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...
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2012
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my.iium.irep.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 Conference or Workshop Item REM 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/ |
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QA Mathematics Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani On p-adic generalized logistic dynamical system |
| 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. |
| format |
Conference or Workshop Item |
| author |
Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani |
| author_facet |
Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani |
| author_sort |
Mukhamedov, Farrukh |
| title |
On p-adic generalized logistic dynamical system |
| title_short |
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_sort |
on p-adic generalized logistic dynamical system |
| publisher |
IIUM Press |
| publishDate |
2012 |
| url |
http://irep.iium.edu.my/25531/1/mffa-ICMAE2012.pdf http://irep.iium.edu.my/25531/ http://www.iium.edu.my/icmae/12/ |
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