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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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World Science Publishing Company
2012
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| Online Access: | http://irep.iium.edu.my/26421/ http://irep.iium.edu.my/26421/1/Farruh_AOMT__Int_J_Modern_Physics_S201019451200534X.pdf |
| _version_ | 1848779644662185984 |
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| author | Shahidi, Farruh Md Tap, Abu Osman |
| author_facet | Shahidi, Farruh Md Tap, Abu Osman |
| author_sort | Shahidi, Farruh |
| building | IIUM Repository |
| collection | Online Access |
| 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 |
| first_indexed | 2025-11-14T15:21:03Z |
| format | Article |
| id | iium-26421 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:21:03Z |
| publishDate | 2012 |
| publisher | World Science Publishing Company |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| spellingShingle | QA Mathematics Shahidi, Farruh Md Tap, Abu Osman The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex |
| title | 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_short | The asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2D simplex |
| title_sort | asymptotic behaviour of trajectories dissipative quadratic stochastic operators 2d simplex |
| topic | QA Mathematics |
| 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 |