DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA

Barış Karakaya,Mustafa Türk,Fatma Çulcu

doi:10.36222/ejt.674358

Abstract

Multi-scroll chaotic attractors exhibit higher unpredictability than double-scroll attractors. However, the more number of scrolls cost the more usage of sources. To overcome this problem, the attractor design should be simplified. This paper presents a systematic approach that enables to realize digital piece wise linear (PWL) function in nonlinear dynamical system and to obtain whole behaviors in only one model. The proposed design requires only number of scroll as input and can realize chaotic PWL signal with a fewer number of FPGA resources. In the implementation stage of the study, the discrete mathematical equations of the chaotic attractor is modelled in Xilinx System Generator (XSG) platform and realized by using Xilinx Kintex-7 KC705 Evaluation Board.

Highlights

Irregular and nonlinear dynamical systems that can cause to extraordinary differences in the system behavior [1]
In the implementation stage of the study, the discrete mathematical equations of the chaotic system is modelled in Xilinx System Generator (XSG) platform and realized by using Xilinx Kintex-7 KC705 Evaluation Board
The multi-scroll chaotic attractors are obtained according to the number of scrolls, the breakpoint voltages and resistor values

Summary

Introduction

Irregular and nonlinear dynamical systems that can cause to extraordinary differences in the system behavior [1]. A systematic approach that enables to realize digital piece wise linear (PWL) function in the Chua’s circuit model and to obtain whole behaviors in only one model. In the implementation stage of the study, the discrete mathematical equations of the chaotic system is modelled in Xilinx System Generator (XSG) platform and realized by using Xilinx Kintex-7 KC705 Evaluation Board.

The Chua’s Circuit

Discretization of differential equations

Design and realization

Conclusions