Bifurcation analysis in a silicon neuron
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In this paper, we describe an analysis of the nonlinear dynamical phenomenon associated with a silicon neuron. Our silicon neuron in Very Large Scale Integration (VLSI) integrates Hodgkin–Huxley (HH) model formalism, including the membrane voltage dependency of temporal dynamics. Analysis of the bifurcation conditions allow us to identify different regimes in the parameter space that are desirable for biasing our silicon neuron. This approach of studying bifurcations is useful because it is believed that computational properties of neurons are based on the bifurcations exhibited by these dynamical systems in response to some changing stimulus. We describe numerical simulations of the Hopf bifurcation which is characteristic of class 2 excitability in the HH model. We also show experimental measurements of an observed phenomenon in biological neurons and termed excitation block, firing rate and effect of current impulses. Hence, by showing that this silicon neuron has similar bifurcations to a certain class of biological neurons, we can claim that the silicon neuron can also perform similar computations.
KeywordsSilicon neuron Hopf bifurcation Hodgkin–Huxley equations Neuromorphic engineering
This project was partly supported by funding under the Seventh Research Framework Program of the European Union FP7-PEOPLE-ITN-2008 under the Grant no 237955 (FACETS-ITN) and FP7-FET-Proactive under the Grant no 269921 (BrainScales).
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