On generalized p-adic logistic dynamical system /
Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting p-adic dynamical system is p-adic logistic map. It is known such a mapping is chaotic. In the present thesis, we consider it...
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
Kuantan:
Kulliyah of Science, International Islamic University Malaysia,
2012
|
| Subjects: | |
| Online Access: | Click here to view 1st 24 pages of the thesis. Members can view fulltext at the specified PCs in the library. |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Applications of p-adic numbers in p-adic mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting p-adic dynamical system is p-adic logistic map. It is known such a mapping is chaotic. In the present thesis, we consider its cubic generalization, namely we study a dynamical system of the form Thethesis is devoted to the investigation of trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a. For the value of parameter, we consider three cases: and . For each case, we study the existence of the fixed points. Moreover, 2-periodic points are also studied for the case Not only that, their behavior also being investigated whether such fixed points are attracting, repelling or neutral. Moreover, we describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs. For the case , we establish that the dynamical system is conjugate to the shift of symbolic dynamics. |
|---|---|
| Item Description: | Abstract in English and Arabic. "A thesis submitted in fulfilment of the requirement for the degree of Master of Science (Computational And Theoretical Sciences)."--On t.p. |
| Physical Description: | xii, 96 leaves : ill. ; 30cm. |
| Bibliography: | Includes bibliographical references (leaves 90-94). |