Pinwheel stability, pattern selection and the geometry of visual space

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Schnabel, Michael
Kaschube, Matthias
Wolf, Fred
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Abstract
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It has been proposed that the dynamical stability of topological defects in the visual cortex reflects the Euclidean symmetry of the visual world. We analyze defect stability and pattern selection in a generalized Swift-Hohenberg model of visual cortical development symmetric under the Euclidean group E(2). Euclidean symmetry strongly influences the geometry and multistability of model solutions but does not directly impact on defect stability.
Comment: 5 pages, 5 figures
Keywords
Quantitative Biology - Neurons and Cognition, Nonlinear Sciences - Pattern Formation and Solitons, Physics - Biological Physics
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