 (1983),  354–357
17. Quasiperiodic solutions of two-dimensional periodic systems of differential equations of neutral type depending on a small parameter
    
    Differ. Uravn., 18:11 (1982),  1980–1982
18. Bifurcations of Hopf type for quasiperiodic motions
    
    Differ. Uravn., 16:9 (1980),  1539–1544
19. Representation of quasi-periodic motions near the equilibrium state with the aid of convergent power series
    
    Differ. Uravn., 14:11 (1978),  2065–2067
20. An application of a theorem of Moser to the investigation of differential equations of nonlinear oscillations
    
    Dokl. Akad. Nauk SSSR, 225:6 (1975),  1241–1244
21. A sharpening of a theorem of Moser
    
    Dokl. Akad. Nauk SSSR, 213:4 (1973),  766–769
22. A certain critical case in the theory of stability of motion
    
    Differ. Uravn., 9:12 (1973),  2123–2135
23. The reducibility of a system of two differential equations to normal form
    
    Differ. Uravn., 7:10 (1971),  1899–1902
24. The existence of conditionally periodic solutions of systems of differential equations
    
    Differ. Uravn., 7:8 (1971),  1347–1356
25. The stability of periodic motions in the transcendental case of two pure imaginary characteristic exponents
    
    Dokl. Akad. Nauk SSSR, 190:3 (1970),  506–509
26. The stability of periodic motions in transcendental critical cases
    
    Differ. Uravn., 6:11 (1970),  1927–1945
27. The existence of invariant tori in the neighborhodd of a state of equilbrium of a system of differential equations
    
    Dokl. Akad. Nauk SSSR, 185:1 (1969),  9–12
28. The convergence of solutions of the Cartwright–Littlewood equation
    
    Dokl. Akad. Nauk SSSR, 178:4 (1968),  763–766
29. The existence of invariant tori in the neighborhood of the zero solution of a system of ordinary differential equations
    
    Differ. Uravn., 3:11 (1967),  1864–1881
30. Stability in the large of solutions of systems of second order differential equations
    
    Differ. Uravn., 2:10 (1966),  1279–1288


31. Nikolai Alekseevich Izobov (A tribute in honor of his 70th birthday)
    
    Differ. Uravn., 46:1 (2010),  3–8
32. Viktor Aleksandrovich Pliss (A tribute in honor of his seventieth birthday)
    
    Differ. Uravn., 38:2 (2002),  147–154