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

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.