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

Rawad Abdulghafor; Farruh Shahidi; Akram Zeki; Sherzod Turaev

doi:10.1007/978-3-319-24584-3_26

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

Rawad Abdulghafor, Farruh Shahidi, Akram Zeki, Sherzod Turaev

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

11 Citations (Scopus)

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.

Original language	English
Title of host publication	Advanced Computer and Communication Engineering Technology - Proceedings of ICOCOE 2015
Editors	Hamzah Asyrani Sulaiman, Mohd Azlishah Othman, Mohd Fairuz Iskandar Othman, Yahaya Abd Rahim, Naim Che Pee
Publisher	Springer Verlag
Pages	323-335
Number of pages	13
ISBN (Print)	9783319245829
DOIs	https://doi.org/10.1007/978-3-319-24584-3_26
Publication status	Published - 2016
Externally published	Yes
Event	2nd International Conference on Communication and Computer Engineering, ICOCOE 2015 - Phuket, Thailand Duration: Jun 9 2015 → Jun 11 2015

Publication series

Name	Lecture Notes in Electrical Engineering
Volume	362
ISSN (Print)	1876-1100
ISSN (Electronic)	1876-1119

Conference

Conference	2nd International Conference on Communication and Computer Engineering, ICOCOE 2015
Country/Territory	Thailand
City	Phuket
Period	6/9/15 → 6/11/15

Keywords

Convergence and simplex
Doubly stochastic quadratic operators
Fixed point
Trajectory

ASJC Scopus subject areas

Industrial and Manufacturing Engineering

Access to Document

10.1007/978-3-319-24584-3_26

Cite this

Abdulghafor, R., Shahidi, F., Zeki, A., & Turaev, S. (2016). Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex. In H. A. Sulaiman, M. A. Othman, M. F. I. Othman, Y. A. Rahim, & N. C. Pee (Eds.), Advanced Computer and Communication Engineering Technology - Proceedings of ICOCOE 2015 (pp. 323-335). (Lecture Notes in Electrical Engineering; Vol. 362). Springer Verlag. https://doi.org/10.1007/978-3-319-24584-3_26

Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex. / Abdulghafor, Rawad; Shahidi, Farruh; Zeki, Akram et al.
Advanced Computer and Communication Engineering Technology - Proceedings of ICOCOE 2015. ed. / Hamzah Asyrani Sulaiman; Mohd Azlishah Othman; Mohd Fairuz Iskandar Othman; Yahaya Abd Rahim; Naim Che Pee. Springer Verlag, 2016. p. 323-335 (Lecture Notes in Electrical Engineering; Vol. 362).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abdulghafor, R, Shahidi, F, Zeki, A & Turaev, S 2016, Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex. in HA Sulaiman, MA Othman, MFI Othman, YA Rahim & NC Pee (eds), Advanced Computer and Communication Engineering Technology - Proceedings of ICOCOE 2015. Lecture Notes in Electrical Engineering, vol. 362, Springer Verlag, pp. 323-335, 2nd International Conference on Communication and Computer Engineering, ICOCOE 2015, Phuket, Thailand, 6/9/15. https://doi.org/10.1007/978-3-319-24584-3_26

Abdulghafor R, Shahidi F, Zeki A, Turaev S. Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex. In Sulaiman HA, Othman MA, Othman MFI, Rahim YA, Pee NC, editors, Advanced Computer and Communication Engineering Technology - Proceedings of ICOCOE 2015. Springer Verlag. 2016. p. 323-335. (Lecture Notes in Electrical Engineering). doi: 10.1007/978-3-319-24584-3_26

Abdulghafor, Rawad ; Shahidi, Farruh ; Zeki, Akram et al. / Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex. Advanced Computer and Communication Engineering Technology - Proceedings of ICOCOE 2015. editor / Hamzah Asyrani Sulaiman ; Mohd Azlishah Othman ; Mohd Fairuz Iskandar Othman ; Yahaya Abd Rahim ; Naim Che Pee. Springer Verlag, 2016. pp. 323-335 (Lecture Notes in Electrical Engineering).

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

Abstract

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Keywords

ASJC Scopus subject areas

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