The property of chaotic orbits with lower positions of numerical solutions in the logistic map

Jiahui Liu; Hongli Zhang; Dahua Song

doi:10.3390/e16115618

The property of chaotic orbits with lower positions of numerical solutions in the logistic map

Jiahui Liu^*
, Hongli Zhang
, Dahua Song

^*Corresponding author for this work

Harbin University of Science and Technology
School of Computer Science and Technology, Harbin Institute of Technology
Mudanjiang Medical University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we introduce an iterative method with lower positions of true numerical solutions located in the real orbit in order to investigate the property of the logistic map. The basic structure of the logistic map is presented, which consists of the root gene position, the common gene position and the individual gene position. The ergodicity and randomness of the logistic map are dependent on the individual gene position. We find that the lower positions of the true numerical solutions in the real orbits have the property of a half-life.

Original language	English
Pages (from-to)	5618-5632
Number of pages	15
Journal	Entropy
Volume	16
Issue number	11
DOIs	https://doi.org/10.3390/e16115618
State	Published - 2014
Externally published	Yes

Keywords

Chaotic orbit
Half-life
Iterative method
Logistic map
Lower position
Numerical simulation

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10.3390/e16115618

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title = "The property of chaotic orbits with lower positions of numerical solutions in the logistic map",

abstract = "In this paper, we introduce an iterative method with lower positions of true numerical solutions located in the real orbit in order to investigate the property of the logistic map. The basic structure of the logistic map is presented, which consists of the root gene position, the common gene position and the individual gene position. The ergodicity and randomness of the logistic map are dependent on the individual gene position. We find that the lower positions of the true numerical solutions in the real orbits have the property of a half-life.",

keywords = "Chaotic orbit, Half-life, Iterative method, Logistic map, Lower position, Numerical simulation",

author = "Jiahui Liu and Hongli Zhang and Dahua Song",

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AU - Zhang, Hongli

AU - Song, Dahua

PY - 2014

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N2 - In this paper, we introduce an iterative method with lower positions of true numerical solutions located in the real orbit in order to investigate the property of the logistic map. The basic structure of the logistic map is presented, which consists of the root gene position, the common gene position and the individual gene position. The ergodicity and randomness of the logistic map are dependent on the individual gene position. We find that the lower positions of the true numerical solutions in the real orbits have the property of a half-life.

AB - In this paper, we introduce an iterative method with lower positions of true numerical solutions located in the real orbit in order to investigate the property of the logistic map. The basic structure of the logistic map is presented, which consists of the root gene position, the common gene position and the individual gene position. The ergodicity and randomness of the logistic map are dependent on the individual gene position. We find that the lower positions of the true numerical solutions in the real orbits have the property of a half-life.

KW - Chaotic orbit

KW - Half-life

KW - Iterative method

KW - Logistic map

KW - Lower position

KW - Numerical simulation

UR - https://www.scopus.com/pages/publications/84911864232

U2 - 10.3390/e16115618

DO - 10.3390/e16115618

M3 - 文章

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VL - 16

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JO - Entropy

JF - Entropy

IS - 11

ER -

The property of chaotic orbits with lower positions of numerical solutions in the logistic map

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Keywords

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