Pinwheel stability, pattern selection and the geometry of visual space

Details Pinwheel stability, pattern selection and the geometry of visual space Pinwheel stability, pattern selection and the geometry of visual space

2008-01-24

arxiv.org/abs/0801.3832v2

Biology

Quantitative Biology

Neurons and Cognition

5 pages, 5 figures

Scientific paper

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.

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