Research and Reports on Mathematics

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Korzh TN Author

Subjects of specialization
hidden curriculum , forms of capital, genetic deficiency

Affiliation
Associate Professor of International & Global Education at SIT Graduate Institute Washington, District of Columbia, United States

Biography

Experienced researcher, educator, and international education development practitioner committed to equalizing educational opportunities for socio-economically disadvantaged children, youth, and adults through research, teaching, and NGO practice.


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 moreĀ»

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