On quadratic stochastic operators having three fixed points

Saburov, Mansoor and Yusof, Nur Atikah (2016) On quadratic stochastic operators having three fixed points. Journal of Physics: Conference Series, 697 (1). ISSN 1742-6588 E-ISSN 1742-6596

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Abstract

We knew that a trajectory of a linear stochastic operator associated with a positive square stochastic matrix starting from any initial point from the simplex converges to a unique fixed point. However, in general, the similar result for a quadratic stochastic operator associated with a positive cubic stochastic matrix does not hold true. In this paper, we provide an example for the quadratic stochastic operator with positive coefficients in which its trajectory may converge to different fixed points depending on initial points.

Item Type:	Article (Journal)
Additional Information:	6769/51149
Uncontrolled Keywords:	quadratic stochastic operators, positive coefficients, trajectory
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	24 Jun 2016 14:33
Last Modified:	09 Jan 2017 16:11
URI:	http://irep.iium.edu.my/id/eprint/51149

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