A novel 4D Lorenz-like chaotic system and oscillator circuit with a simple diode-based memristor emulator

Abstract

In this work, a diode-based memristor emulator circuit is given, which is constructed by using two antiparallel connected diodes, a grounded resistor and a grounded capacitor. The mathematical model of the memristor is discovered. The circuit features simple topological structure and fundamental electrical circuit elements, making it suitable for use with integrated circuit techniques and easily adaptable to various application circuits. Results from PSPICE simulations and physical experiment show that the circuit works as a memristor. This paper also presents a novel Lorenz-like chaotic system in four dimensions (4D) using the diode-based memristor emulator and discusses several dynamical properties of the systems, including phase portraits, stability, Lyapunov exponent, bifurcation, dissipativity, sensitivity, and sample entropy. It is observed that the proposed dynamical system exhibits hyperchaotic behavior as it has multiple positive Lyapunov exponents in a wide range. The proposed 4D novel Lorenz-like chaotic system is validated both by MATLAB and PSPICE simulations, and analog circuit experiments.