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 proceedingConference contribution

12 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 languageEnglish
Title of host publicationAdvanced Computer and Communication Engineering Technology - Proceedings of ICOCOE 2015
EditorsHamzah Asyrani Sulaiman, Mohd Azlishah Othman, Mohd Fairuz Iskandar Othman, Yahaya Abd Rahim, Naim Che Pee
PublisherSpringer Verlag
Pages323-335
Number of pages13
ISBN (Print)9783319245829
DOIs
Publication statusPublished - 2016
Externally publishedYes
Event2nd International Conference on Communication and Computer Engineering, ICOCOE 2015 - Phuket, Thailand
Duration: Jun 9 2015Jun 11 2015

Publication series

NameLecture Notes in Electrical Engineering
Volume362
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference2nd International Conference on Communication and Computer Engineering, ICOCOE 2015
Country/TerritoryThailand
CityPhuket
Period6/9/156/11/15

Keywords

  • Convergence and simplex
  • Doubly stochastic quadratic operators
  • Fixed point
  • Trajectory

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering

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