Article

Volterra-type Quadratic Stochastic Operators with a Homogeneous Tournament

M. A. TadzhievaNational University of Uzbekistan named after M. UlugbekDilfuza EshmamatovaNational University of Uzbekistan named after M. UlugbekRasul GanikhodzhaevNational University of Uzbekistan named after M. Ulugbek

Contemporary Mathematics Fundamental Directionsjournal2021en

ABI

Abstract

As is known [1], each quadratic stochastic operator of Volterra type acting on a finitedimensional simplex defines a certain tournament, the properties of which make it possible to study the asymptotic behavior of the trajectories of this Volterra operator. In this paper, we introduce the concept of a homogeneous tournament and study the dynamic properties of Volterra operators corresponding to homogeneous tournaments in the simplex S4.

Topics

Matrix Theory and Algorithms Advanced Topics in Algebra Optimization and Variational Analysis

Identifiers

DOI: 10.22363/2413-3639-2021-67-4-783-794

Citations and references

Cited by 012 references

Metrics — AkademScholar · Coming soon