01.01.02; 01.01.09 (Differential equations; Discrete mathematics and mathematical cybernetics)
Birth date:
11.06.1945
E-mail:
Keywords:
dynamical systems; differential equations; constructive methods; symbolic dynamics and codes; computer modeling of dynamical systems.
Main publications:
G. Osipenko. Spectrum of a Dynamical System and Applied Symbolic Dynamics // Journal of Mathematical Analysis and Applications, v. 252, 2000, 587–616.
G. Osipenko. Construction of Attractors and Filtrations // Conley Index Theory, Banach Center Publications, Warszawa, v. 47, 1999, 173–197.
G. Osipenko. Linearization Near a Locally Nonunique Invariant Manifold // Discrete and Continuous Dynamical Systems, U.S.A., v. 3, no. 2, 1997, 189–205.
G. Osipenko, E. Ershov, J. Kim. Lectures on Invariant Manifolds of Perturbed Differential Equations and Linearization, St. Petersburg, 1996, 153 p.
G. Osipenko, E. Ershov. Perturbation of invariant manifolds of ordinary differential equations // in monograph Six Lectures on Dynamical Systems, edit. B.Aulbach and F.Colonius, World Scientific, Singapore, 1996, 213–265.
G. S. Osipenko, “Mean Convergence of Periodic Pseudotrajectories and Invariant Measures of Dynamical Systems”, Mat. Zametki, 108:6 (2020), 882–898; Math. Notes, 108:6 (2020), 854–866
2.
G. S. Osipenko, “Encodings of trajectories and invariant measures”, Mat. Sb., 211:7 (2020), 151–176; Sb. Math., 211:7 (2020), 1041–1064
2018
3.
G. S. Osipenko, “The spectrum of the averaging of a function over pseudotrajectories of a dynamical system”, Mat. Sb., 209:8 (2018), 114–137; Sb. Math., 209:8 (2018), 1211–1233
G. S. Osipenko, “Lyapunov Exponents and Invariant Measures on a Projective Bundle”, Mat. Zametki, 101:4 (2017), 549–561; Math. Notes, 101:4 (2017), 666–676
G. S. Osipenko, “Testing the transversality condition by the methods of symbolic dynamics”, Differ. Uravn., 26:9 (1990), 1528–1536; Differ. Equ., 26:9 (1990), 1126–1132
1989
8.
G. S. Osipenko, “Application of theorems on the perturbation of invariant manifolds”, Differ. Uravn., 25:9 (1989), 1526–1532; Differ. Equ., 25:9 (1989), 1071–1076
9.
G. S. Osipenko, “Examples of perturbations of invariant manifolds”, Differ. Uravn., 25:6 (1989), 943–950; Differ. Equ., 25:6 (1989), 675–681
1988
10.
G. S. Osipenko, “Perturbation of invariant manifolds. IV”, Differ. Uravn., 24:6 (1988), 987–993; Differ. Equ., 24:6 (1988), 647–652
1987
11.
G. S. Osipenko, “Perturbation of invariant manifolds. III”, Differ. Uravn., 23:5 (1987), 818–825
1985
12.
G. S. Osipenko, “Perturbation of invariant manifolds. II”, Differ. Uravn., 21:8 (1985), 1337–1344
13.
G. S. Osipenko, “Perturbation of invariant manifolds. I”, Differ. Uravn., 21:4 (1985), 615–623
14.
G. S. Osipenko, “Invariant foliations and partial hyperbolicity”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 3, 71–76; Soviet Math. (Iz. VUZ), 29:3 (1985), 91–98
1984
15.
G. S. Osipenko, “Structural stability of systems of differential equations”, Differ. Uravn., 20:11 (1984), 1897–1906
1983
16.
G. S. Osipenko, “Some global bifurcations”, Differ. Uravn., 19:11 (1983), 2004–2006
17.
G. S. Osipenko, “Integrability of invariant plane fields, separation and partial hyperbolicity”, Differ. Uravn., 19:10 (1983), 1687–1693
1981
18.
G. S. Osipenko, “Submanifolds of codimension $1$ and the perturbation of homogeneous systems”, Differ. Uravn., 17:12 (1981), 2274–2277
19.
G. S. Osipenko, “Dynamical structural stability”, Differ. Uravn., 17:9 (1981), 1692–1695
20.
G. S. Osipenko, “On the problem of linearization in the neighborhood of invariant manifolds”, Differ. Uravn., 17:4 (1981), 638–642
1980
21.
G. S. Osipenko, “Perturbation of dynamical systems near invariant manifolds. II”, Differ. Uravn., 16:4 (1980), 620–628
G. S. Osipenko, “Perturbation of dynamical systems near invariant manifolds. I”, Differ. Uravn., 15:11 (1979), 1967–1979
23.
G. S. Osipenko, “The behavior of the solutions of differential equations near invariant manifolds”, Differ. Uravn., 15:2 (1979), 262–271
1978
24.
G. S. Osipenko, “Dynamic equivalence near invariant manifolds”, Differ. Uravn., 14:9 (1978), 1703–1705
25.
G. S. Osipenko, “The trajectories of quasihomogeneous systems of differential equations”, Differ. Uravn., 14:2 (1978), 223–231
1976
26.
G. S. Osipenko, “The local dynamical equivalence of differential equations”, Differ. Uravn., 12:12 (1976), 2193–2200
1975
27.
G. S. Osipenko, “The topological equivalence of differential equations”, Differ. Uravn., 11:8 (1975), 1366–1374
28.
G. S. Osipenko, “On a homotopy invariant”, Differ. Uravn., 11:6 (1975), 1139–1140
1974
29.
G. S. Osipenko, “The problems of Frommer”, Differ. Uravn., 10:6 (1974), 1015–1024
1973
30.
G. S. Osipenko, “The removal of the singularity of a differential equation in a certain case”, Differ. Uravn., 9:6 (1973), 1146–1148
2002
31.
L. A. Mironovskii, G. S. Osipenko, “Third International Conference “Tools for Mathematical Modelling””, Avtomat. i Telemekh., 2002, no. 3, 187–188; Autom. Remote Control, 63:3 (2002), 517–518