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Solving Lorenz ODE System Based Hardware Booster

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Intelligent Systems Design and Applications (ISDA 2019)

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

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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.

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Correspondence to Laith Alzubaidi .

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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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