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Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex

Abdulghafor, Rawad Abdulkhaleq Abdulmolla and Shahidi, Farruh and Zeki, Akram M. and Turaev, Sherzod (2016) Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex. In: Advanced Computer and Communication Engineering Technology, LNEE. Springer International Publishing, Switzerland, pp. 323-335. ISBN 978-3-319-24582-9

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Abstract

We study the dynamics of extreme doubly stochastic quadratic operators (d.s.q.o.) on two dimensional (2D) simplex. We provide some examples of d.s.q.o. which have infinitely many fixed points. We prove that the trajectory of extreme d.s.q.o., starting at some interior point of the simplex is convergent. Finally, we classify the dynamics of all extreme points of d.s.q.o. on 2D.

Item Type: Book Chapter
Additional Information: 6153/54374
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Information and Communication Technology
Kulliyyah of Information and Communication Technology
Depositing User: Dr. Sherzod Turaev
Date Deposited: 26 Jan 2017 22:38
Last Modified: 23 May 2019 16:03
URI: http://irep.iium.edu.my/id/eprint/54374

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