Selection of optimal numerical method for implementation of Lorenz Chaotic system on FPGA

Year 2018, Volume: 2 Issue: 2, 147 - 152, 15.08.2018

Barış Karakaya Meral Akarçay Türk Mustafa Türk Arif Gülten

Abstract

In this study, implementation of
Lorenz chaotic system on Spartan 3e XC3S1600e FPGA development board by using
Xilinx System Generator technology is presented. Differential equations of any
nonlinear system have to be discretized before coding and design process on
FPGA editor. The Lorenz chaotic system is discretized by using Taylor series
expansion, Runge-Kutta and Euler discretization methods which are mostly
preferred to discretize the continuous formed signals. The optimal numerical
method based on application area is proposed by proving accuracy and complexity
of methods and comparing designs in terms of resource utilizations on FPGA
board.

Keywords

Chaos, FPGA, Lorenz chaotic system, Numerical Methods

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