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Publications in Math-Net.Ru |
Citations |
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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   ; Differ. Equ., 42:2 (2006), 229–236 |
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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 ; Differ. Equ., 41:8 (2005), 1155–1159 |
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| 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 ; Differ. Equ., 41:1 (2005), 50–60 |
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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 ; Differ. Equ., 40:8 (2004), 1139–1148 |
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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, no. 1, 31–46  |
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| 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 ; Differ. Equ., 39:10 (2003), 1404–1413 |
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| 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 ; Differ. Equ., 39:6 (2003), 797–806 |
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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 ; Differ. Equ., 38:3 (2002), 326–331 |
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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 ; 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 ; Differ. Equ., 37:3 (2001), 411–417 |
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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 ; Differ. Equ., 34:10 (1998), 1346–1348 |
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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 ; 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 ; Differ. Equ., 33:5 (1997), 692–701 |
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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 ; Differ. Equ., 32:1 (1996), 15–21 |
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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 |
| 16. |
L. A. Cherkas, “Limit cycles of autonomous systems with phase space $\mathbf C^2$”, Differ. Uravn., 23:5 (1987), 848–851 |
| 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 |
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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 |
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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 |
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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 |
| 21. |
L. A. Cherkas, “Two remarks with respect to conditions for a center”, Differ. Uravn., 17:9 (1981), 1709–1712 |
| 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 |
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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 |
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1977 |
| 24. |
L. A. Cherkas, “Methods for estimating the number of limit cycles of autonomous systems”, Differ. Uravn., 13:5 (1977), 779–802 |
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| 25. |
L. A. Cherkas, “Conditions for the center for a certain equation”, Differ. Uravn., 13:2 (1977), 271–275 |
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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 |
| 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 |
| 28. |
L. A. Cherkas, “The number of limit cycles of a certain second order autonumous system”, Differ. Uravn., 12:5 (1976), 944–946 |
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| 29. |
L. A. Cherkas, “Conditions for a center for a certain Liénard equation”, Differ. Uravn., 12:2 (1976), 292–298 |
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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 |
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1974 |
| 31. |
L. A. Cherkas, L. I. Zhilevich, “Über Grenzzyklen einer quadratischen Differentialgleichung”, Differ. Uravn., 10:5 (1974), 947–949 |
| 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 |
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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 |
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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 |
| 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 |
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| 36. |
L. A. Cherkas, L. I. Zhilevich, “The limit cycles of certain differential equations”, Differ. Uravn., 8:7 (1972), 1207–1213 |
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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 |
| 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 |
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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 |
| 40. |
L. A. Cherkas, “The stability of singular cycles”, Differ. Uravn., 4:6 (1968), 1012–1017 |
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1967 |
| 41. |
L. A. Cherkas, “Stability of a singular cycle in the critical case”, Differ. Uravn., 3:7 (1967), 1060–1069 |
| 42. |
L. A. Cherkas, “Perturbations of a differential equation”, Differ. Uravn., 3:5 (1967), 781–786 |
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1965 |
| 43. |
L. A. Cherkas, “On complex cycles for a certain differential equation”, Differ. Uravn., 1:2 (1965), 182–186 |
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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 ; Differ. Equ., 33:5 (1997), 583–586 |
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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 ; Differ. Equ., 26:6 (1990), 800–802 |
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