A new property of logistic map with scalable precision

Jiahui Liu; Hongli Zhang; Dahua Song; M. K. Buza; Bo Yang; Cong Guo

doi:10.1109/IWCFTA.2012.24

A new property of logistic map with scalable precision

Jiahui Liu^*
, Hongli Zhang
, Dahua Song
, M. K. Buza
, Bo Yang
, Cong Guo

^*Corresponding author for this work

Faculty of Computing

Harbin University of Science and Technology
Harbin Institute of Technology
Mudanjiang Medical University
Belarusian State University

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

4 Scopus citations

Abstract

In this paper, iteration method of logistic map with low positions is introduced in order to investigate property of logistic map. Basic structure of logistic map is proposed, which consists of common gene positions (CGPs) and individual gene positions (IGPs). CGPs have the same value of corresponding positions which transferred from previous numerical solutions. The ergodicity and long-term unpredictability of logistic map are largely dependent on IGPs. CGPs and IGPs can help us to deeply understand the property of chaos.

Original language	English
Title of host publication	Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012
Pages	67-71
Number of pages	5
DOIs	https://doi.org/10.1109/IWCFTA.2012.24
State	Published - 2012
Event	5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012 - Dalian, Liaoning, China Duration: 18 Oct 2012 → 21 Oct 2012

Publication series

Name	Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012

Conference

Conference	5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012
Country/Territory	China
City	Dalian, Liaoning
Period	18/10/12 → 21/10/12

Keywords

chaos
logistic map
low position
numerical simulation

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10.1109/IWCFTA.2012.24

Cite this

Liu, J., Zhang, H., Song, D., Buza, M. K., Yang, B., & Guo, C. (2012). A new property of logistic map with scalable precision. In Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012 (pp. 67-71). Article 6383273 (Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012). https://doi.org/10.1109/IWCFTA.2012.24

@inproceedings{c4ad8924057149378238e36d2c907cfe,

title = "A new property of logistic map with scalable precision",

abstract = "In this paper, iteration method of logistic map with low positions is introduced in order to investigate property of logistic map. Basic structure of logistic map is proposed, which consists of common gene positions (CGPs) and individual gene positions (IGPs). CGPs have the same value of corresponding positions which transferred from previous numerical solutions. The ergodicity and long-term unpredictability of logistic map are largely dependent on IGPs. CGPs and IGPs can help us to deeply understand the property of chaos.",

keywords = "chaos, logistic map, low position, numerical simulation",

author = "Jiahui Liu and Hongli Zhang and Dahua Song and Buza, \{M. K.\} and Bo Yang and Cong Guo",

year = "2012",

doi = "10.1109/IWCFTA.2012.24",

language = "英语",

isbn = "9780769548357",

series = "Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012",

pages = "67--71",

booktitle = "Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012",

note = "5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012 ; Conference date: 18-10-2012 Through 21-10-2012",

}

Liu, J, Zhang, H, Song, D, Buza, MK, Yang, B & Guo, C 2012, A new property of logistic map with scalable precision. in Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012., 6383273, Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012, pp. 67-71, 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012, Dalian, Liaoning, China, 18/10/12. https://doi.org/10.1109/IWCFTA.2012.24

A new property of logistic map with scalable precision. / Liu, Jiahui; Zhang, Hongli; Song, Dahua et al.
Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012. 2012. p. 67-71 6383273 (Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012).

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

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AU - Zhang, Hongli

AU - Song, Dahua

AU - Buza, M. K.

AU - Yang, Bo

AU - Guo, Cong

PY - 2012

Y1 - 2012

N2 - In this paper, iteration method of logistic map with low positions is introduced in order to investigate property of logistic map. Basic structure of logistic map is proposed, which consists of common gene positions (CGPs) and individual gene positions (IGPs). CGPs have the same value of corresponding positions which transferred from previous numerical solutions. The ergodicity and long-term unpredictability of logistic map are largely dependent on IGPs. CGPs and IGPs can help us to deeply understand the property of chaos.

AB - In this paper, iteration method of logistic map with low positions is introduced in order to investigate property of logistic map. Basic structure of logistic map is proposed, which consists of common gene positions (CGPs) and individual gene positions (IGPs). CGPs have the same value of corresponding positions which transferred from previous numerical solutions. The ergodicity and long-term unpredictability of logistic map are largely dependent on IGPs. CGPs and IGPs can help us to deeply understand the property of chaos.

KW - chaos

KW - logistic map

KW - low position

KW - numerical simulation

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DO - 10.1109/IWCFTA.2012.24

M3 - 会议稿件

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SN - 9780769548357

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BT - Proceedings of the 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012

T2 - 5th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2012

Y2 - 18 October 2012 through 21 October 2012

ER -

A new property of logistic map with scalable precision

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