The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex

Shahidi, Farruh and Md Tap, Abu Osman (2012) The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex. International Journal of Modern Physics: Conference Series, 9. pp. 293-298. ISSN 2010-1945

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Abstract

We study the limit behavior of dissipative quadratic stochastic operators on 2D simplex. We show that dissipative quadratic stochastic operator, which is not linear, is either regular or has infinitely many fixed points. If the dissipative quadratic stochastic operator is regular, it is shown that its unique fixed point is either a vertex of a simplex or the center of the face of the simplex

Item Type:	Article (Journal)
Additional Information:	6574/26421
Uncontrolled Keywords:	Dissipative stochastic operators; quadratic stochastic operator; majorization; fixed point
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Information and Communication Technology > Department of Computer Science Kulliyyah of Information and Communication Technology > Department of Computer Science
Depositing User:	Prof Dr ABU OSMAN MD TAP
Date Deposited:	20 Nov 2012 08:29
Last Modified:	20 Nov 2012 08:29
URI:	http://irep.iium.edu.my/id/eprint/26421

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