Implementation of a memristor-based 4D chaotic oscillator and its nonlinear control

In this study, an electronic model of a memristive-based 4D autonomous chaotic system with a line equilibrium is proposed. A memristor offers many advantages because of its superior properties for improving different circuits, e.g., chaotic circuits and systems. In particular, its nonlinearity and nonvolatile behavior provide a unique opportunity to design chaotic circuits. Therefore, we designed a flux-controlled memristor-based 4D autonomous chaotic system having a line equilibrium. The fundamental dynamical properties of the system are demonstrated with regards to equilibrium, Jacobian matrices, Lyapunov exponents, and bifurcation behavior. A nonlinear controller based on the Lyapunov stability method was also designed to control the novel system. Furthermore, it is controlled by only one state controller. As was expected, both theoretical and simulation results of the 4D chaotic oscillator were in good agreement with the experimental results. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.