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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Qaralleh, Izzat Salem
التنسيق: أطروحة
اللغة:English
منشور في: Kuala Lumpur : Kulliyyah of Science, International Islamic University Malaysia, 2014
الموضوعات:
الوصول للمادة أونلاين:Click here to view 1st 24 pages of the thesis. Members can view fulltext at the specified PCs in the library.
الوسوم: إضافة وسم
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040 |a UIAM  |b eng 
041 |a eng 
043 |a a-my--- 
050 |a QA274.2 
100 1 |a Qaralleh, Izzat Salem 
245 1 |a On ξ quadratic stochastic operators and related algebras /  |c by Izzat Salem Qaralleh 
260 |a Kuala Lumpur :  |b Kulliyyah of Science, International Islamic University Malaysia,  |c 2014 
300 |a xi, 182 leaves :  |b ill. ;  |c 30cm. 
502 |a Thesis (Ph.D)--International Islamic University Malaysia, 2014. 
504 |a Includes bibliographical references (leaves 159-162). 
520 |a 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. 
596 |a 1 
655 7 |a Theses, IIUM local 
690 |a Dissertations, Academic  |x Kulliyyah of Science  |z IIUM 
710 2 |a International Islamic University Malaysia.  |b Kulliyyah of Science 
856 4 |u http://studentrepo.iium.edu.my/handle/123456789/6131  |z 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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