Model approach of piezoelectric membrane for a two-capacitive neuron, and dynamics

This paper presents a detailed analysis of a novel neuron model that contains two capacitive variables derived from the output voltages for two capacitors, which are filled with piezoelectric materials. The study specifically investigates the impact of the bi-capacitor configuration and the elasticity parameter on the dynamic behavior of the system during pressure encoding. By leveraging perturbation theory and conducting an extensive bifurcation analysis, we explore how the bi-capacitor configuration and variations in the elasticity of embedded piezoelectric materials influence the system’s stability and responsiveness. The results indicate that the bi-capacitor configuration plays a crucial role in modulating the firing rate and the Hamilton energy of the system, further influencing its dynamic behavior. Additionally, smaller elasticity thresholds tend to stabilize the system, while larger threshold values lead to enhanced sensitivity and chaotic behavior. Interestingly, a non-monotonic relationship between the threshold and the system’s dynamic range emerges, suggesting that intermediate threshold values optimize the system’s performance.These findings have significant implications for the design and optimization of neuron circuits in both biological and engineering applications.