On orthogonality preserving cubic stochastic operator defined on 1-dimensional simplex

In this paper, we consider the cubic stochastic operator (CSO) defined on 1-dimensional simplex, S1. We provide a full description of orthogonal preserving (OP) cubic stochastic operators on the simplex. We provide full description of the fixed points subject to two different parameters for the Volt...

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Bibliographic Details
Published inAIP conference proceedings Vol. 2184; no. 1
Main Authors Mukhamedov, Farrukh, Pah, Chin Hee, Rosli, Azizi
Format Journal Article Conference Proceeding
LanguageEnglish
Published Melville American Institute of Physics 04.12.2019
Subjects
Fixed points (mathematics)
Orthogonality
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Summary:In this paper, we consider the cubic stochastic operator (CSO) defined on 1-dimensional simplex, S1. We provide a full description of orthogonal preserving (OP) cubic stochastic operators on the simplex. We provide full description of the fixed points subject to two different parameters for the Volterra OP CSO on the simplex. In the last section we describe the behaviour of the fixed points.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5136362