Electronic Circuit of New Seven-Term 4D Hyperjerk System
DOI:
https://doi.org/10.5890/JAND.2026.09.012Abstract
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.References
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