TITLE:
A Four-Dimensional Chaotic System with Hidden Attractor and Its New Proposed Electronic Circuit
AUTHORS:
Maysoon M. Aziz, Dalya M. Merie
KEYWORDS:
Four-Dimensional Chaotic System, Kaplan-Yorke Dimension, Hidden Attractor, Circuit Simulation, MultiSIM12
JOURNAL NAME:
Open Access Library Journal,
Vol.8 No.12,
December
16,
2021
ABSTRACT: 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.