Bifurcation Analysis of a Silicon Neuron

Part of Advances in Neural Information Processing Systems 12 (NIPS 1999)

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Girish Patel, Gennady Cymbalyuk, Ronald Calabrese, Stephen DeWeerth


We have developed a VLSI silicon neuron and a corresponding mathe(cid:173) matical model that is a two state-variable system. We describe the cir(cid:173) cuit implementation and compare the behaviors observed in the silicon neuron and the mathematical model. We also perform bifurcation analy(cid:173) sis of the mathematical model by varying the externally applied current and show that the behaviors exhibited by the silicon neuron under corre(cid:173) sponding conditions are in good agreement to those predicted by the bifurcation analysis.