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We have been studying the characteristics of the sequence generated by the logistic map over integers. In this paper, we examine the relationship of the NIST statistical tests to the Lyapunov exponents of the sequence. Then, we confirm good correlations between a sign of the exponents and both p-value and proportion of the NIST statistical tests. Therefore,… (More)

- Alexander Pott, Guang Gong, Serdar Boztas, Jeongho Yeo, Joon Ho Cho, Tatsuya Ohta +32 others
- 2014

We are interested in the properties of sequences generated by the logistic map over integers. In the present paper, we give the Lyapunov exponents of the sequences generated by the map. Then, we confirm good correlations between a sign of the exponents and a few properties of randomness such as averages periods and link-lengths, and an occurrence rate of… (More)

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