Dynamics of low dimensional orthogonality preserving cubic stochastic operators /
Cubic stochastic operator (CSO) was first introduced in 2004 by Rozikov and Khamraev. Since then, few studies had been done to study the dynamics of trajectory of some classes of CSOs. In this thesis, we consider the cubic stochastic operator (CSO) defined on 1 and 2-dimensional simplex. We provide...
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| Main Author: | |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
Kuantan, Pahang :
Kulliyyah of Science, International Islamic University Malaysia,
2019
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| Subjects: | |
| Online Access: | http://studentrepo.iium.edu.my/handle/123456789/9821 |
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| 008 | 200116s2019 my a f m 000 0 eng d | ||
| 040 | |a UIAM |b eng |e rda | ||
| 041 | |a eng | ||
| 043 | |a a-my--- | ||
| 050 | 1 | 0 | |a QA274.2 |
| 100 | 0 | |a Azizi bin Rosli, |e author |9 19767 | |
| 245 | 1 | |a Dynamics of low dimensional orthogonality preserving cubic stochastic operators / |c by Azizi bin Rosli | |
| 264 | 1 | |a Kuantan, Pahang : |b Kulliyyah of Science, International Islamic University Malaysia, |c 2019 | |
| 300 | |a xii, 69 leaves : |b colour illustrations ; |c 30cm. | ||
| 336 | |2 rdacontent |a text | ||
| 337 | |2 rdamedia |a unmediated | ||
| 337 | |2 rdamedia |a computer | ||
| 338 | |2 rdacarrier |a volume | ||
| 338 | |2 rdacarrier |a online resource | ||
| 347 | |2 rdaft |a text file |b PDF | ||
| 500 | |a Abstracts in English and Arabic. | ||
| 500 | |a "A thesis submitted in fulfilment of the requirement for the degree of Master of Science (Computational and Theoretical Sciences)." --On title page. | ||
| 502 | |a Thesis (MSCTS)--International Islamic University Malaysia, 2019. | ||
| 504 | |a Includes bibliographical references (leaves 61-63). | ||
| 520 | |a Cubic stochastic operator (CSO) was first introduced in 2004 by Rozikov and Khamraev. Since then, few studies had been done to study the dynamics of trajectory of some classes of CSOs. In this thesis, we consider the cubic stochastic operator (CSO) defined on 1 and 2-dimensional simplex. We provide a full description of orthogonal preserving (OP) cubic stochastic operators on the 1 and 2-dimensional simplex. We provide full description of the fixed points subject to two different parameters for the Volterra OP CSO on both simplex. In the last part of each case we described the behaviour of the fixed points. A concrete example of a non-ergodic orthogonal preserving (OP) Volterra cubic stochastic operator is given. | ||
| 650 | 0 | |a Stochastic processes | |
| 650 | 0 | |a Dynamics |9 1092 | |
| 655 | 7 | |a Theses, IIUM local | |
| 690 | |a Dissertations, Academic |x Department of Computational and Theoretical Sciences |z IIUM |9 9140 | ||
| 700 | 0 | |a Pah Chin Hee, |c Assoc., Prof., Dr., |e degree supervisor |9 19778 | |
| 700 | 0 | |a Farrukh Mukhamedov, |c Prof. |e degree supervisor |9 19779 | |
| 710 | 2 | |a International Islamic University Malaysia. |b Department of Computational and Theoretical Sciences |9 9141 | |
| 856 | 4 | |u http://studentrepo.iium.edu.my/handle/123456789/9821 | |
| 900 | |a sz-aaz-nbm | ||
| 942 | |2 lcc |c THESIS | ||
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