Bursting through interconnection of excitable circuits

We outline the methodology for designing a bursting circuit with robustness and control properties reminiscent of those encountered in biological bursting neurons. We propose that this design question is tractable when addressed through the interconnection theory of two excitable circuits, realized solely with first-order filters and sigmoidal I-V elements. The circuit can be designed and controlled by shaping its I-V curves in the relevant timescales, giving a novel and intuitive methodology for implementing single neuron behaviors in hardware.