A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers

Sota Eguchi; Takeru Miyazaki; Satoshi Uehara; Shunsuke Araki; Yasuyuki Nogami

doi:10.1109/ICCE-TW52618.2021.9602954

A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

The piecewise logistic map proposed by Wang, Liu and Lei provided a wider range of the control parameter than one by the logistic map. However, it is not clear enough to describe relations between the number of divisions and properties of the map. In this paper, we investigate how the period and link length change with respect to number of divisions. As a result, we confirmed period and link length increases or decreases periodically. Further, we confirmed randomness of long period sequence comparable to the randomness of logistic map over integers with high available bits for 2 bits.

Original language	English
Title of host publication	2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781665433280
DOIs	https://doi.org/10.1109/ICCE-TW52618.2021.9602954
Publication status	Published - 2021
Event	8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021 - Penghu, Taiwan, Province of China Duration: Sep 15 2021 → Sep 17 2021

Publication series

Name	2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021

Conference

Conference	8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021
Country/Territory	Taiwan, Province of China
City	Penghu
Period	9/15/21 → 9/17/21

ASJC Scopus subject areas

Artificial Intelligence
Computer Science Applications
Electrical and Electronic Engineering
Control and Optimization
Instrumentation

Access to Document

10.1109/ICCE-TW52618.2021.9602954

Cite this

Eguchi, S., Miyazaki, T., Uehara, S., Araki, S., & Nogami, Y. (2021). A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers. In 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021 (2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCE-TW52618.2021.9602954

A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers. / Eguchi, Sota; Miyazaki, Takeru; Uehara, Satoshi et al.

2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Eguchi, S, Miyazaki, T, Uehara, S, Araki, S & Nogami, Y 2021, A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers. in 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021. 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021, Institute of Electrical and Electronics Engineers Inc., 8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021, Penghu, Taiwan, Province of China, 9/15/21. https://doi.org/10.1109/ICCE-TW52618.2021.9602954

Eguchi S, Miyazaki T, Uehara S, Araki S, Nogami Y. A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers. In 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021. Institute of Electrical and Electronics Engineers Inc. 2021. (2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021). doi: 10.1109/ICCE-TW52618.2021.9602954

Eguchi, Sota ; Miyazaki, Takeru ; Uehara, Satoshi et al. / A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers. 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021).

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title = "A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers",

abstract = "The piecewise logistic map proposed by Wang, Liu and Lei provided a wider range of the control parameter than one by the logistic map. However, it is not clear enough to describe relations between the number of divisions and properties of the map. In this paper, we investigate how the period and link length change with respect to number of divisions. As a result, we confirmed period and link length increases or decreases periodically. Further, we confirmed randomness of long period sequence comparable to the randomness of logistic map over integers with high available bits for 2 bits. ",

author = "Sota Eguchi and Takeru Miyazaki and Satoshi Uehara and Shunsuke Araki and Yasuyuki Nogami",

note = "Funding Information: ACKNOWLEDGMENT This work was supported in part by JSPS KAKENHI Grant Numbers JP20K11796 and JP21K11890. Publisher Copyright: {\textcopyright} 2021 IEEE.; 8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021 ; Conference date: 15-09-2021 Through 17-09-2021",

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AU - Nogami, Yasuyuki

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AB - The piecewise logistic map proposed by Wang, Liu and Lei provided a wider range of the control parameter than one by the logistic map. However, it is not clear enough to describe relations between the number of divisions and properties of the map. In this paper, we investigate how the period and link length change with respect to number of divisions. As a result, we confirmed period and link length increases or decreases periodically. Further, we confirmed randomness of long period sequence comparable to the randomness of logistic map over integers with high available bits for 2 bits.

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A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers

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