FPGA-based implementation of different families of fractional-order chaotic oscillators applying Griinwald-Letnikov method

摘要

Fractional-order chaotic oscillators are a hot topic of research and nowadays many new mathematical models have been introduced, which can be suitable for the development of novel applications in all related fields of science and engineering. However, the challenge is their implementation that can be performed using electronic devices. In this manner, we highlight the implementation of different families of fractional-order chaotic oscillators using field-programmable gate arrays (FPGAs). We detail the hardware implementation when solving the mathematical models applying the Grunwald-Letnikov method, and highlight the short-memory principle, which memory length is designed using specialized random-access-memory and read-only-memory blocks. In addition, we show how to reduce hardware resources by reusing blocks that are controlled by an especial architecture that is introduced herein, in order to perform an efficient processing of the data. Finally, using Cyclone IV GX FPGA DE2i-150 from Altera, DAS1612 digital-to-analog converter and fixed-point arithmetic of 32 bits, we provide experimental results that were observed in a Lecroy's oscilloscope showing working frequencies of fractional-order chaotic attractors between 77.59 and 84.9 MHz. (C) 2019 Elsevier B.V. All rights reserved.