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...
| Main Authors: | , , , |
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| Format: | Book Chapter |
| Language: | English English English English |
| Published: |
Springer International Publishing
2016
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| Subjects: | |
| Online Access: | 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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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T16:36:37Z |
| format | Book Chapter |
| id | iium-54374 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English English |
| last_indexed | 2025-11-14T16:36:37Z |
| publishDate | 2016 |
| publisher | Springer International Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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 |
| title | 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_short | Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex |
| title_sort | dynamics classifications of extreme doubly stochastic quadratic operators on 2d simplex |
| topic | QA Mathematics QA75 Electronic computers. Computer science |
| 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 |