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International Conference on Intelligent Systems Design and Applications

ISDA 2019: Intelligent Systems Design and Applications pp 245–254Cite as

Solving Lorenz ODE System Based Hardware Booster

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Part of the Advances in Intelligent Systems and Computing book series (AISC,volume 1181)

Abstract

In spite of, several mathematical approaches of the Lorenz solver system have been declared, fast and effective approaches has always been the direction in which scientists are trying to achieve. Based on this challenge, this paper initiates to boost the processing of Lorenz ordinary differential equations (ODE) system by applied hardware accelerator to take advantage of parallel architecture. A chaotic solution is found for various parameters and primary conditions. Specifically, Lorenz attractor was a group of chaotic outputs of the Lorenz equation. The 3D plotted the shape of Lorenz attractor was like “‘butterfly wings” which depend on initial conditions of the nonlinear system. Lorenz has more application in the real world as in biomechanical, physical, Control systems. As noted earlier, the Lorenz system is a scheme of ordinary differential equations exhibiting chaotic behavior for certain parameter values and initial conditions. The result presents the different Lorenz waveform of various parameter values to calculate the time of execution for each case study on a different platform.

Keywords

  • Lorenz ODE
  • FPGA
  • Accuracy
  • Chaotic
  • MATLAB

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Author information

Authors and Affiliations

  1. University of Information Technology and Communications, Baghdad, Iraq

    Hassan Al-Yassin, Mohammed A. Fadhel, Omran Al-Shamma & Laith Alzubaidi

  2. Faculty of Science and Engineering, Queensland University of Technology, Brisbane, Australia

    Laith Alzubaidi

Authors
  1. Hassan Al-Yassin
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  2. Mohammed A. Fadhel
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  3. Omran Al-Shamma
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  4. Laith Alzubaidi
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Corresponding author

Correspondence to Laith Alzubaidi .

Editor information

Editors and Affiliations

  1. Scientific Network for Innovation and Research Excellence, Machine Intelligence Research Labs (MIR), Auburn, WA, USA

    Prof. Dr. Ajith Abraham

  2. Université Paris-Est Créteil Val-de-Ma, Creteil Cedex, France

    Prof. Dr. Patrick Siarry

  3. School of Information Science and Engineering, University of Jinan, Jinan, Shandong, China

    Dr. Kun Ma

  4. Department of Construction Management and Real Estate, Vilnius Gediminas Technical University, Vilnius, Lithuania

    Prof. Dr. Dr. h. c. Arturas Kaklauskas

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Cite this paper

Al-Yassin, H., Fadhel, M.A., Al-Shamma, O., Alzubaidi, L. (2021). Solving Lorenz ODE System Based Hardware Booster. In: Abraham, A., Siarry, P., Ma, K., Kaklauskas, A. (eds) Intelligent Systems Design and Applications. ISDA 2019. Advances in Intelligent Systems and Computing, vol 1181. Springer, Cham. https://doi.org/10.1007/978-3-030-49342-4_24

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