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Черкас, Леонид А

Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 43

Number of views:
This page:260
Abstract pages:3482
Full texts:1799
References:51
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Publications in Math-Net.Ru
2006
1. L. A. Cherkas, A. A. Grin', “Spline approximations in the problem of estimating the number of limit cycles of autonomous systems on the plane”, Differ. Uravn., 42:2 (2006),  213–220  mathnet  mathscinet; Differ. Equ., 42:2 (2006), 229–236
2005
2. L. A. Cherkas, I. L. Shevtsov, “On the Coppel Problem for Quadratic Systems with a Fine Focus”, Differ. Uravn., 41:8 (2005),  1100–1104  mathnet  mathscinet; Differ. Equ., 41:8 (2005), 1155–1159
3. A. A. Grin', L. A. Cherkas, “Extrema of the Andronov–Hopf function of a polynomial Lienard system”, Differ. Uravn., 41:1 (2005),  50–60  mathnet  mathscinet; Differ. Equ., 41:1 (2005), 50–60
2004
4. L. A. Cherkas, I. L. Shevtsov, “Normal-Size Limit Cycles of Quadratic Systems with a Structurally Unstable Focus”, Differ. Uravn., 40:8 (2004),  1076–1084  mathnet  mathscinet; Differ. Equ., 40:8 (2004), 1139–1148
2003
5. Leonid A. Cherkas, Joan C. Artés, Jaume Llibre, “Quadratic systems with limit cycles of normal size”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, 1,  31–46  mathnet  mathscinet  zmath
6. L. A. Cherkas, “An Estimate of the Number of Limit Cycles via Critical Points of Conditional Extremum”, Differ. Uravn., 39:10 (2003),  1334–1342  mathnet  mathscinet; Differ. Equ., 39:10 (2003), 1404–1413
7. L. A. Cherkas, “A Precise Estimate of the Number of Limit Cycles of Autonomous Systems on the Plane”, Differ. Uravn., 39:6 (2003),  759–768  mathnet  mathscinet; Differ. Equ., 39:6 (2003), 797–806
2002
8. S. I. Dovnar, L. A. Cherkas, “Curves of Separatrix Cycles of a Quadratic System. The Case of Three Antisaddles and One Saddle”, Differ. Uravn., 38:3 (2002),  313–318  mathnet  mathscinet; Differ. Equ., 38:3 (2002), 326–331
2001
9. L. A. Cherkas, I. S. Shchukina, “A Special Dulac Function for a Quadratic System on the Plane”, Differ. Uravn., 37:4 (2001),  481–487  mathnet  mathscinet; Differ. Equ., 37:4 (2001), 510–516
10. L. A. Cherkas, A. A. Grin', “Algebraic Aspects of Finding a Dulac Function for Polynomial Autonomous Systems on the Plane”, Differ. Uravn., 37:3 (2001),  384–390  mathnet  mathscinet; Differ. Equ., 37:3 (2001), 411–417
1998
11. L. A. Cherkas, A. A. Grin', “A Dulac function in a half-plane in the form of a polynomial of the second degree for a quadratic system”, Differ. Uravn., 34:10 (1998),  1346–1348  mathnet  mathscinet; Differ. Equ., 34:10 (1998), 1346–1348
1997
12. L. A. Cherkas, A. A. Grin', “A second-degree polynomial Dulac function for a cubic system on the plane”, Differ. Uravn., 33:10 (1997),  1435–1436  mathnet  mathscinet; Differ. Equ., 33:10 (1997), 1443–1445
13. L. A. Cherkas, “The Dulac function for polynomial autonomous systems on a plane”, Differ. Uravn., 33:5 (1997),  689–699  mathnet  mathscinet; Differ. Equ., 33:5 (1997), 692–701
1996
14. S. I. Dovnar, L. A. Cherkas, “The curve of separatrix cycles of an autonomous quadratic system in the plane. The case of two anti-saddles”, Differ. Uravn., 32:1 (1996),  15–21  mathnet  mathscinet; Differ. Equ., 32:1 (1996), 15–21
1987
15. L. A. Cherkas, V. A. Gaĭko, “Bifurcations of limit cycles of a quadratic system with two singular points and two parameters that rotate the field”, Differ. Uravn., 23:9 (1987),  1544–1553  mathnet  mathscinet  zmath
16. L. A. Cherkas, “Limit cycles of autonomous systems with phase space $\mathbf C^2$”, Differ. Uravn., 23:5 (1987),  848–851  mathnet  mathscinet
17. L. A. Cherkas, I. S. Shchukina, “On series expansion of an Andronov–Hopf manifold of a quadratic system in the plane”, Differ. Uravn., 23:2 (1987),  278–282  mathnet  mathscinet
1986
18. L. A. Cherkas, “Absence of limit cycles around a triple focus in a quadratic system in a plane”, Differ. Uravn., 22:11 (1986),  2015–2017  mathnet  mathscinet  zmath
1982
19. L. A. Cherkas, “On the question of the analyticity of a manifold that defines limit cycles”, Differ. Uravn., 18:5 (1982),  839–845  mathnet  mathscinet
1981
20. L. A. Cherkas, “Bifurcations of limit cycles of a quadratic system with a change of parameter which rotates the field”, Differ. Uravn., 17:11 (1981),  2002–2016  mathnet  mathscinet
