Homomorphisms from the Logistic Map to the Quadratic Maps Over Zp

Takeru Miyazaki; Shunsuke Araki; Satoshi Uehara; Yasuyuki Nogami

Summary

International Symposium on Nonlinear Theory and Its Applications

2016

Session Number:A4L-C

Session:

Number:A4L-C-1

Homomorphisms from the Logistic Map to the Quadratic Maps Over Zp

Takeru Miyazaki, Shunsuke Araki, Satoshi Uehara, Yasuyuki Nogami,

pp.-

Publication Date:2016/11/27

Online ISSN:2188-5079

DOI:10.34385/proc.48.A4L-C-1

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Summary:

In this present paper, we propose a homomorphic relation between the logistic map and quadratic maps over the prime field Zp. We also prove that the number of structures on the sequences generated by them is just (p + 1)/2.