  Neuron is a noisy information processing unit and conventional view is that
information in the cortex is carried on the rate of neurons spike emission.
More recent studies on the activity propagation through the homogeneous network
have demonstrated that signals can be transmitted with millisecond fidelity;
this model is called the Synfire chain and suggests the possibility of the
spatio-temporal coding. However, the more biologically realistic, structured
feedforward network generates spatially distributed inputs. It results in the
difference of spike timing. This poses a question on how the spatial structure
of a network effect the stability of spatio-temporal spike patterns, and the
speed of a spike packet propagation. By formulating the Fokker-Planck equation
for the feedforwardly coupled network with Mexican-Hat type connectivity, we
show the stability of localized spike packet and existence of Multi-stable
phase where both uniform and localized spike packets are stable depending on
the initial input structure. The Multi-stable phase enables us to show that a
spike pattern, or the information of its own, determines the propagation speed.
