MATHEMATICAL FOUNDATION OF INFORMATION TECHNOLOGIES IN MODERN NONLINEAR DYNAMICAL SYSTEMS

Keywords: dynamical systems, nonlinear maps, randomness, orbits, chaotic processes.

Abstract

In this paper it is considered and generalized hypothesis about existence of 3 classes of processes: physical, mental and mathematical. It is shown that in all nonlinear dynamical systems the key factor in determining their quantitative and qualitative characteristics is the information about fixed points of dynamical systems and their orbit properties.

Author Biographies

George Vostrov, Odessa National Polytechnic University
Candidate of Technical Sciences, Associate Professor
Andrii Khrinenko, Odessa National Polytechnic University
master
Published
2019-04-19
Section
Dynamic Systems' Modelling

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