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Amel'kin, Vladimir Vasil'evich
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
2024
1. 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
2020
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. V. V. Amel'kin, “On some properties of divergent limit cycles”, Differ. Uravn., 27:11 (1991),  1975–1976  mathnet  zmath
13. V. V. Amel'kin, “Differential systems with common trajectories”, Differ. Uravn., 27:10 (1991),  1813–1814  mathnet  mathscinet  zmath
14. 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
15. 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
16. 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
17. 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
18. V. V. Amel'kin, V. L. Rabtsevich, “Transformation theory of holomorphic differential equations”, Differ. Uravn., 20:3 (1984),  523–525  mathnet  mathscinet  zmath
1982
19. 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
1980
20. V. V. Amel'kin, “Superharmonic oscillations of totally integrable linear systems”, Differ. Uravn., 16:11 (1980),  2089–2091  mathnet  mathscinet  zmath
1978
21. V. V. Amel'kin, I. V. Gaishun, L. N. Gaishun, “Reducible completely integrable systems”, Differ. Uravn., 14:3 (1978),  540–542  mathnet  mathscinet
1977
22. 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
23. 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
24. 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
25. V. V. Amel'kin, I. V. Gaishun, “The periodic solutions of second order systems”, Differ. Uravn., 10:9 (1974),  1560–1564  mathnet  mathscinet  zmath
26. 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
27. 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
28. 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
29. V. V. Amel'kin, “The periodic solutions of a certain nonautonomous system”, Differ. Uravn., 5:11 (1969),  2085–2086  mathnet  mathscinet  zmath
30. 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
31. 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
32. 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
33. 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
34. 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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