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.