Numerical Simulation Bidirectional Chaotic Synchronization of Spiegel-Moore Circuit and Its Application for Secure Communication

1st Annual Applied Science and Engineering Conference

工业技术;自然科学

Sanjaya, W.S.M.^1,3 ; Anggraeni, D.^1,3 ; Denya, R.^1 ; Ismail, N.^2

Department of Physics Education, Universitas Islam Negeri Sunan Gunung Djati, Bandung, Indonesia^1

Department of Electrical Engineering, Universitas Islam Negeri Sunan Gunung Djati, Bandung, Indonesia^2

Bolabot Techno Robotic Institute, CV. Sanjaya Star Group, Bandung, Indonesia^3

关键词: Bidirectional coupling;    Bifurcation diagram;    Chaotic synchronization;    Dynamic behaviors;    Eigen-value;    ITS applications;    Linear resistors;    Lyapunov exponent analysis;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/180/1/012066/pdf
DOI  :  10.1088/1757-899X/180/1/012066

来源: IOP

【 摘 要 】

Spiegel-Moore is a dynamical chaotic system which shows irregular variability in the luminosity of stars. In this paper present the performed the design and numerical simulation of the synchronization Spiegel-Moore circuit and applied to security system for communication. The initial study in this paper is to analyze the eigenvalue structures, various attractors, Bifurcation diagram, and Lyapunov exponent analysis. We have studied the dynamic behavior of the system in the case of the bidirectional coupling via a linear resistor. Both experimental and simulation results have shown that chaotic synchronization is possible. Finally, the effectiveness of the bidirectional coupling scheme between two identical Spiegel-Moore circuits in a secure communication system is presented in details. Integration of theoretical electronic circuit, the numerical simulation by using MATLAB®, as well as the implementation of circuit simulations by using Multisim® has been performed in this study.