Dynamics of doubly stochastic quadratic operators on a finite-dimensional simplex

The present paper focuses on the dynamics of doubly stochastic quadratic operators (d.s.q.o) on a finite-dimensional simplex. We prove that if a d.s.q.o. has no periodic points then the trajectory of any initial point inside the simplex is convergent. We show that if d.s.q.o. is not a permutation th...

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Bibliographic Details
Main Authors: Abdulghafor Rawad, Shahidi Farruh, Zeki Akram, Turaev Sherzod
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2016-0045