01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
26.05.1948
E-mail:
Biography
Graduated from Faculty of Mathematics and Mechanics of Kiev State University in 1971 (department of mathematical physics). Ph. D. thesis was defended in 1974. A list of my works contains more than 75 titles.
Main publications:
Dobrynskii V. A., Sharkovskii A. N. Tipichnost dinamicheskikh cistem, pochti vse traektorii kotorykh ustoichivy pri postoyanno deistvuyuschikh vozmuscheniyakh // Dokl. AN SSSR, 1973, 211(2), 273–276.
Dobrynskii V. A. Tipichnost dinamicheskikh sistem s ustoichivoi prolongatsiei // Dinamicheskie sistemy i ustoichivost reshenii differentsialnykh uravnenii. Kiev: IM AN USSR, 1973, 43–53.
Sharkovskii A. N., Dobrynskii V. A. Nebluzhdayuschie tochki dinamicheskikh sistem // Dinamicheskie sistemy i ustoichivost reshenii differentsialnykh uravnenii. Kiev: IM AN USSR, 1973, 165–174.
Bondarchuk V. S., Dobrynskii V. A. Dinamicheskie sistemy s giperbolicheskim tsentrom // Funktsionalnye i differentsialno-raznostnye uravneniya. Kiev: IM AN USSR, 1974, 13–41.
Dobrynskii V. A. Ob aksiome A Smeila $(NW(f)=\overline{Per(f)})$ // Analiticheskie i kachestvennye metody issledovaniya differentsialnykh i differentsialno-raznostnykh uravnenii. Kiev: IM AN USSR, 1977, 60ndash;71.
V. A. Dobrynskii, “On the Structure of Generalized Hyperbolic Attractors of Mappings That Are Not One-to-One”, Differ. Uravn., 41:6 (2005), 746–754; Differ. Equ., 41:6 (2005), 780–790
V. A. Dobrynskii, “Structure of the Phase Portrait of an Endomorphism of the Plane at the Moment of Bifurcation of Its Diagonal Attractor”, Mat. Zametki, 74:2 (2003), 230–237; Math. Notes, 74:2 (2003), 220–227
2001
3.
V. A. Dobrynskii, “Conditions for the Stable Coexistence of Two Populations of the Same Species”, Differ. Uravn., 37:12 (2001), 1680–1685; Differ. Equ., 37:12 (2001), 1767–1772
V. A. Dobrynskii, “Critical sets and two-dimensional topologically mixed attractors of a pair of coupled “tent maps””, Mat. Zametki, 65:5 (1999), 654–658; Math. Notes, 65:5 (1999), 548–552
1998
5.
V. A. Dobrynskii, “The existence of two-dimensional topologically mixed attractors for some piecewise linear maps of the plane”, Izv. RAN. Ser. Mat., 62:6 (1998), 53–58; Izv. Math., 62:6 (1998), 1121–1126
V. A. Dobrynskii, “On the absence of cycles for unimodal mappings of the square”, Mat. Zametki, 63:3 (1998), 370–378; Math. Notes, 63:3 (1998), 325–332
V. A. Dobrynskii, “On semi-unimodal maps of the plane and the structure of their sets of non-wandering points”, Izv. RAN. Ser. Mat., 61:5 (1997), 3–34; Izv. Math., 61:5 (1997), 899–931
V. A. Dobrynskii, A. N. Sharkovskii, “Typicalness of dynamical systems almost all paths of which are stable under permanently acting perturbations”, Dokl. Akad. Nauk SSSR, 211:2 (1973), 273–276
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