Osipenko George Sergeevich

Address:

Academic title:

• Professor of Mathematics, St. Petersburg State Technical University, 1990
• Doctor of Sciences, St. Petersburg State University, 1989
• Phd, Leningrad State University, 1975

Institutional affiliations:

• 1992 to present – Director of Laboratory of Nonlinear Analysis and Mathematical Simulation, St. Petersburg State Technical University;
• 1990 to present – Professor, Dept. of Higher Mathematics, St. Petersburg State Technical University;
• 2000 – Visiting Professor, Suleyman Demirel University, Isparta, Turkey;
• 1995 – Visiting Professor, School of Sciences, Belmont University, Nashville, USA;
• 1993 – Visiting Professor, Institute of Science and Technology, South Korea;
• 1975-1990 – Associated Professor, Dept. of Higher Mathematics, St. Petersburg State Technical University, St. Petersburg, Russia;

Teaching courses:

• Computer Modeling of Dynamical System
• Applied Mathematics
• Differential Equations
• Applied Symbolic Dynamics
• Invariant Manifolds

Languages:

• English
• French
• Russian

Scientific fields:

• Computer Modeling of Dynamical Systems
• Differential Equations
• Dynamical Systems
• Optimization
• Control Theory
• Applied Symbolic Dynamics and Chaos
• Theory of invariant manifolds

International activity:

• Conference "The Conley Index and Related Topics", Sherbrooke, Canada. 2001
• Conference "Mathematical Modeling", Ankara, Turkey, 2001
• Workshop "Theory of Singularity", Cambridge, England, 2000
• Wold Congress of Nonlinear Analysts", Cecilia, Italy, 2000
• International Conference "Differential Equations", Berlin, Germany, 1999
• Third Conference "Nonlinear Oscillations", Copenhagen, Denmark, 1999
• Wold Mathematical Congress, Berlin, Germany, 1998
• Symposium "Mathematical Theory of Networks", Padova, Italy, 1998

Organizer of 5 International Conferences "Differential Equations and Application" and "Tools for Mathematical Modeling"

Publications:

1. D.Mizin, G.Osipenko, S.Kobyakov, The estimates for the topological entropy of the dynamical system, Tools for mathematical modeling, Mathematical research, v.8 (2001), 85-105.
2. G.Osipenko, S.Ayter, S.Kobyakov, The structure matrix of dynamical system, Tools for mathematical modeling, Mathematical research, v.8 (2001), 106-114.
3. G.Osipenko, S.Pehlivan Verification of structural stability, Tools for mathematical modeling, Mathematical research, v.8 (2001), 115-126.
4. D. Mizin, G. Osipenko, S. Pechlivan, Relation between the topological entropy of dynamical system and the entropy of the symbolic image, Mathematics Recearch, v.6, Theory and Practice of Differential Equations, St.Petersburg, 2000, 142-148.
5. G.Osipenko, Calculation of Lyapunov exponents by applied symbolic dynamics, International Journal of Nonlinear Sciences and Numerical Simulation, v. 2, no. 1, 53-72, (2001).
6. G.Osipenko, Spectrum of a dynamical system and applied symbolic dynamics, Journal of Mathematical Analysis and Applications, 252, 587-616 (2000).
7. G.Osipenko and S.Campbell, Applied Symbolic Dynamics: attractors and filtrations, Discrete and Continuous Dynamical Systems, U.S.A., v.5, no.1-2, 1999, 43-60.
8. G.Osipenko, Morse Spectrum of Dynamical Systems and Symbolic Dynamics, in Proceedings of 15th IMACS World Congress, v.1, 1997, 25-30.
9. G.Osipenko and I.Il'in, Methods of Applied Symbolic Dynamics, Dynamical Systems and Applications, v. 2, Atlanta, Dynamic Pablishers Inc., USA, 1996, 451-459.
10. G.Osipenko, Computer Modelling of Dynamical Systems, Proc. Symp. on Modelling, Analysis and Simulation, Lille, France, 1996, 999-1004.
11. G.Osipenko, Linearization Near a Locally Nonunique Invariant Manifold, Discrete and Continuous Dynamical Systems, U.S.A., v.3, no.2, 1997, 189-205.
12. G.Osipenko, Indestructibility of Invariant Locally Nonunique manifolds, Discrete and Continuous Dynamical Systems, U.S.A., v.2, no.2, 1996, 203-219.
13. G.Osipenko, E.Ershov and J.Kim Lectures on Invariant Manifolds of Perturbed Differential Equations and Linearization, St.Petersburg, 1996, 153p, (monograph).
14. G.Osipenko, E.Ershov, Perturbation of invariant manifolds of ordinary differential equations, Six Lectures on Dynamical Systems, edit. B.Aulbach and F.Colonius, World Scientific, Singapore, 1996, 213-265, (monograph).

Books

Lectures On Symbolic Analysis of Dynamical Systems

Jim Yorke and Osipenko G.S.