Sibirskii Konstantin Sergeevich

Publications in Math-Net.Ru

1. The problem of the center “in the large” for a general quadratic system
   
   Dokl. Akad. Nauk SSSR, 311:4 (1990),  777–780
2. Solution of a problem of the center “in the large” for a general quadratic differential system
   
   Differ. Uravn., 25:11 (1989),  1856–1862
3. Quadratic zero-systems of differential equations
   
   Differ. Uravn., 25:6 (1989),  1056–1058
4. Coefficient conditions for a center in the sense of Dulac for a differential system with one zero characteristic root and cubic right-hand sides
   
   Dokl. Akad. Nauk SSSR, 303:4 (1988),  799–803
5. Centro-affine invariant conditions for the existence of a center of a differential system with cubic nonlinearities
   
   Dokl. Akad. Nauk SSSR, 301:6 (1988),  1297–1301
6. Coefficient conditions for the center in the sense of Dulac of a differential system with a zero characteristic root and homogeneous nonlinearities
   
   Differ. Uravn., 23:12 (1987),  2171–2173
7. Conditions for the existence of a homogeneous linear partial integral of a differential system
   
   Differ. Uravn., 23:8 (1987),  1324–1331
8. Focal cyclicity of critical points of a differential system
   
   Differ. Uravn., 22:9 (1986),  1539–1545
9. Conditions for the presence of a simple saddle-center of an autonomous two-dimensional differential system
   
   Differ. Uravn., 22:8 (1986),  1456–1458
10. Centroaffine invariant center conditions in the sense of Dulac for a quadratic differential system
    
    Differ. Uravn., 22:6 (1986),  954–961
11. Centroaffine invariant center and simple saddle-center conditions for a quadratic differential system
    
    Dokl. Akad. Nauk SSSR, 285:4 (1985),  819–823
12. Integrals of a system with homogeneous nonlinearities of the third degree in cases of a center
    
    Differ. Uravn., 20:8 (1984),  1360–1365
13. An integral of Malkin type and new cases of the center of a fractionally-cubic differential equation
    
    Differ. Uravn., 20:4 (1984),  555–562
14. Integrals of a general quadratic differential system in cases of the center
    
    Differ. Uravn., 18:5 (1982),  786–792
15. Syzygies between centroaffine invariants of a quadratic differential system
    
    Differ. Uravn., 17:2 (1981),  210–219
16. Conditions for two centers for a quadratic differential system
    
    Differ. Uravn., 14:9 (1978),  1589–1593
17. Affine classification of a system with quadratic nonlinearities and not single valued canonical form
    
    Differ. Uravn., 14:6 (1978),  1028–1033
18. Semi-dynamical systems on the line
    
    Differ. Uravn., 13:12 (1977),  2207–2212
19. Geometric classification of a quadratic differential system
    
    Differ. Uravn., 13:5 (1977),  803–814
20. Algebraic invariants of multidimensional differential systems
    
    Differ. Uravn., 12:2 (1976),  281–291
21. Poisson stability in dispersive dynamical systems
    
    Differ. Uravn., 11:8 (1975),  1416–1426
22. Affine classification of a quadratic system
    
    Differ. Uravn., 10:12 (1974),  2111–2124
23. On the theory of discontinuous dispersive dynamical systems
    
    Dokl. Akad. Nauk SSSR, 211:6 (1973),  1302–1305
24. Classification of Poisson stable points in dispersive dynamical systems
    
    Dokl. Akad. Nauk SSSR, 209:4 (1973),  801–804
25. On the problem of the center for systems with discontinuous right-hand sides
    
    Differ. Uravn., 9:10 (1973),  1817–1825
26. Affine invariants of a system with quadratic nonlinearities
    
    Differ. Uravn., 9:8 (1973),  1371–1382
27. The problem of an algebraic integral in the case of the center
    
    Differ. Uravn., 8:12 (1972),  2211–2214
28. On some questions of the existence of the center
    
    Differ. Uravn., 4:11 (1968),  1931–1938
29. A minimal polynomial basis of unitary invariants of a square matrix of the third order
    
    Mat. Zametki, 3:3 (1968),  291–295
30. Algebraic invariants of a system of matrices
    
    Sibirsk. Mat. Zh., 9:1 (1968),  152–164
31. Unitary and orthogonal invariants of matrices
    
    Dokl. Akad. Nauk SSSR, 172:1 (1967),  40–43
32. Dynamical systems close to Hamiltonian ones
    
    Differ. Uravn., 3:12 (1967),  2177–2178
33. Invariants of linear representations of the rotation group of the plane and their applications in the qualitative theory of differential equations
    
    Differ. Uravn., 2:7 (1966),  908–918
34. Invariants of linear representations of the rotation group of the plane and their applications in the qualitative theory of differential equations
    
    Differ. Uravn., 2:6 (1966),  736–751
35. On the number of limit cycles arising from a singular point of focus or center type
    
    Dokl. Akad. Nauk SSSR, 161:2 (1965),  304–307
36. Conditions for a center in the case of homogeneous nonlinearities of third degree
    
    Differ. Uravn., 1:11 (1965),  1482–1487
37. On conditions for a center
    
    Differ. Uravn., 1:2 (1965),  176–181
38. On the number of limit cycles in the neighborhood of a singular point
    
    Differ. Uravn., 1:1 (1965),  53–66
39. Invariants of linear representations of the rotation group of the plane and the problem of the center
    
    Dokl. Akad. Nauk SSSR, 151:3 (1963),  497–500
40. Uniform approximation of points of dynamical limit sets and motions in them
    
    Dokl. Akad. Nauk SSSR, 146:2 (1962),  307–309


41. Yuriǐ Stanislavovich Bogdanov
    
    Differ. Uravn., 24:6 (1988),  1091–1097
42. Пятая всесоюзная конференция по качественной теории дифференциальных уравнений
    
    Differ. Uravn., 16:2 (1980),  377–378
43. Isaak Samoǐlovič Kukles
    
    Differ. Uravn., 13:12 (1977),  2284–2287
44. Boris Pavlovič Demidovič
    
    Differ. Uravn., 13:12 (1977),  2280–2283
45. Поправки к статье “Инварианты линейных представлений группы вращений плоскости и проблема центра” (ДАН, т. 151, № 3, 1963 г.)
    
    Dokl. Akad. Nauk SSSR, 158:1 (1964),  8
46. Поправки к статье “Инварианты линейных представлений группы вращений плоскости и проблема центра” (ДАН, т. 151, № 3, 1963 г.)
    
    Dokl. Akad. Nauk SSSR, 156:2 (1964),  238
47. School Mathematical Competition in Kishinev
    
    Uspekhi Mat. Nauk, 9:3(61) (1954),  263–265