FPGA REALIZATION OF COMPLEX LOGISTIC MAP FRACTAL BEHAVIOR

被引：2

作者：

Abo-Alnaga, Bahaa-Aldeen M. ^{[1
,2
]}

Said, Lobna A. ^{[2
]}

Madian, Ahmed H. ^{[2
,3
]}

Radwan, Ahmed G. ^{[4
,5
]}

机构：

[1] Brown Univ, Sch Engn, Providence, RI 02912 USA

[2] Nile Univ, Nanoelect Integrated Syst Ctr, Giza 12588, Egypt

[3] Egyptian Atom Energy Author, Radiat Engn Dept, NCRRT, 29 SOS, Cairo, Egypt

[4] Cairo Univ, Fac Engn, Engn Math Dept, Giza 12613, Egypt

[5] Nile Univ, Sch Engn & Appl Sci, Giza, Egypt

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 01期

关键词：

Fractal; Chaos; Bifurcation; Logistic Map; Digital Design; FPGA; CHAOTIC SYSTEM; IMPLEMENTATION; DESIGN;

D O I：

10.1142/S0218348X22500232

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the capability of digital architecture to mimic fractal behavior. As chaotic attractors realized digitally had opened many tracks, digital designs mimicking fractals may ultimately achieve the same. This study is based on a complex single-dimensional discrete chaotic system known as the generalized positive logistic map. The fractals realized from this system are linked to the results of the mathematical analysis to understand the fractal behavior with different variations. A digital hardware architecture manifesting the fractal behavior is achieved on FPGA, showing a fractal entity experimentally. With this digital realization, it is hoped that fractals can follow the example of chaotic attractors digital applications.

引用

页数：11

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