Two-Dimensional Piecewise-Linear Neuron Model

This brief presents a novel two-dimensional (2D) piecewise-linear neuron model to characterize the firing activities of a tabu learning neuron. The neuron model has an alterable equilibrium, and its bifurcation mechanism is effectively analyzed by employing an approximate scheme. Coexisting bi-stable firing patterns are revealed and parameter-related neuron firing activities are demonstrated by several numerical methods. Finally, based on the standard components, an analog electronic neuron circuit is implemented to verify the coexisting bi-stable firing patterns. The presented neuron model with an extremely simple algebraic equation and circuit structure can be taken as a core cell for applications to large-scale neuromorphic circuits.