A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach

As one of adaptive lattice dynamics, a nonlinear dynamical model with threshold activated coupling has been proposed by S. Sinha since 1994. In this model, each lattice site performs an arbitrary nonlinear transformation and thresholding. The excess of an output over the threshold is transported to the neighboring lattice site(s). This dynamics generates various spatiotemporal patterns. S. Sinha, et al. have also proposed the applications of this model to computing using nonlinear dynamics. In this paper, we propose a CMOS LSI chip designed using a pulse modulation approach for this model. The chip includes 30×30 nonlinear-map element circuits, each of which corresponds to a lattice site. The measurement results using the fabricated LSI chip demonstrate that the designed circuit successfully performs arbitrary nonlinear transformation and thresholding.