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

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

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 i...

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Main Authors: Shahidi, Farruh, Md Tap, Abu Osman
Format: Article
Language:English
Published: World Science Publishing Company 2012
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/26421/
http://irep.iium.edu.my/26421/
http://irep.iium.edu.my/26421/
http://irep.iium.edu.my/26421/1/Farruh_AOMT__Int_J_Modern_Physics_S201019451200534X.pdf
id iium-26421
recordtype eprints
spelling iium-264212012-11-20T00:29:55Z http://irep.iium.edu.my/26421/ The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex Shahidi, Farruh Md Tap, Abu Osman QA Mathematics 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 World Science Publishing Company 2012 Article PeerReviewed application/pdf en http://irep.iium.edu.my/26421/1/Farruh_AOMT__Int_J_Modern_Physics_S201019451200534X.pdf 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 http://www.worldscientific.com/doi/pdf/10.1142/S201019451200534X 10.1142/S201019451200534X
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Shahidi, Farruh
Md Tap, Abu Osman
The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex
description 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
format Article
author Shahidi, Farruh
Md Tap, Abu Osman
author_facet Shahidi, Farruh
Md Tap, Abu Osman
author_sort Shahidi, Farruh
title The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex
title_short The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex
title_full The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex
title_fullStr The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex
title_full_unstemmed The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex
title_sort asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2d simplex
publisher World Science Publishing Company
publishDate 2012
url http://irep.iium.edu.my/26421/
http://irep.iium.edu.my/26421/
http://irep.iium.edu.my/26421/
http://irep.iium.edu.my/26421/1/Farruh_AOMT__Int_J_Modern_Physics_S201019451200534X.pdf
first_indexed 2023-09-18T20:39:22Z
last_indexed 2023-09-18T20:39:22Z
_version_ 1777409261917175808

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