Sadovskii Anton Pavlovich

Publications in Math-Net.Ru

1. The radical of the focal values ideal of the complex Kukles system
   
   Journal of the Belarusian State University. Mathematics and Informatics, 2 (2017),  4–11
2. Solution of the center-focus problem for a cubic system reducible to a lienard system
   
   Differ. Uravn., 42:1 (2006),  11–22
3. Variety of the center and limit cycles of a cubic system, which is reduced to lienard form
   
   Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 3,  71–90
4. The centre-focus problem for analytical systems of Lienard form in degenerate case
   
   Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 2,  37–50
5. Cubic Systems of Nonlinear Oscillations with Seven Limit Cycles
   
   Differ. Uravn., 39:4 (2003),  472–481
6. The Center-Focus Problem for a System with Homogeneous Nonlinearities in the Case of Zero Eigenvalues of the Linear Part
   
   Differ. Uravn., 39:2 (2003),  147–153
7. Centers and Foci for a Class of Cubic Systems
   
   Differ. Uravn., 36:12 (2000),  1652–1657
8. Center conditions and limit cycles in a cubic system of differential equations
   
   Differ. Uravn., 36:1 (2000),  98–102
9. Orbital normal forms of two-dimensional analytic systems with zero linear and nonzero quadratic parts
   
   Differ. Uravn., 35:1 (1999),  51–57
10. Solution of the center and focus problem for a cubic system of nonlinear oscillations
    
    Differ. Uravn., 33:2 (1997),  236–244
11. Limit cycles of a cubic system of nonlinear oscillations
    
    Differ. Uravn., 29:2 (1993),  226–231
12. Focal values of a cubic system of nonlinear oscillations
    
    Differ. Uravn., 28:7 (1992),  1122–1127
13. Conditions for the problem of the center and focus to arise for an $A_3$-system
    
    Differ. Uravn., 26:10 (1990),  1743–1753
14. The problem of the center and focus for analytic systems with a zero linear part. II
    
    Differ. Uravn., 25:6 (1989),  950–956
15. The problem of the center and focus for analytic systems with a zero linear part. I
    
    Differ. Uravn., 25:5 (1989),  790–799
16. Necessary conditions for a center for a differential system with a complex singular point
    
    Differ. Uravn., 24:12 (1988),  2032–2042
17. Remarks on the existence of a holomorphic integral in the critical case of a double zero root
    
    Differ. Uravn., 23:2 (1987),  355–357
18. A problem of distinguishing the center and focus for a case of a complex singular point
    
    Differ. Uravn., 22:5 (1986),  789–794
19. Formal orbital normal forms of two-dimensional systems with nonzero linear part
    
    Differ. Uravn., 21:9 (1985),  1509–1516
20. Normal forms of systems of differential equations with a nonzero linear part
    
    Differ. Uravn., 18:5 (1982),  827–832
21. An elementary proof and applications of a theorem of F. Takens
    
    Differ. Uravn., 16:12 (1980),  2284–2287
22. A method for solving the problem of isochronism of the center
    
    Differ. Uravn., 16:10 (1980),  1893–1895
23. On conditions for a center and focus for nonlinear oscillation equations
    
    Differ. Uravn., 15:9 (1979),  1716–1719
24. Formal transformations and the problem of distinguishing the center and focus
    
    Differ. Uravn., 14:12 (1978),  2185–2189
25. A solution for the problem of center and focus for certain systems of non-linear oscillations
    
    Differ. Uravn., 14:2 (1978),  380–382
26. On the problem of distinguishing the center and focus for systems of nonlinear oscillations
    
    Differ. Uravn., 12:12 (1976),  2273–2274
27. The problem of distinguishing the center and a focus for systems with nonzero linear part
    
    Differ. Uravn., 12:7 (1976),  1238–1246
28. Solution of the problem of the center and focus for a Liénard system with polynomial coefficients
    
    Differ. Uravn., 11:11 (1975),  2102–2104
29. Holomorphic integrals of a certain system of differential equations
    
    Differ. Uravn., 10:3 (1974),  558–560
30. The problem of distinguishing the center and the focus
    
    Differ. Uravn., 9:4 (1973),  650–659
31. The conditions for the center of a certain system of differential equations
    
    Differ. Uravn., 7:12 (1971),  2285–2286
32. On the problem of discrimination of center and focus
    
    Differ. Uravn., 5:2 (1969),  326–330
33. The problem of center and focus
    
    Differ. Uravn., 4:11 (1968),  2002–2009
34. Stability in critical cases
    
    Differ. Uravn., 4:6 (1968),  1018–1021
35. A solution of the center and focus problem in a special case
    
    Differ. Uravn., 4:5 (1968),  943–945


36. Letter to the editors: “Orbital normal forms of two-dimensional analytic systems with zero linear and nonzero quadratic parts” [Differ. Uravn. 35 (1999), no. 1, 51–57, 141; MR1723202]
    
    Differ. Uravn., 36:11 (2000),  1580
37. “Еругинские чтения – II” (11 – 13 мая 1995 г.)
    
    Differ. Uravn., 31:7 (1995),  1267