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Amel'kin, Vladimir Vasil'evich
Statistics Math-Net.Ru
Total publications: 36
Scientific articles: 34

Number of views:
This page:1883
Abstract pages:3423
Full texts:1661
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person65963
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2026
1. V. V. Amel'kin, V. Yu. Tyshchenko, “Characterization of isochronous foci of the two-dimensional holomorphic differential systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2026, no. 8,  11–20  mathnet
2024
2. V. V. Amel'kin, V. Yu. Tyshchenko, “Isochronous centers and foci of two-dimensional holomorphic differential systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 11,  3–11  mathnet; Russian Math. (Iz. VUZ), 68:11 (2024), 1–8 1
2020
3. V. V. Amel'kin, V. Yu. Tyshchenko, “On the continuability of solutions of autonomous differential systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 11,  15–28  mathnet; Russian Math. (Iz. VUZ), 64:11 (2020), 11–22  isi  scopus
4. V. V. Amel'kin, V. Yu. Tyshchenko, “Extendability of solutions of autonomous polynomial differential systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 2,  10–21  mathnet; Russian Math. (Iz. VUZ), 64:2 (2020), 8–18  isi  scopus
2006
5. V. V. Amel'kin, “Strong isochronicity of the Lienard system”, Differ. Uravn., 42:5 (2006),  579–582  mathnet  mathscinet; Differ. Equ., 42:5 (2006), 615–618 7
6. V. V. Amel'kin, O. B. Korsantia, “Isochronous and strongly isochronous oscillations of two-dimensional monodromic holomorphic dynamical systems”, Differ. Uravn., 42:2 (2006),  147–152  mathnet  mathscinet; Differ. Equ., 42:2 (2006), 159–164 1
7. V. V. Amel'kin, O. B. Korsantia, “Strong isochronous Newton's systems with quadratic with respect to speed power function”, Tr. Inst. Mat., 14:1 (2006),  30–35  mathnet
1999
8. V. V. Amel'kin, K. M. Al-Haider, “Strong isochronism of polynomial differential systems with a center”, Differ. Uravn., 35:7 (1999),  867–873  mathnet  mathscinet; Differ. Equ., 35:7 (1999), 873–879
9. V. V. Amel'kin, A. B. Levin, “A criterion for the stability of multiple limit cycles”, Differ. Uravn., 35:1 (1999),  3–7  mathnet  mathscinet  zmath; Differ. Equ., 35:1 (1999), 1–5
1995
10. V. V. Amel'kin, “On conditions for the existence of limit cycles in two-dimensional autonomous systems of differential equations”, Differ. Uravn., 31:12 (1995),  2070–2072  mathnet  mathscinet; Differ. Equ., 31:12 (1995), 2042–2045
1993
11. V. V. Amel'kin, Z. D. Ching, “Strong isochronism of the center of dynamical systems with incomplete polynomials of the third degree”, Differ. Uravn., 29:6 (1993),  1057–1060  mathnet  mathscinet; Differ. Equ., 29:6 (1993), 912–915
12. V. V. Amel'kin, Ching Zan Dang, “Strong isochronism of the center of dynamical systems with second-degree polynomials”, Differ. Uravn., 29:5 (1993),  739–743  mathnet  mathscinet; Differ. Equ., 29:5 (1993), 629–632
1991
13. V. V. Amel'kin, “On some properties of divergent limit cycles”, Differ. Uravn., 27:11 (1991),  1975–1976  mathnet  zmath
14. V. V. Amel'kin, “Differential systems with common trajectories”, Differ. Uravn., 27:10 (1991),  1813–1814  mathnet  mathscinet  zmath
15. V. V. Amel'kin, “Classification of limit cycles”, Differ. Uravn., 27:8 (1991),  1291–1296  mathnet  mathscinet  zmath; Differ. Equ., 27:8 (1991), 899–903
1988
16. V. V. Amel'kin, “Existence of limit cycles of two-dimensional autonomous systems of differential equations”, Differ. Uravn., 24:12 (1988),  2027–2032  mathnet  mathscinet; Differ. Equ., 24:12 (1988), 1353–1357 1