21. L. A. Cherkas, “Two remarks with respect to conditions for a center”, Differ. Uravn., 17:9 (1981),  1709–1712  mathnet  mathscinet  zmath
22. L. A. Cherkas, “Structure of the sequence function in the neighborhood of a separatrix cycle during perturbation of an analytic autonomous system on the plane”, Differ. Uravn., 17:3 (1981),  469–478  mathnet  mathscinet
1978
23. L. A. Cherkas, “Conditions for a center for the equation $yy'=\sum_{i=0}^3 p_i(x)y^i$”, Differ. Uravn., 14:9 (1978),  1594–1600  mathnet  mathscinet  zmath
1977
24. L. A. Cherkas, “Methods for estimating the number of limit cycles of autonomous systems”, Differ. Uravn., 13:5 (1977),  779–802  mathnet  mathscinet  zmath
25. L. A. Cherkas, “Conditions for the center for a certain equation”, Differ. Uravn., 13:2 (1977),  271–275  mathnet  mathscinet  zmath
1976
26. L. A. Cherkas, “Absence of cycles in the equation $y'=Q_2(x,y)/P_2(x,y)$, with a focus of third degree of structural instability”, Differ. Uravn., 12:12 (1976),  2281–2282  mathnet  mathscinet  zmath
27. L. A. Cherkas, G. M. Buldyk, “Integral curves of a certain class of differential equations that have a center”, Differ. Uravn., 12:11 (1976),  2102–2104  mathnet  mathscinet  zmath
28. L. A. Cherkas, “The number of limit cycles of a certain second order autonumous system”, Differ. Uravn., 12:5 (1976),  944–946  mathnet  mathscinet  zmath
29. L. A. Cherkas, “Conditions for a center for a certain Liénard equation”, Differ. Uravn., 12:2 (1976),  292–298  mathnet  mathscinet  zmath
1975
30. L. A. Cherkas, “Conditions for a center for equations $y'=(Q_1+Q_n)/(P_1+P_n)$”, Differ. Uravn., 11:12 (1975),  2177–2182  mathnet  mathscinet  zmath
1974
31. L. A. Cherkas, L. I. Zhilevich, “Über Grenzzyklen einer quadratischen Differentialgleichung”, Differ. Uravn., 10:5 (1974),  947–949  mathnet  zmath
32. L. A. Cherkas, “Conditions for a center for the equation $P_3(x)yy'=\sum_{i=0}^2P_i(x)y^i$”, Differ. Uravn., 10:2 (1974),  367–368  mathnet  mathscinet  zmath
1973
33. L. A. Cherkas, “The cycles of the equation $y'=Q_2(x,y)/P_2(x,y)$”, Differ. Uravn., 9:8 (1973),  1432–1437  mathnet  mathscinet
1972
34. L. A. Cherkas, L. I. Zhilevich, “The absence of limit cycles of a certain differential equation”, Differ. Uravn., 8:12 (1972),  2271–2273  mathnet  mathscinet
35. L. A. Cherkas, “Conditions for the center for certain equations of the form $yy'=P(x)+Q(x)y+R(x)y^2$”, Differ. Uravn., 8:8 (1972),  1435–1439  mathnet  mathscinet
36. L. A. Cherkas, L. I. Zhilevich, “The limit cycles of certain differential equations”, Differ. Uravn., 8:7 (1972),  1207–1213  mathnet  mathscinet  zmath
1970
37. L. A. Cherkas, L. I. Zhilevich, “Some tests for the absence or uniqueness of limit cycles”, Differ. Uravn., 6:7 (1970),  1170–1178  mathnet  mathscinet  zmath
38. L. A. Cherkas, “The absence of limit cycles for a certain differential equation that has a structurally unstable focus”, Differ. Uravn., 6:5 (1970),  779–783  mathnet  mathscinet  zmath
1968
39. L. A. Cherkas, “The singular cycles of the equation $\frac{dy}{dx}=\frac{P(x,y)}{xy}$, where $P(x,y)$, is a second degree polynomial”, Differ. Uravn., 4:12 (1968),  2281–2285  mathnet  mathscinet  zmath
40. L. A. Cherkas, “The stability of singular cycles”, Differ. Uravn., 4:6 (1968),  1012–1017  mathnet  mathscinet  zmath
1967
41. L. A. Cherkas, “Stability of a singular cycle in the critical case”, Differ. Uravn., 3:7 (1967),  1060–1069  mathnet  mathscinet  zmath
42. L. A. Cherkas, “Perturbations of a differential equation”, Differ. Uravn., 3:5 (1967),  781–786  mathnet  mathscinet  zmath
1965
43. L. A. Cherkas, “On complex cycles for a certain differential equation”, Differ. Uravn., 1:2 (1965),  182–186  mathnet  mathscinet

1997
44. A. F. Andreev, I. V. Gaishun, V. I. Gromak, N. A. Izobov, V. A. Il'in, I. T. Kiguradze, N. N. Krasovskii, L. D. Kudryavtsev, N. A. Lukashevich, I. P. Martynov, V. A. Pliss, L. A. Cherkas, T. K. Shemjakina, “Nikolaǐ Pavlovich Erugin (on the ninetieth anniversary of his birth)”, Differ. Uravn., 33:5 (1997),  579–582  mathnet  mathscinet; Differ. Equ., 33:5 (1997), 583–586
1990
45. A. F. Andreev, V. A. Andrunakievich, N. I. Vulpe, È. I. Grudo, V. M. Millionshchikov, L. A. Cherkas, B. A. Shcherbakov, “Konstantin Sergeevich Sibirskiǐ”, Differ. Uravn., 26:6 (1990),  1098–1100  mathnet  mathscinet  zmath; Differ. Equ., 26:6 (1990), 800–802

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