TY - GEN
T1 - A Study on Relationship Between Period and Number of Divisions in Piecewise Logistic Map over Integers
AU - Eguchi, Sota
AU - Miyazaki, Takeru
AU - Uehara, Satoshi
AU - Araki, Shunsuke
AU - Nogami, Yasuyuki
N1 - Funding Information:
ACKNOWLEDGMENT This work was supported in part by JSPS KAKENHI Grant Numbers JP20K11796 and JP21K11890.
Publisher Copyright:
© 2021 IEEE.
PY - 2021
Y1 - 2021
N2 - 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.
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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U2 - 10.1109/ICCE-TW52618.2021.9602954
DO - 10.1109/ICCE-TW52618.2021.9602954
M3 - Conference contribution
AN - SCOPUS:85123052382
T3 - 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021
BT - 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021
Y2 - 15 September 2021 through 17 September 2021
ER -