17. V. V. Amel'kin, V. È. Zhavnerchik, “Periodic solutions of the Liénard equation”, Differ. Uravn., 24:10 (1988),  1659–1662  mathnet  mathscinet  zmath; Differ. Equ., 24:10 (1988), 1085–1088
1987
18. V. V. Amel'kin, V. È. Zhavnerchik, “The existence of several periodic solutions to equations of Liénard type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 3,  3–5  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:3 (1987), 1–4
1984
19. V. V. Amel'kin, V. L. Rabtsevich, “Transformation theory of holomorphic differential equations”, Differ. Uravn., 20:3 (1984),  523–525  mathnet  mathscinet  zmath
1982
20. V. V. Amel'kin, “Isochrony in cases of a center and a structurally unstable focus”, Differ. Uravn., 18:6 (1982),  1073–1075  mathnet  mathscinet  zmath 2
1980
21. V. V. Amel'kin, “Superharmonic oscillations of totally integrable linear systems”, Differ. Uravn., 16:11 (1980),  2089–2091  mathnet  mathscinet  zmath
1978
22. V. V. Amel'kin, I. V. Gaishun, L. N. Gaishun, “Reducible completely integrable systems”, Differ. Uravn., 14:3 (1978),  540–542  mathnet  mathscinet
1977
23. V. V. Amel'kin, “On the question of the isochronism of the center of two-dimensional analytic differential systems”, Differ. Uravn., 13:6 (1977),  971–980  mathnet  mathscinet  zmath
1976
24. V. V. Amel'kin, V. È. Zhavnerchik, “Periodic solutions of certain second order equations”, Differ. Uravn., 12:7 (1976),  1147–1150  mathnet  mathscinet  zmath
1975
25. V. V. Amel'kin, I. V. Gaishun, N. N. Ladis, “Periodic solutions under steadily acting perturbations”, Differ. Uravn., 11:12 (1975),  2115–2120  mathnet  mathscinet  zmath
1974
26. V. V. Amel'kin, I. V. Gaishun, “The periodic solutions of second order systems”, Differ. Uravn., 10:9 (1974),  1560–1564  mathnet  mathscinet  zmath
27. V. V. Amel'kin, N. A. Lukashevich, “Tests for the existence of the center, and its isochronism”, Differ. Uravn., 10:4 (1974),  585–590  mathnet  mathscinet  zmath
1971
28. V. V. Amel'kin, I. V. Gaishun, “Some properties of the solutions of a certain second order equation”, Differ. Uravn., 7:12 (1971),  2131–2135  mathnet  mathscinet  zmath
1970
29. V. V. Amel'kin, N. A. Lukashevich, “The periods of the solutions of certain autonomous systems”, Differ. Uravn., 6:12 (1970),  2115–2120  mathnet  mathscinet  zmath
1969
30. V. V. Amel'kin, “The periodic solutions of a certain nonautonomous system”, Differ. Uravn., 5:11 (1969),  2085–2086  mathnet  mathscinet  zmath
31. V. V. Amel'kin, “The periodic solutions of a certain class of nonlinear systems”, Differ. Uravn., 5:2 (1969),  385–388  mathnet  mathscinet  zmath
1968
32. V. V. Amel'kin, “The periodic solutions of a certain system with a small parameter”, Differ. Uravn., 4:9 (1968),  1720–1723  mathnet  mathscinet  zmath
33. V. V. Amel'kin, “The behavior of the integral curves of a certain system of two differential equations”, Differ. Uravn., 4:6 (1968),  1035–1042  mathnet  mathscinet  zmath
2010
34. V. V. Amel'kin, I. V. Gaishun, E. A. Grebenikov, A. V. Gulin, O. V. Druzhinina, Yu. G. Evtushenko, N. A. Izobov, V. A. Il'in, V. V. Kozlov, N. A. Severtsev, T. K. Shemjakina, V. N. Shchennikov, “Aleksandr Andreevich Shestakov (A tribute in honor of his ninetieth birthday)”, Differ. Uravn., 46:1 (2010),  9–15  mathnet  mathscinet  zmath; Differ. Equ., 46:1 (2010), 8–16 1
1977
35. V. V. Amel'kin, “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  mathnet  mathscinet

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