Technical gazette, Vol. 27 No. 3, 2020.
Original scientific paper
https://doi.org/10.17559/TV-20180613102955
A Chaotic Jerk System with Different Types of Equilibria and its Application in Communication System
Karthikeyan Rajagopal
; Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia
Viet-Thanh Pham
; Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Serdar Çiçek
; Department of Electronic & Automation, Vocational School of Hacibektas, Nevsehir Haci Bektas Veli University, Hacibektaş, Nevşehir, Turkey
Sajad Jafari
; Department of Biomedical Engineering, Amirkabir University of Technology, Tehran, Iran
Anitha Karthikeyan
; Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia
Sundaram Arun
; Department of Electronics and Communication, Prathyusha Engineering College, Chennai, India
Abstract
In this paper, a new jerk system is designed. This system can display different characters of equilibrium points according to the value of its parameters. The proposed nonlinear oscillator can have both self-excited and hidden attractors. Dynamical properties of this system are investigated with the help of eigenvalues of equilibria, Lyapunov exponents' spectrum, and bifurcation diagrams. Also, an electronic circuit implementation is carried out to show the feasibility of this system. As an engineering application of this new chaotic jerk system, a chaotic communication system is realized by correlation delay shift keying. When the results of the communication system are examined, the transmitted information signal is successfully obtained in the receiving unit, and its performance efficiency is investigated in the presence of additive white Gaussian noise.
Keywords
chaotic; circuit; communication system; dynamics; equilibrium
Hrčak ID:
239073
URI
Publication date:
14.6.2020.
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