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On p-adic generalized logistic dynamical system

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.

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Abstract

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.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 5537/25531 (ISBN: 9789834309053)
Uncontrolled Keywords: trajectory, chaotic, dynamical system, conjugate
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr. Farrukh Mukhamedov
Date Deposited: 16 Aug 2012 08:29
Last Modified: 16 Aug 2012 08:29
URI: http://irep.iium.edu.my/id/eprint/25531

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