Electronic Circuit of Simple Hyperjerk System

A new simple hyperjerk system is derived from a homogeneous fourth-order differential equation. The proposed system comprises seven terms, featuring only a cross-product nonlinearity, and exhibits a chaotic attractor. The appropriate selection of parameters plays a crucial role in determining the system's dissipative and conservative properties. The dynamic behavior is explored through numerical simulations and analytical studies, utilizing phase portraits, Lyapunov exponents, the Kaplan-Yorke dimension, and bifurcation diagrams. Furthermore, an electronic circuit implementation of the proposed system is designed using Multisim 14.3 software, with observations conducted via an oscilloscope and a Tektronix oscilloscope. Numerical simulations validate the electronic circuit, showing close agreement with the results obtained using MATLAB 23 Software.