Abstract
From the mechanical system point of view, third-order derivatives of displacement or the time rate of change of acceleration is the jerk, while the fourth derivative has been known as a snap. As a result, a dynamical system which is presented by an nth order ordinary differential equation with \( n > 3 \) describing the time evolution of a single scalar variable is considered as a hyperjerk system. Hyperjerk system has received significant attention because of its elegant form. Motivated by reported attractive hyperjerk systems, a 4-D novel chaotic hyperjerk system has been introduced and studied in this work. Interestingly, this hyperjerk system displays an infinite number of equilibrium points because of the presence of a memristive device. In addition, an adaptive controller is proposed to achieve synchronization of such novel hyperjerk systems with two unknown parameters. In order to confirm the feasibility of the mathematical hyperjerk model, its electronic circuit is designed and implemented by using SPICE.
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