Mapping of one-dimensional Josephson junction arrays onto cellular neural networks

Abstract

In this paper it is shown that one-dimensional Josephson junction arrays can be mapped onto Cellular Neural Networks under some restrictions. Analytic expressions to the stability of equilibria of these arrays are derived and applied to the behavior of vortex solutions. Relations between these static solutions and a particular solution of a partial differential equation are shown.

On the Periodic Solutions in One Dimensional Cellular Nonlinear Networks Based on Josephson Junctions (JJ's)

“…In [1] and [2] authors show that one-dimensional array of JJ's come very close to the CNN paradigm, therefore, these arrays are suitable for modeling and simulating with CNN's. They consider the dynamics of one-dimensional JJ7s array, stability of equilibrium states and show the dependence of the stability on the coupling parameter.…”