Volterra-Type Quadratic Stochastic Operators with a Homogeneous Tournament

被引：0
|
作者：
Tadzhieva M.A. [1 ]
Eshmamatova D.B. [1 ]
Ganikhodzhaev R.N. [1 ]
机构：
[1] National University of Uzbekistan named after M. Ulugbek, Tashkent
来源：
Journal of Mathematical Sciences | 2024年 / 278卷 / 3期
关键词：
asymptotic behavior; homogeneous tournament; trajectory; Volterra-type quadratic stochastic operator;
D O I：
10.1007/s10958-024-06937-0
中图分类号：
学科分类号：
摘要：
As is known [3], each quadratic stochastic operator of Volterra type acting on a finite-dimensional 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 S 4 . © 2024, Springer Nature Switzerland AG.
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页码：546 / 556
页数：10
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