Quadratic operators corresponding to permutations
Uygun JamilovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan;Kh. O. KhudoyberdievDepartment of Digital Economics and Information Technologies, Samarkand Branch of Tashkent State University of Economics, Samarkand, Uzbekistan;M. LadraDepartment of Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain
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Аннотация
In the present paper we consider a family of non-Volterra quadratic stochastic operators depending on a parameter α and study their trajectory behaviors. We find all fixed and periodic points for a non-Volterra quadratic stochastic operator on a finite-dimensional simplex. A complete description of the set of limit points is given, and we show that such operators have the ergodic property.
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