Adaptive Control of Chaotic Signals: Investigated by Simulation Software and Real Electronic Circuits

Cheng-Hsiung Yang,Che-Lun Chang,Shih-Yu Li

doi:10.3390/act10110284

Abstract

Chaotic behavior is complicated, sensitive, and has the feature of great variety, which are the most potential signals to be applied in data encryption, secure communication, medical information protection, etc. As a consequence, in this paper, we try to propose three different ways to show our data generating results step by step, which means it can be proved effectively and used in practice: (1) Chaotic solutions simulated by MATLAB, (2) chaotic motion drawn via electronic circuits software Multisim, and (3) chaotic signal implemented on real electronic circuits with breadboard. In advance, following the same design principal, the adaptive chaotic signal is also designed and presented in the end of this article for further study, which provides a more flexible and variable chaotic signal to enhance the encryption effectiveness. The experimental results are extremely close to the two simulation results and can definitely be technically transferred to real encryption application.

Highlights

In the last two decades, research in chaotic dynamic systems has received a great deal of interest among scientists from various kinds of fields [1,2,3,4,5,6], which is an interdisciplinary research topic and well-famous for its complicated behaviors and sensitivity with initial conditions
We further propose three main ways to show our data generating results, which means it can be proved effectively and used in practice: (1) chaotic solutions simulated by MATLAB, (2) chaotic motion drawn via electronic circuits software Multisim, and (3) chaotic signals implemented on real electronic circuits with breadboard
In order to improve the usability of encryption via chaotic signals, in this article, we provide a set of adaptive chaotic signal generation as well, which is implemented through the same design principal mentioned above

Summary

Introduction

In the last two decades, research in chaotic dynamic systems has received a great deal of interest among scientists from various kinds of fields [1,2,3,4,5,6], which is an interdisciplinary research topic and well-famous for its complicated behaviors and sensitivity with initial conditions. Chaotic systems have been used for secure communication and different encryption systems to hide the important information signal in current years. N. Nguyen et al designed a low-power circuit to further generate a chaos signal for data encryption [26], which attempts to hide the personal data by applying chaotic signals. In order to improve the usability of encryption via chaotic signals, in this article, we provide a set of adaptive chaotic signal generation as well, which is implemented through the same design principal mentioned above. The adaptive chaotic signal generated by electronic circuits provided a more flexible and valuable way to enhance the encryption effectiveness.

Chaotic Behavior Expression of the Four-Dimensional Chen–Lee System

Circuit configuration of the four-dimensional

Experimental

Adaptive Synchronization of the Four-Dimensional Chen–Lee System on Circuits

11. Circuit

Conclusions