On p-adic generalized 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 paper, we consider its...
| Main Authors: | , |
|---|---|
| Format: | Proceeding Paper |
| Language: | English |
| Published: |
IIUM Press
2012
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/25531/ http://irep.iium.edu.my/25531/1/mffa-ICMAE2012.pdf |
| _version_ | 1848779474933383168 |
|---|---|
| author | Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani |
| author_facet | Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | 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 paper, we consider its cubic generalization, namely we study a dynamical system of the form f(x)=ax(1-x2 ) We show that for the case , the dynamical system is conjugate to the shift of symbolic dynamics. |
| first_indexed | 2025-11-14T15:18:21Z |
| format | Proceeding Paper |
| id | iium-25531 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:18:21Z |
| publishDate | 2012 |
| publisher | IIUM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-255312012-08-16T00:29:09Z http://irep.iium.edu.my/25531/ On p-adic generalized logistic dynamical system Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani QA Mathematics 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 paper, we consider its cubic generalization, namely we study a dynamical system of the form f(x)=ax(1-x2 ) We show that for the case , the dynamical system is conjugate to the shift of symbolic dynamics. IIUM Press 2012 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/25531/1/mffa-ICMAE2012.pdf Mukhamedov, Farrukh and Wan Rozali, Wan Nur Fairuz Alwani (2012) On p-adic generalized logistic dynamical system. In: Proceedings of International Conference on Mathematical Applications in Engineering (ICMAE’12), 3-5 July 2012, Kuala Lumpur. http://www.iium.edu.my/icmae/12/ |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani On p-adic generalized logistic dynamical system |
| title | On p-adic generalized logistic dynamical system |
| title_full | On p-adic generalized logistic dynamical system |
| title_fullStr | On p-adic generalized logistic dynamical system |
| title_full_unstemmed | On p-adic generalized logistic dynamical system |
| title_short | On p-adic generalized logistic dynamical system |
| title_sort | on p-adic generalized logistic dynamical system |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/25531/ http://irep.iium.edu.my/25531/ http://irep.iium.edu.my/25531/1/mffa-ICMAE2012.pdf |