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Informatics Report Series
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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
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| Date:Jun 2008 |
| Publication Title:Biological Cybernetics |
| Publisher:Springer Berlin / Heidelberg |
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Publication Type:Journal Article
Publication Status:Published
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Volume No:99
Page Nos:63-78
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DOI:10.1007/s00422-008-0238-9
ISBN/ISSN:0340-1200
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- Abstract:
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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.
- Links To Paper
- No links available
- Bibtex format
- @Article{EDI-INF-RR-1265,
- 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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