FPGA REALIZATION OF COMPLEX LOGISTIC MAP FRACTAL BEHAVIOR

Bahaa-Aldeen M. Abo-Alnaga, Lobna A. Said (), Ahmed H. Madian and Ahmed G. Radwan
Additional contact information
Bahaa-Aldeen M. Abo-Alnaga: School of Engineering, Brown University, Providence, RI, USA†Nano-electronics Integrated Systems Center, Nile University, Giza 12588, Egypt
Lobna A. Said: ��Nano-electronics Integrated Systems Center, Nile University, Giza 12588, Egypt
Ahmed H. Madian: ��Nano-electronics Integrated Systems Center, Nile University, Giza 12588, Egypt‡Radiation Engineering Department, NCRRT, Egyptian Atomic Energy Authority, Cairo 29 SOS, Egypt
Ahmed G. Radwan: �Engineering Mathematics Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt¶School of Engineering and Applied Sciences, Nile University, Giza, Egypt

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-11

Abstract: 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.

Keywords: Fractal; Chaos; Bifurcation; Logistic Map; Digital Design; FPGA (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22500232
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22500232

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22500232

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().