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All Journal International Journal of Electrical and Computer Engineering
Ayman Ali Arafa
Sohag University
Computer Science & IT Electrical & Electronics Engineering

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A New Chaotic System with Line of Equilibria: Dynamics, Passive Control and Circuit Design Aceng Sambas; Mustafa Mamat; Ayman Ali Arafa; Gamal M Mahmoud; Mohamad Afendee Mohamed; W. S. Mada Sanjaya
International Journal of Electrical and Computer Engineering (IJECE) Vol 9, No 4: August 2019
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2267.016 KB) | DOI: 10.11591/ijece.v9i4.pp2336-2345

Abstract

A new chaotic system with line equilibrium is introduced in this paper. This system consists of five terms with two transcendental nonlinearities and two quadratic nonlinearities. Various tools of dynamical system such as phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, bifurcation diagram and Poincarè map are used. It is interesting that this system has a line of fixed points and can display chaotic attractors. Next, this paper discusses control using passive control method. One example is given to insure the theoretical analysis. Finally, for the  new chaotic system, An electronic circuit for realizing the chaotic system has been implemented. The numerical simulation by using MATLAB 2010 and implementation of circuit simulations by using MultiSIM 10.0 have been performed in this study.
Co-Authors Aceng Sambas Gamal M Mahmoud Mada Sanjaya WS Mohamad Afendee Mohamed Mustafa Mamat