Title: Real-time high-speed 5-D hyperchaotic Lorenz system on FPGA

Authors: İsmail Koyuncu; Murat Alçin; Murat Tuna; İhsan Pehlivan; Metin Varan; Sundarapandian Vaidyanathan

Addresses: Department of Electrical and Electronics Engineering, Faculty of Technology, Afyon Kocatepe University, Afyon, 03200, Turkey ' Department of Mechatronics Engineering, Faculty of Technology, Afyon Kocatepe University, Afyon, 03200, Turkey ' Department of Electrical, Technical Sciences Vocational High School, Kiklareli University, Kiklareli, 39100, Turkey ' Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University of Applied Science, Sakarya, 54187, Turkey ' Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University of Applied Science, Sakarya, 54187, Turkey ' Research and Development Centre, Vel Tech University, Chennai-600062, Tamil Nadu, India

Abstract: Chaotic systems have several engineering applications such as cryptology, random number generators, image processing and secure communication. A basic structure used in these studies is a chaotic oscillator design that produces a chaotic signal. In this paper, 5-D hyperchaotic Lorenz system (Hu, 2009) has been implemented on FPGA using Heun algorithm to improve the chaos-based embedded engineering applications. The 32-bit IEEE-754-1985 floating point format has been used in the Heun-based design. The design has been coded in VHDL. The maximum operating frequency of FPGA-based 5-D hyperchaotic Lorenz system reaches 430.146 MHz. In addition, a real circuit realisation of 5-D hyperchaotic Lorenz system has been performed using analogue circuit elements. The results of FPGA-based new 5-D hyperchaotic Lorenz system have been compared with the results of computer-based numerical simulation and then the error analyses (MSE and RMSE) have been carried out.

Keywords: hyperchaos; FPGA; VHDL; Heun algorithm.

DOI: 10.1504/IJCAT.2019.102852

International Journal of Computer Applications in Technology, 2019 Vol.61 No.3, pp.152 - 165

Received: 22 Nov 2018
Accepted: 15 Feb 2019
Published online: 08 Oct 2019 *

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