We have implemented Aplysia R-15 dynamics, a neuron known for its intrinsic bursting activity and neuromodulatory properties, on a digitally programmable, analog, continuous-time neuromorphic emulation platform called NeuroDyn. To achieve this, we extend the dynamic range of NeuroDyn by using the generalized Hodgkin-Huxley (HH) model to incorporate multiple time scales in membrane dynamics and gating variable kinetics. In addition, the multiscale neurodynamics was mapped into the chip via compensating for its nonlinearities, which allowed for accurate mapping of Aplysia R-15 bursting neurodynamics from the software model to its hardware implementation.