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Osipenko GS Author
Subjects of specialization
Affiliation
Symbolic Dynamics, Dynamic Systems, Images , Graph ?heory
Lomonosov Moscow State University | MSU
Biography
He is affiliated to Lomonosov Moscow State University. He is a recipient of many awards and grants for his valuable contributions and discoveries in major area of subject research. His international experience includes various programs, contributions and participation in different countries for diverse fields of study. His research interests reflect in his wide range of publications in various national and international journals.
Publications
Research Article Open Access
Stability under C1 - Perturbation of Dynamical System
Author(s): Osipenko GS and Korzh TN
The aim is substantiation of a constructive method for verification of structural stability of discrete dynamical systems. The hyperbolicity of the chain recurrent set is a necessary condition for the structural stability. If the spectrum of the differential Df does not contain 0, then the chain recurrent set is hyperbolic and the system is Ω-stable. The spectrum is estimated through the symbolic image of operation of the differential on projective bundle. A diffeomorphism f is shown to be structurally stable if and only if the spectrum of complementary differential Df ˆ does not contain 0 and there is no connection CR+→CR on the projective bundle, where CR+ and CR denote the chain recurrent components for the positive and negative parts of t... view more»
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