Figure 10
(Color online) Synchronized spatial dynamics of the unidirectionally synaptically coupled spiking neurons [Eq. (
31)]. (a) Individual time-averaged spiking frequencies
(average number of spikes per second) for the coupling strength
and for different initial conditions leading to different numbers of traveling firing fronts on the ring
(in-phase synchronization, red squares),
(green diamonds), and
(blue triangles) as indicated in the legend. A negative value in the latter case means that the traveling fronts move in the direction opposite to the direction of coupling in the ensemble. Uncoupled neurons
fire at different spiking frequencies (black circles). (b) Raster plot of the neuronal firing, where the onsets of spikes are indicated by symbols corresponding to those in plot (a) (see legend): asynchronous firing (
, uniformly distributed black circles), in-phase synchronization (
,
, red squares arranged along vertical lines), two firing fronts propagating in the direction of the coupling (
,
, green diamonds arranged along lines with negative slope), and two firing fronts propagating in opposite direction of the coupling (
,
, blue triangles arranged along lines with positive slope). (c) Synchronized spiking frequencies of stable traveling
-front solutions versus the relative number
of the firing fronts. The coupling strength is indicated in the legend. (d) Traveling time of a complete rotation of the firing fronts along the ring of neurons. Same coloring as in plot (c). Number of oscillators
and delay
.
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