A Novel Asynchronous CA Neuron Model: Design of Neuron-Like Nonlinear Responses Based on Novel Bifurcation Theory of Asynchronous Sequential Logic Circuit
Kentaro Takeda, Hiroyuki Torikai
Abstract
This paper presents a novel asynchronous sequential logic circuit neuron model, the nonlinear dynamics of which is described by an asynchronous cellular automaton. As a novel theoretical analysis tool for the model, a continuous-discrete hybrid Poincare map is derived. The map reveals that the presented model can reproduce fundamental dynamic properties and typical bifurcation mechanisms of a biologically plausible neuron model. Using the bifurcation analysis results, systematic design methods of the presented model are proposed. It is shown that the design methods enable the presented model to reproduce typical nonlinear response curves of neurons as well as their underlying bifurcation mechanisms. In addition, the model is implemented in a field programmable gate array and experiments validate its operation. It is shown that the presented model can be implemented by fewer circuit elements and consumes lower power compared to typical conventional neuron models.