On ξ quadratic stochastic operators and related algebras /
In this thesis, we start to study a class of quadratic stochastic operators called (s) ξ - QSO. We first classify them into 20 non-conjugate classes. Moreover, we investigate the dynamics of four classes of (s) ξ -QSO. Furthermore, we study another class of quadratic stochastic operator called (a) ξ...
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| Main Author: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
Kuala Lumpur :
Kulliyyah of Science, International Islamic University Malaysia,
2014
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| Subjects: | |
| Online Access: | Click here to view 1st 24 pages of the thesis. Members can view fulltext at the specified PCs in the library. |
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| Summary: | In this thesis, we start to study a class of quadratic stochastic operators called (s) ξ - QSO. We first classify them into 20 non-conjugate classes. Moreover, we investigate the dynamics of four classes of (s) ξ -QSO. Furthermore, we study another class of quadratic stochastic operator called (a) ξ -QSO. We also classify (a) ξ -QSO into two non-conjugate classes. Further, we investigate the dynamics of these classes. After that, we move to study the existence of associativity and derivations of genetic algebras generated by the four classes of (s) ξ . Moreover, we figure out the connection between genetic and evolution algebras. Thereafter, we reduce the study of arbitrary evolution algebra of permutations into two special evolution algebras. Furthermore, we establish some properties of three-dimensional evolution algebras whose each basis element has infinite period. At end, we classify three dimension nilpotent and solvable evolution algebras. |
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| Physical Description: | xi, 182 leaves : ill. ; 30cm. |
| Bibliography: | Includes bibliographical references (leaves 159-162). |