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 proceedingConference contribution

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 languageEnglish
Title of host publication2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781665433280
DOIs
Publication statusPublished - 2021
Event8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021 - Penghu, Taiwan, Province of China
Duration: Sep 15 2021Sep 17 2021

Publication series

Name2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021

Conference

Conference8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021
Country/TerritoryTaiwan, Province of China
CityPenghu
Period9/15/219/17/21

ASJC Scopus subject areas

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

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