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: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IIUM Press
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/25531/ http://irep.iium.edu.my/25531/ http://irep.iium.edu.my/25531/1/mffa-ICMAE2012.pdf |
| 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 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. |
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