Symmetries, non-Euclidean metrics, and patterns in a Swift–Hohenberg model of the visual cortex

Abstract

The aim of this work is to investigate the effect of the shift-twist symmetry on pattern formation processes in the visual cortex. First, we describe a generic set of Riemannian metrics of the feature space of orientation preference that obeys properties of the shift-twist, translation, and reflection symmetries. Second, these metrics are embedded in a… (More)
DOI: 10.1007/s00422-008-0238-9

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