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ISSN: 2333-9721
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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.

Cite this paper

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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