Open Access Library Journal 2021, Volume 8, e8101 ISSN Online: 2333-9721 ISSN Print: 2333-9705 DOI: 10.4236/oalib.1108101 Dec. 16, 2021 1 Open Access Library Journal A Four-Dimensional Chaotic System with Hidden Attractor and Its New Proposed Electronic Circuit Maysoon M. Aziz, Dalya M. Merie Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq Abstract This research deals with designing a new electronic circuit as an engineering application on a four-dimensional chaotic system. The adopted chaotic dy- namical system with a hidden attractor consists of two quadratic nonlineari- ties and parameters. The electronic circuit model is obtained by applying Kirchhoff’s laws. The electronic circuit consists of seven resistors, four capa- citors, 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. Subject Areas Mathematics Keywords Four-Dimensional Chaotic System, Kaplan-Yorke Dimension, Hidden Attractor, Circuit Simulation, MultiSIM12 1. Introduction Electronic systems rule our modern world, bridging the gap between software and physical reality. From communication to industrial process control to trans- portation to entertainment, the field of electronics continues to grow in reach and complexity. A working knowledge of basic electrical engineering concepts is now a powerful tool in many fields, and this value is likely to grow in the coming decades [1]. How to 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. https://doi.org/10.4236/oalib.1108101 Received: October 20, 2021 Accepted: December 13, 2021 Published: December 16, 2021 Copyright © 2021 by author(s) and Open Access Library Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Open Access