Memristor-coupled circuits for neurons without capacitive variable

Abstract

A capacitor can fit the capacitive property of the cell membrane, and it becomes an important electronic component for building neural circuits. Within this study, a simple neural circuit is proposed without using capacitor, while two inductors are connected with a memristor in parallel. Applying external stimulus can excite the neural circuit for presenting various firing patterns. A new scale transformation for reference time is suggested for obtaining an equivalent memristive neuron as a nonlinear oscillator. Energy function and stability are discussed in theoretical way, and numerical results are carried for detecting coherence resonance under noisy disturbance. It provides clues to design reliable neural circuits when capacitor is not available or breakdown in the capacitor occurs.