Dynamical Behavior of a 3D Jerk System with a Generalized Memristive Device

Abstract

As a new type of electronic components, a memristive device is receiving worldwide attention and can enrich the dynamical behaviors of the oscillating system. In this paper, we propose a 3D jerk system by introducing a generalized memristive device. It is found that the dynamical behaviors of the system are sensitive to the initial conditions even the system parameters are fixed, which results in the coexistence of multiple attractors. And there exists different transition behaviors depending on the selection of the parameters and initial values. Thereby, it is one important type of the candidate system for secure communication since the reconstruction of accurate state space becomes more difficult. Moreover, we build a hardware circuit and the experimental results effectively confirm the theoretical analyses.

Jerk forms dynamics of a Chua’s family and their new unified circuit implementation

“…In 2018, Munmuangsaen presented the simplest chaotic Jerk circuit [33] that consists of a 5component 5-term single nonlinear circuit containing a single amplifier. Feng et al proposed a three-order Jerk system by introducing a generalized memristive device [34]. Reference [35] proposed a current-tunable chaotic Jerk circuit based on only one unity-gain amplifier.…”

“…Feng et al. proposed a three‐order Jerk system by introducing a generalized memristive device [34]. Reference [35] proposed a current‐tunable chaotic Jerk circuit based on only one unity‐gain amplifier.…”