Abstract
It is known that an abstract model with linear and distance-dependent interactions can develop a topographic connection structure in an input-output two-layer system. We expand the model by reflecting the effects of correlations between propagating neural firings and investigate the emergent properties in the resulting nonlinear model. It is found that the output layer can separate into several ones between which topographic connections develop. This result shows that hierarchically differentiated cortical sections, developing on a lattice structure, can regulate their boundary through Hebbian plasticity. We further argue that the phenomenon of cortical area differentiation can be described as a kind of phase transition.
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