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A New Chaotic System with Line of Equilibria : Dynamics, Passive Control and Circuit Design,

Research Authors
Aceng Sambas, Mustafa Mamat, Ayman A. Aly, G. M. Mahmoud, Mohamad A. Mohamed, W.S. MadaSanjaya,
Research 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.

Research Department
Research Journal
International Journal of Electrical and Computer Engineering (IJECE), August 2019, pp. 2365~2376 ISSN: 2088-8708, DOI: 10.11591/ijece.v9i4.
Research Member
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 9, No. 4
Research Website
NULL
Research Year
2019
Research Pages
2365-2376