Bloch waves, periodic feature maps and cortical pattern formation

Perturbation methods are used to solve the eigenvalue problem for cortical pattern formation in the presence of long-range neural connections. Such connections have a crystalline-like structure that breaks Euclidean symmetry to the discrete symmetry of a planar lattice group. Conditions for marginal stability are derived with the associated eigenmodes identified as Bloch waves.


University of Utah | Department of Mathematics |
bressloff@math.utah.edu
Aug 2001.