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Osipenko, Georgy Sergeevich

Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 30

Number of views:
This page:1146
Abstract pages:4124
Full texts:1474
References:168
Professor
Doctor of physico-mathematical sciences (1990)
Speciality: 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.

https://www.mathnet.ru/eng/person17474
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Publications in Math-Net.Ru Citations
2020
1. G. S. Osipenko, “Mean Convergence of Periodic Pseudotrajectories and Invariant Measures of Dynamical Systems”, Mat. Zametki, 108:6 (2020),  882–898  mathnet  mathscinet  elib; Math. Notes, 108:6 (2020), 854–866  isi  scopus
2. G. S. Osipenko, “Encodings of trajectories and invariant measures”, Mat. Sb., 211:7 (2020),  151–176  mathnet  mathscinet  elib; Sb. Math., 211:7 (2020), 1041–1064  isi  scopus
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  mathnet  mathscinet  elib; Sb. Math., 209:8 (2018), 1211–1233  isi  scopus 2
2017
4. G. S. Osipenko, “Lyapunov Exponents and Invariant Measures on a Projective Bundle”, Mat. Zametki, 101:4 (2017),  549–561  mathnet  mathscinet  elib; Math. Notes, 101:4 (2017), 666–676  isi  scopus 2
2006
5. G. S. Osipenko, “Structural stability and symbolic image”, Differ. Uravn., 42:4 (2006),  468–475  mathnet  mathscinet; Differ. Equ., 42:4 (2006), 496–504
2002
6. G. S. Osipenko, “Estimating Characteristic Exponents by Methods of Symbolic Dynamics”, Differ. Uravn., 38:4 (2002),  460–470  mathnet  mathscinet; Differ. Equ., 38:4 (2002), 478–489 1
1990
7. G. S. Osipenko, “Testing the transversality condition by the methods of symbolic dynamics”, Differ. Uravn., 26:9 (1990),  1528–1536  mathnet  mathscinet; 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  mathnet  mathscinet; Differ. Equ., 25:9 (1989), 1071–1076
9. G. S. Osipenko, “Examples of perturbations of invariant manifolds”, Differ. Uravn., 25:6 (1989),  943–950  mathnet  mathscinet; Differ. Equ., 25:6 (1989), 675–681
1988
10. G. S. Osipenko, “Perturbation of invariant manifolds. IV”, Differ. Uravn., 24:6 (1988),  987–993  mathnet  mathscinet  zmath; Differ. Equ., 24:6 (1988), 647–652
1987
11. G. S. Osipenko, “Perturbation of invariant manifolds. III”, Differ. Uravn., 23:5 (1987),  818–825  mathnet  mathscinet
1985
12. G. S. Osipenko, “Perturbation of invariant manifolds. II”, Differ. Uravn., 21:8 (1985),  1337–1344  mathnet  mathscinet  zmath
13. G. S. Osipenko, “Perturbation of invariant manifolds. I”, Differ. Uravn., 21:4 (1985),  615–623  mathnet  mathscinet  zmath
14. G. S. Osipenko, “Invariant foliations and partial hyperbolicity”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 3,  71–76  mathnet  mathscinet  zmath; 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  mathnet  mathscinet
1983
16. G. S. Osipenko, “Some global bifurcations”, Differ. Uravn., 19:11 (1983),  2004–2006  mathnet  mathscinet  zmath
17. G. S. Osipenko, “Integrability of invariant plane fields, separation and partial hyperbolicity”, Differ. Uravn., 19:10 (1983),  1687–1693  mathnet  mathscinet
1981
18. G. S. Osipenko, “Submanifolds of codimension $1$ and the perturbation of homogeneous systems”, Differ. Uravn., 17:12 (1981),  2274–2277  mathnet  mathscinet  zmath
19. G. S. Osipenko, “Dynamical structural stability”, Differ. Uravn., 17:9 (1981),  1692–1695  mathnet  mathscinet  zmath
20. G. S. Osipenko, “On the problem of linearization in the neighborhood of invariant manifolds”, Differ. Uravn., 17:4 (1981),  638–642  mathnet  mathscinet
1980
21. G. S. Osipenko, “Perturbation of dynamical systems near invariant manifolds. II”, Differ. Uravn., 16:4 (1980),  620–628  mathnet  mathscinet 1
1979
22. G. S. Osipenko, “Perturbation of dynamical systems near invariant manifolds. I”, Differ. Uravn., 15:11 (1979),  1967–1979  mathnet  mathscinet  zmath
23. G. S. Osipenko, “The behavior of the solutions of differential equations near invariant manifolds”, Differ. Uravn., 15:2 (1979),  262–271  mathnet  mathscinet  zmath
1978
24. G. S. Osipenko, “Dynamic equivalence near invariant manifolds”, Differ. Uravn., 14:9 (1978),  1703–1705  mathnet  mathscinet  zmath
25. G. S. Osipenko, “The trajectories of quasihomogeneous systems of differential equations”, Differ. Uravn., 14:2 (1978),  223–231  mathnet  mathscinet  zmath
1976
26. G. S. Osipenko, “The local dynamical equivalence of differential equations”, Differ. Uravn., 12:12 (1976),  2193–2200  mathnet  mathscinet  zmath
1975
27. G. S. Osipenko, “The topological equivalence of differential equations”, Differ. Uravn., 11:8 (1975),  1366–1374  mathnet  mathscinet  zmath
28. G. S. Osipenko, “On a homotopy invariant”, Differ. Uravn., 11:6 (1975),  1139–1140  mathnet  mathscinet  zmath
1974
29. G. S. Osipenko, “The problems of Frommer”, Differ. Uravn., 10:6 (1974),  1015–1024  mathnet  mathscinet  zmath
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  mathnet  mathscinet  zmath

2002
31. L. A. Mironovskii, G. S. Osipenko, “Third International Conference “Tools for Mathematical Modelling””, Avtomat. i Telemekh., 2002, no. 3,  187–188  mathnet; Autom. Remote Control, 63:3 (2002), 517–518

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