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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Electronic Circuit of New Seven-Term 4D Hyperjerk System

Journal of Applied Nonlinear Dynamics 15(3) (2026) 695--706 | DOI:10.5890/JAND.2026.09.012

Ammar M. Al-Rawi, Saad Fawzi Al-Azzawi

Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq

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Abstract

A new seven-term 4D hyperjerk system is derived from a homogeneous fourth-order differential equation. This system incorporates cross-product and cubic nonlinearities, resulting in a chaotic attractor. Its dynamic behavior is analyzed through numerical simulations and analytical studies, employing phase portraits, Lyapunov exponents, and the Kaplan-Yorke dimension. Additionally, an electronic circuit representation of the proposed system is designed using Multisim 14.3 software, with observations performed via an oscilloscope and a Tektronix oscilloscope. Numerical simulations confirm the accuracy of the electronic circuit, demonstrating strong consistency with results obtained using MATLAB 23 software. Lastly, the NIST statistical test (SP800-22) is applied to the generated chaotic sequences.

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