A New 6D Chaotic Generator: Computer Modelling and Circuit Design

IF 1.3 Q3 ENGINEERING, MULTIDISCIPLINARY International Journal of Engineering and Technology Innovation Pub Date : 2022-06-22 DOI:10.46604/ijeti.2022.9601

M. Kopp, A. Kopp

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Abstract

The objective of this study aims at using the Matlab-Simulink environment and the LabVIEW software environment to build computer models of a six-dimensional (6D) chaotic dynamic system. For the fixed system’s parameters, the spectrum of Lyapunov exponents and the Kaplan-York dimension are calculated. The presence of two positive Lyapunov exponents demonstrates the hyperchaotic behavior of the system. The fractional Kaplan-York dimension indicates the fractal structure of strange attractors. An active control method is extended to achieve global chaotic synchronization of two identical novel 6D chaotic systems with unknown system parameters. Based on the results obtained in Matlab-Simulink and LabVIEW models, a chaotic signal generator for the 6D chaotic system is implemented in the MultiSim environment. The experimental results show that the chaotic behavior simulation in the MultiSim environment is similar to those in the Matlab-Simulink and LabVIEW models. The simulation results demonstrate that the Pecora-Carroll method is a simple way of chaotic masking and signal decoding.

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一种新型6D混沌发生器：计算机建模与电路设计

本研究的目的是利用Matlab Simulink环境和LabVIEW软件环境建立六维（6D）混沌动力学系统的计算机模型。对于固定系统的参数，计算了李雅普诺夫指数的谱和Kaplan-York维数。两个正李雅普诺夫指数的存在证明了系统的超混沌行为。分数Kaplan-York维数表示奇异吸引子的分形结构。将一种主动控制方法推广到两个具有未知系统参数的全新6D混沌系统的全局混沌同步。基于Matlab-Simulink和LabVIEW模型的结果，在MultiSim环境下实现了6D混沌系统的混沌信号发生器。实验结果表明，MultiSim环境下的混沌行为仿真与Matlab-Simulink和LabVIEW模型中的混沌行为模拟相似。仿真结果表明，Pecora-Carroll方法是一种简单的混沌掩蔽和信号解码方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Engineering and Technology Innovation ENGINEERING, MULTIDISCIPLINARY-

CiteScore

2.80

自引率

0.00%

发文量

审稿时长

12 weeks

期刊介绍： The IJETI journal focus on the field of engineering and technology Innovation. And it publishes original papers including but not limited to the following fields: Automation Engineering Civil Engineering Control Engineering Electric Engineering Electronic Engineering Green Technology Information Engineering Mechanical Engineering Material Engineering Mechatronics and Robotics Engineering Nanotechnology Optic Engineering Sport Science and Technology Innovation Management Other Engineering and Technology Related Topics.