The comparison of the memristor to the biological synapse has motivated the introduction of memristors to biomimetic circuits such as Central Pattern Generators (CPGs) and Half Center Oscillators (HCOs). The effects of the utilization of memristors in such systems have been investigated in this work. The HCO is a neural oscillator, and the CPG is made up of 4 HCOs producing oscillations corresponding to the locomotion of a 4‐limbed animal. Analog HCO and CPG circuits have been simulated using the Cadence Virtuoso platform and effects of using current‐driven and voltage‐driven memristors in different configurations with different parameters have been analyzed. Improvement in the stability of rhythm and variations in oscillation amplitudes have been observed.