Comparison of the Muthuswamy-Chua circuit behavior with two different models

In this paper, we have learned about the memristor in a simple way from previous studies. Here, we introduce it into a simple circuit, which is the Muthuswamy- Chua circuit, which consists of a resistor, an inductor, and a nonlinear element that we will replace with the memristor. We will know the mathematical relationships using dimensionless equations, as we use two different formulas for the memristor. To compare the two formulas and know which formula is better in producing chaos and which is better in stability, we use branching diagrams, time series, and phase diagrams. We find chaotic behavior, fractals, and also the periodic binary and tri-periodic binary of the two formulas.