On Dynamics of a Volterra Cubic Stochastic Operators in S2

Authors

  • Mahmatqobilov Nurbek Po‘lat o‘g‘li Faculty of Mathematics, Karshi State University, Karshi, Uzbekistan, Teacher
  • Zikrmuhammad Abdusamadov University of Information Technologies and Management, Karshi, Uzbekistan, Master

Keywords:

Cubic stochastic operator, volterra cubic stochastic operator, orbit

Abstract

In this article, we study the Volterra cubic stochastic operator defined on a two-dimensional simplex. That is, we consider the cubic stochastic operator defined on a simplex. It is shown that for the Volterra cubic stochastic operator defined on a two-dimensional simplex, the vertices of the simplex are fixed points. 

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Published

2025-12-03