Dynamical behaviors of a multifunctional neural circuit

Abstract Biological neurons exhibit a double-membrane structure and perform specialized functions. Constructing artificial neurons with a double-membrane architecture to mimic biological neuronal functionality presents an intriguing research challenge. In this study, we propose a multifunctional neural circuit composed of two capacitors, two linear resistors, a phototube cell, a nonlinear resistor, and a memristor. The phototube and charge-controlled memristor serve as sensors for external light and electric field signals, respectively. Using Kirchhoff’s and Helmholtz’s laws, we derive the nonlinear dynamical equations and energy function of the system. Furthermore, we analyze the dynamical behaviors of the neural circuit through nonlinear dynamics methods. Our results demonstrate that this circuit can generate both periodic and chaotic patterns under external light and electric field stimulation.