MOSAIC SOLUTIONS AND SPATIAL ENTROPY FOR A CLASS OF NEURAL NETWORK MODELS
Barbara Jennings, Erik S. Van Vleck · International Journal of Bifurcation and Chaos · 2000
In this article, we present a lattice differential equation model for a class of neural networks. A subset of the equilibrium solutions called mosaic equilibrium solutions is defined. Existence and stability theorems are proved for mosaic equilibrium solutions. Regions of stability are defined and spatial entropy calculations, as a measure of the complexity of the system, are presented that give insights into the effects of spatial coupling.