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Title:Symmetries, non-Euclidean metrics, and patterns in a Swift-Hohenberg model of the visual cortex
Authors: Michael N. Mayer ; Matthew Browne ; Michael Herrmann ; Minoru Asada
Date:Jun 2008
Publication Title:Biological Cybernetics
Publisher:Springer Berlin / Heidelberg
Publication Type:Journal Article Publication Status:Published
Volume No:99 Page Nos:63-78
DOI:10.1007/s00422-008-0238-9 ISBN/ISSN:0340-1200
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 modified Swift-Hohenberg model. As a result we get a pattern formation process that resembles the pattern formation process in the visual cortex. We focus on the final stable patterns that are regular and periodic. In a third step we analyze the influences on pattern formation using weakly nonlinear theory and mode analysis. We compare the results of the present approach with earlier models.
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Bibtex format
author = { Michael N. Mayer and Matthew Browne and Michael Herrmann and Minoru Asada },
title = {Symmetries, non-Euclidean metrics, and patterns in a Swift-Hohenberg model of the visual cortex},
journal = {Biological Cybernetics},
publisher = {Springer Berlin / Heidelberg},
year = 2008,
month = {Jun},
volume = {99},
pages = {63-78},
doi = {10.1007/s00422-008-0238-9},

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