This research deals with designing a new electronic circuit as an engineering application on a four-dimensional chaotic system. The adopted chaotic dynamical system with a hidden attractor consists of two quadratic nonlinearities and parameters. The electronic circuit model is obtained by applying Kirchhoff’s laws. The electronic circuit consists of seven resistors, four capacitors, four voltages and four operational amplifiers. The chaotic motions of the four-Dimensional system are investigated through Lyapunov exponents, Kaplan-Yorke dimension, phase portraits, and diagrams. Using MultiSIM12, the theoretical results were simulated and found to be well consistent with the results obtained from MATLAB.
Cite this paper
Aziz, M. M. and Merie, D. M. (2021). A Four-Dimensional Chaotic System with Hidden Attractor and Its New Proposed Electronic Circuit. Open Access Library Journal, 8, e8101. doi: http://dx.doi.org/10.4236/oalib.1108101.
Aziz, M.M. and Hamid, M.A. (2019) The Possibility of Increasing the Predictability Indices after Control of 3D-Continuous-Time System. 2019 International Conference on Computing and Information Science and Technology and Their Applications, Kirkuk, 3-5 March 2019, 1-5.
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.
https://doi.org/10.4236/oalib.1106075
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.
Aziz, M.M. and Faraj, M. (2012) Numerical and Chaotic Analysis of Chua’s Circuit. Journal of Emerging Trends in Computing and Information Science, 3, 783-791.
Aziz, M.M. and Merie, D.M. (2020) Stability and Chaos with Mathematical Control of 4-D Dynamical System. Indonesian Journal of Electrical Engineering and Computer Science, 20, No. 3. https://doi.org/10.11591/ijeecs.v20.i3.pp1242-1251
