Amel'kin Vladimir Vasil'evich

Publications in Math-Net.Ru

1. Isochronous centers and foci of two-dimensional holomorphic differential systems
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 11,  3–11
2. On the continuability of solutions of autonomous differential systems
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 11,  15–28
3. Extendability of solutions of autonomous polynomial differential systems
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 2,  10–21
4. Strong isochronicity of the Lienard system
   
   Differ. Uravn., 42:5 (2006),  579–582
5. Isochronous and strongly isochronous oscillations of two-dimensional monodromic holomorphic dynamical systems
   
   Differ. Uravn., 42:2 (2006),  147–152
6. Strong isochronous Newton's systems with quadratic with respect to speed power function
   
   Tr. Inst. Mat., 14:1 (2006),  30–35
7. Strong isochronism of polynomial differential systems with a center
   
   Differ. Uravn., 35:7 (1999),  867–873
8. A criterion for the stability of multiple limit cycles
   
   Differ. Uravn., 35:1 (1999),  3–7
9. On conditions for the existence of limit cycles in two-dimensional autonomous systems of differential equations
   
   Differ. Uravn., 31:12 (1995),  2070–2072
10. Strong isochronism of the center of dynamical systems with incomplete polynomials of the third degree
    
    Differ. Uravn., 29:6 (1993),  1057–1060
11. Strong isochronism of the center of dynamical systems with second-degree polynomials
    
    Differ. Uravn., 29:5 (1993),  739–743
12. On some properties of divergent limit cycles
    
    Differ. Uravn., 27:11 (1991),  1975–1976
13. Differential systems with common trajectories
    
    Differ. Uravn., 27:10 (1991),  1813–1814
14. Classification of limit cycles
    
    Differ. Uravn., 27:8 (1991),  1291–1296
15. Existence of limit cycles of two-dimensional autonomous systems of differential equations
    
    Differ. Uravn., 24:12 (1988),  2027–2032
16. Periodic solutions of the Liénard equation
    
    Differ. Uravn., 24:10 (1988),  1659–1662
17. The existence of several periodic solutions to equations of Liénard type
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 3,  3–5
18. Transformation theory of holomorphic differential equations
    
    Differ. Uravn., 20:3 (1984),  523–525
19. Isochrony in cases of a center and a structurally unstable focus
    
    Differ. Uravn., 18:6 (1982),  1073–1075
20. Superharmonic oscillations of totally integrable linear systems
    
    Differ. Uravn., 16:11 (1980),  2089–2091
21. Reducible completely integrable systems
    
    Differ. Uravn., 14:3 (1978),  540–542
22. On the question of the isochronism of the center of two-dimensional analytic differential systems
    
    Differ. Uravn., 13:6 (1977),  971–980
23. Periodic solutions of certain second order equations
    
    Differ. Uravn., 12:7 (1976),  1147–1150
24. Periodic solutions under steadily acting perturbations
    
    Differ. Uravn., 11:12 (1975),  2115–2120
25. The periodic solutions of second order systems
    
    Differ. Uravn., 10:9 (1974),  1560–1564
26. Tests for the existence of the center, and its isochronism
    
    Differ. Uravn., 10:4 (1974),  585–590
27. Some properties of the solutions of a certain second order equation
    
    Differ. Uravn., 7:12 (1971),  2131–2135
28. The periods of the solutions of certain autonomous systems
    
    Differ. Uravn., 6:12 (1970),  2115–2120
29. The periodic solutions of a certain nonautonomous system
    
    Differ. Uravn., 5:11 (1969),  2085–2086
30. The periodic solutions of a certain class of nonlinear systems
    
    Differ. Uravn., 5:2 (1969),  385–388
31. The periodic solutions of a certain system with a small parameter
    
    Differ. Uravn., 4:9 (1968),  1720–1723
32. The behavior of the integral curves of a certain system of two differential equations
    
    Differ. Uravn., 4:6 (1968),  1035–1042


33. Aleksandr Andreevich Shestakov (A tribute in honor of his ninetieth birthday)
    
    Differ. Uravn., 46:1 (2010),  9–15
34. Letter to the editors: “On the question of the isochrony of the center of two-dimensional analytic differential systems” (Differencial'nye Uravnenija 13 (1977), no. 6, 971–980)
    
    Differ. Uravn., 13:8 (1977),  1537