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.

PDF - Published Version Restricted to Repository staff only Download (709kB) | Request a copy

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:	Proceeding Paper (Full Paper)
Additional Information:	5537/25531 (ISBN: 9789834309053)
Uncontrolled Keywords:	trajectory, chaotic, dynamical system, conjugate
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	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

Actions (login required)

View Item