A Hindmarsh and Rose-based electronic burster

The design of an electronic oscillator based on the Hindmarsh and Rose model of bursting neurons is presented. Because of hardware area requirements, the original model is reduced to a system of two coupled differential equations by means of a hysteresis function. The phase plane analysis of the Hindmarsh and Rose model emphasizes the dynamical properties underlying the bursts generation. These fundamental properties have guided the analogue design of the electronic burster. Spice simulations show great similarities in the behavior of the original model and this bio-inspired circuit.