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

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 converg...

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Main Authors:	Abdulghafor, Rawad Abdulkhaleq Abdulmolla, Shahidi, Farruh, Zeki, Akram M., Turaev, Sherzod
Format:	Book Chapter
Language:	English English English English
Published:	Springer International Publishing 2016
Subjects:	QA Mathematics QA75 Electronic computers. Computer science
Online Access:	http://irep.iium.edu.my/54374/ http://irep.iium.edu.my/54374/ http://irep.iium.edu.my/54374/ http://irep.iium.edu.my/54374/1/ICOCOE.pdf http://irep.iium.edu.my/54374/2/ICOCOE.pdf http://irep.iium.edu.my/54374/9/54374_TOC.pdf http://irep.iium.edu.my/54374/15/54374_dynamic%20classifications_scopus.pdf

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recordtype	eprints
spelling	iium-543742019-05-23T08:03:06Z http://irep.iium.edu.my/54374/ Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex Abdulghafor, Rawad Abdulkhaleq Abdulmolla Shahidi, Farruh Zeki, Akram M. Turaev, Sherzod QA Mathematics QA75 Electronic computers. Computer science 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. Springer International Publishing 2016 Book Chapter PeerReviewed application/pdf en http://irep.iium.edu.my/54374/1/ICOCOE.pdf application/pdf en http://irep.iium.edu.my/54374/2/ICOCOE.pdf application/pdf en http://irep.iium.edu.my/54374/9/54374_TOC.pdf application/pdf en http://irep.iium.edu.my/54374/15/54374_dynamic%20classifications_scopus.pdf 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 http://link.springer.com/chapter/10.1007%2F978-3-319-24584-3_26 10.1007/978-3-319-24584-3
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English English
topic	QA Mathematics QA75 Electronic computers. Computer science
spellingShingle	QA Mathematics QA75 Electronic computers. Computer science Abdulghafor, Rawad Abdulkhaleq Abdulmolla Shahidi, Farruh Zeki, Akram M. Turaev, Sherzod Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex
description	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.
format	Book Chapter
author	Abdulghafor, Rawad Abdulkhaleq Abdulmolla Shahidi, Farruh Zeki, Akram M. Turaev, Sherzod
author_facet	Abdulghafor, Rawad Abdulkhaleq Abdulmolla Shahidi, Farruh Zeki, Akram M. Turaev, Sherzod
author_sort	Abdulghafor, Rawad Abdulkhaleq Abdulmolla
title	Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex
title_short	Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex
title_full	Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex
title_fullStr	Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex
title_full_unstemmed	Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex
title_sort	dynamics classifications of extreme doubly stochastic quadratic operators on 2d simplex
publisher	Springer International Publishing
publishDate	2016
url	http://irep.iium.edu.my/54374/ http://irep.iium.edu.my/54374/ http://irep.iium.edu.my/54374/ http://irep.iium.edu.my/54374/1/ICOCOE.pdf http://irep.iium.edu.my/54374/2/ICOCOE.pdf http://irep.iium.edu.my/54374/9/54374_TOC.pdf http://irep.iium.edu.my/54374/15/54374_dynamic%20classifications_scopus.pdf
first_indexed	2023-09-18T21:16:55Z
last_indexed	2023-09-18T21:16:55Z
_version_	1777411624392458240

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

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