English

Pinwheel stability, pattern selection and the geometry of visual space

Neurons and Cognition 2008-01-30 v2 Pattern Formation and Solitons Biological Physics

Abstract

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.

Cite

@article{arxiv.0801.3832,
  title  = {Pinwheel stability, pattern selection and the geometry of visual space},
  author = {Michael Schnabel and Matthias Kaschube and Fred Wolf},
  journal= {arXiv preprint arXiv:0801.3832},
  year   = {2008}
}

Comments

5 pages, 5 figures

R2 v1 2026-06-21T10:06:16.199Z