Spatiotemporal dynamics and reliable computations in recurrent spiking   neural networks
  Randomly connected networks of excitatory and inhibitory spiking neurons provide a parsimonious model of neural variability, but are notoriously unreliable for performing computations. We show that this difficulty is overcome by incorporating the well-documented dependence of connection probability on distance. Spatially extended spiking networks exhibit symmetry-breaking bifurcations and generate spatiotemporal patterns that can be trained to perform dynamical computations. 
Ryan Pyle and Robert Rosenbaum
q-bio.NC