全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

A Four-Dimensional Chaotic System with Hidden Attractor and Its New Proposed Electronic Circuit

DOI: 10.4236/oalib.1108101, PP. 1-10

Keywords: Four-Dimensional Chaotic System, Kaplan-Yorke Dimension, Hidden Attractor, Circuit Simulation, MultiSIM12

Full-Text   Cite this paper   Add to My Lib

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.

References

[1]  Robbins, M.F. (2017) Ultimate Electronics: Practical Circuit Design and Analysis. CircuitLab, Inc. https://www.circuitlab.com/
[2]  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.
[3]  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
[4]  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.
[5]  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.
[6]  Aziz, M.M. (2018) Stability Analysis of Mathematical Model. International Journal of Science and Research (IJSR), 7, 147-148.
[7]  Salam, Md.A. and Rahman, Q.M. (2018) Fundamentals of Electrical Circuit Analysis. Springer Nature Singapore Private Ltd., Singapore.
[8]  Aziz, M.M. (2021) Applied Mathematical Model for a Heat Transfer. Periodical Engineering and Natural Science, 9, 940-945.
[9]  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
[10]  Azar, A.T. and Vaidyanathan, S. (2016) Advances in Chaos Theory and Intelligent Control. Springer, Berlin. https://doi.org/10.1007/978-3-319-30340-6

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133