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
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Annotatsiya
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.
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