Design and Implementation of Autonomous and Non-Autonomous Time-Delay Chaotic System Based on Field Programmable Analog Array.

Fei-Long Xie,Han-Ping Hu,Xiao-Hui Liu

doi:10.3390/e21050437

Abstract

Time-delay chaotic systems can have hyperchaotic attractors with large numbers of positive Lyapunov exponents, and can generate highly stochastic and unpredictable time series with simple structures, which is very suitable as a secured chaotic source in chaotic secure communications. But time-delay chaotic systems are generally designed and implemented by using analog circuit design techniques. Analog implementations require a variety of electronic components and can be difficult and time consuming. At this stage, we can now solve this question by using FPAA (Field-Programmable Analog Array). FPAA is a programmable device for implementing multiple analog functions via dynamic reconfiguration. In this paper, we will introduce two FPAA-based design examples: An autonomous Ikeda system and a non-autonomous Duffing system, to show how a FPAA device is used to design programmable analog time-delay chaotic systems and analyze Shannon entropy and Lyapunov exponents of time series output by circuit and simulation systems.

Highlights

In security communication, the cryptogram generator is a key device
An autonomous Ikeda chaotic system has been implemented successfully by using FPAA programmable device according to pictorial results and quantitative results
Apart from the autonomous time-delay chaos system implemented by FPAA in the above section, FPAAs are fit to implement non-autonomous time-delay chaos systems by programming and reconfiguring

Summary

Introduction

The cryptogram generator is a key device. It is showed that in chaotic security communications, this cryptogram generator can be a chaotic system. The utility of the chaotic system is “encryption”, it is valuable to construct a proper chaotic system for chaotic security communication. A time delayed chaotic system has a simple structure and a hyperchaotic attractor in phase space, which provides a higher level of security in chaotic secure communications [1,2,3,4]. The design and implementation of a time-delayed chaotic system is of high practical importance for increasing the safety of secure communication. FPAA (Field Programmable Analog Array) is a dynamically programmable Analog Signal

Objectives

Results

Conclusion