Published in Cybernetics and Systems Analysis
The dynamics of coronavirus cases is proposed to be modeled using switching regression whose switching points are unknown. The stepwise process of constructing the regression in time is described. The dynamics of the number of coronavirus cases in Ukraine is analyzed.
Published in Cybernetics and Systems Analysis
A method is developed to construct memory devices with an ultrahigh density of information recording based on the principles of operation of molecular systems of a neuron and its nuclear components DNA and RNA. A model of impulse transmission between synapses and neuron structures during varying the threshold of sensitivity of a neuron depending on...
Published in Cybernetics and Systems Analysis
A survey of informetric methods and technologies is presented. Problems and directions of informetrics are defined. The interrelations between the concepts such as scientometrics, bibliometrics, informetrics, webometrics, and altmetrics are shown. The existing informetric models and methods and also topical problems of informetrics are analyzed. Av...
Published in Cybernetics and Systems Analysis
Matrices associated with D-distance magic graphs are considered in the paper. Results regarding the spectral properties of these matrices have been obtained. It has been proved that if two graphs G and H of the same order have similar distance matrices AD1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} ...
Published in Cybernetics and Systems Analysis
The problem of localizing the zeros of analytic functions using the Krawczyk operator is considered. Formulas are obtained for computing the image of the Krawczyk operator for analytic functions. Based on this, a new algorithm for localizing the zeros is proposed. The use of the method is demonstrated by numerical examples including the search for ...
Published in Cybernetics and Systems Analysis
A new two-stage method is proposed for the approximate solution of variational inequalities with pseudo-monotone and Lipschitz-continuous operators acting in a finite-dimensional linear normed space. This method is a modification of several well-known two-stage algorithms using the Bregman divergence instead of the Euclidean distance. Like other sc...
Published in Cybernetics and Systems Analysis
New results are presented and a brief review is given for new methods of the theory of dynamic systems on manifolds over local fields and formal groups over local rings. For the analysis of n-dimensional manifolds and dynamic systems on such manifolds, formal structures are used, in particular, n-dimensional formal groups. Infinitesimal deformation...
Published in Cybernetics and Systems Analysis
New approaches to estimating the coefficients of exact penalty functions for constrained optimization problems are considered. The results of computational experiments using simplified procedures for estimating coefficients in solving some classes of problems are presented. Such approaches are most relevant when applying methods of decomposition by...
Published in Cybernetics and Systems Analysis
The author determines optimal production income tax rate at which net profit and state budget revenue steadily increase and a stable growth of production is ensured. For a lower rate, there is an accelerated growth in production, and for a higher rate, the budget revenue increases due to a slowdown in production growth. The author expresses the fun...
Published in Cybernetics and Systems Analysis
The problem of partitioning a set of vectors with integer coordinates is considered with respect to the coordinate-wise and lexicographic order on vectors using automaton interpretation. An FPGA-based hardware implementation of three-valued logic operations is proposed to check the satisfiability of formulas of this logic.
