Study of a Chaotic Circuit with a Physical Memristor as a Nonlinear Resistor

In this paper, a novel approach of the KNOWM’s physical memristor behavior is introduced. It has been experimentally observed that this memristor, under certain conditions, can behave as a static nonlinear resistor. This inherent property of the KNOWM’s memristor prompts its use as a nonlinear reistor in chaotic circuits. Therefore, in this work, for the first time, the KNOWM memristor is used as a static nonlinear resistor in a well-known chaotic oscillator circuit. In order to examine circuit’s dynamical behavior a host of nonlinear simulation tools, such as phase portraits, bifurcation and continuation diagrams, as well as maximal Lyapunov exponent diagram, are used. Interesting phenomena related to chaos theory are observed. More specifically, period-doubling route to chaos, crisis phenomena, antimonotonicity, hysteresis and coexisting attractors, are investigated.