The fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics.
Because of its numerous applications in areas like biology, physics, and economics, nonlinear analysis research is becoming more and more popular. The major challenge in this theory is to determine precisely the limiting points under the trajectories of the considered operators. In this paper, we fo...
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my.utm.1072762024-09-01T06:38:57Z http://eprints.utm.my/107276/ The fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics. Embong, Ahmad Fadillah Mohd. Rosli, Norhuda Afini QA Mathematics Because of its numerous applications in areas like biology, physics, and economics, nonlinear analysis research is becoming more and more popular. The major challenge in this theory is to determine precisely the limiting points under the trajectories of the considered operators. In this paper, we focus on the simplest nonlinear operator which is Quadratics Stochastic Operators (QSOs) and limited ourselves to one of the classes of QSOs namely, class b-bistochastic QSOs. In particular, we provide a comprehensive description of the fixed points for two-dimensional b-bistochastic QSOs which opens up the door a thorough explanation of the limiting points. 2023-08-29 Conference or Workshop Item PeerReviewed Embong, Ahmad Fadillah and Mohd. Rosli, Norhuda Afini (2023) The fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics. In: 10.1063/5.0165698, 9 August 2022 - 10 August 2022, Kuala Lumpur, Malaysia - Virtual, Online. http://dx.doi.org/10.1063/5.0165698 |
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QA Mathematics Embong, Ahmad Fadillah Mohd. Rosli, Norhuda Afini The fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics. |
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Because of its numerous applications in areas like biology, physics, and economics, nonlinear analysis research is becoming more and more popular. The major challenge in this theory is to determine precisely the limiting points under the trajectories of the considered operators. In this paper, we focus on the simplest nonlinear operator which is Quadratics Stochastic Operators (QSOs) and limited ourselves to one of the classes of QSOs namely, class b-bistochastic QSOs. In particular, we provide a comprehensive description of the fixed points for two-dimensional b-bistochastic QSOs which opens up the door a thorough explanation of the limiting points. |
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Conference or Workshop Item |
author |
Embong, Ahmad Fadillah Mohd. Rosli, Norhuda Afini |
author_facet |
Embong, Ahmad Fadillah Mohd. Rosli, Norhuda Afini |
author_sort |
Embong, Ahmad Fadillah |
title |
The fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics. |
title_short |
The fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics. |
title_full |
The fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics. |
title_fullStr |
The fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics. |
title_full_unstemmed |
The fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics. |
title_sort |
fixed point of two-dimensional b -bistochastic quadratic stochastic operators and their dynamics. |
publishDate |
2023 |
url |
http://eprints.utm.my/107276/ http://dx.doi.org/10.1063/5.0165698 |
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1809136651231821824 |
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13.2014675 |