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Fpga Realization Of Complex Logistic Map Fractal Behavior

Author

Listed:
  • 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)

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.

Suggested Citation

  • Bahaa-Aldeen M. Abo-Alnaga & Lobna A. Said & Ahmed H. Madian & Ahmed G. Radwan, 2022. "Fpga Realization Of Complex Logistic Map Fractal Behavior," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-11, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22500232
    DOI: 10.1142/S0218348X22500232
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