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A Three-Dimensional Chaotic System and Its New Proposed Electronic Circuit

DOI: 10.4236/oalib.1106555, PP. 1-9

Subject Areas: Dynamical System

Keywords: Hyperchaotic System, Chaotic Attractors, Kaplan-Yorke Dimension, Circuit Simulation

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Abstract

In this paper, new electronic circuit was designed with two-equilibrium as an engineering application on a three-dimensional chaotic system. The circuit consists of resistors, capacitors, voltages and operational amplifiers TL032CN. The adopted continuous-time chaotic dynamical system is with quadratic cross-product nonlinear terms and parameters. The basic characteristics of the proposed circuit model were analyzed in detail by equilibrium points, stability analysis, Lyapunov exponents and Kaplan-Yorke dimension. The results were simulated theoretically using MultiSIM 10, and it was well consistent with the results obtained from the Matlab program.

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Aziz, M. M. and Merie, D. M. (2020). A Three-Dimensional Chaotic System and Its New Proposed Electronic Circuit. Open Access Library Journal, 7, e6555. doi: http://dx.doi.org/10.4236/oalib.1106555.

References

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[2]  Aziz, M.M. and AL-Azzawi, S.F. (2017) Hybrid Chaos Synchronization between Different Hyperchaotic Systems via Two Approaches. Optik, 138, 328-340. https://doi.org/10.1016/j.ijleo.2017.03.053
[3]  Aziz, M.M. and Al-Nuaimi, Z.A. (2013) Stability and Hop-Bifurcation for Diabetes Model. International Journal of Electronics Communication and Computer Engineering, 4, 805-809.
[4]  Aziz, M.M. and Faraj, M.N. (2012) Numerical and Chaotic Analysis of Chua’s Circuit. Journal of Emerging Trends in Computing and Information Science, 3, 783-791.
[5]  Aziz, M.M. (2018) Stability Analysis of Mathematical Model. International Journal of Science and Research (IJSR), 7, 147-148.
[6]  Lamamra, K., Vaidyanathan, S., Putra, W.T., Darnila, E., Sambas, A. and Mujiarto (2020) A New 3-D Chaotic Jerk System with Four Nonlinear Terms, Its Backstepping Synchronization and Circuit Simulation. Journal of Physics: Conference Series, 1477, Article ID: 022017. https://doi.org/10.1088/1742-6596/1477/2/022017
[7]  Salam, Md.A. and Rahman, Q.M. (2018) Fundamentals of Electrical Circuit Analysis. Springer Nature Singapore Private Limited, Singapore.
[8]  Aziz, M.M. and Merie, D.M. (2020) Stability and Adaptive Control with Synchronization of 3-D Dynamical System. Open Access Library Journal, 7, 1-18.

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