(a) Schematic depiction of the network model. Each shaded disk corresponds to one unit in the network. The direction of the blue and red arrows within each disk represents the neurons preferred direction during preparatory () and execution () epochs, respectively, while the thickness of the arrows represents the degree of participation () in these epochs. The orange arrows show the strength of synaptic connectivity (defined by equation 5) between units. It contains both a symmetric component, that depends on the distance between preferred directions of pre and post-synaptic neurons separately for the two epochs (see strong connections between the two top left neurons), and an asymmetric component that depends on the distance between the preferred preparatory direction of the pre-synaptic neuron and the preferred execution direction of the post-synaptic one (see connections between bottom right neurons). (b) Spatially localized activity of the network at a given time , shown in three different 2-dimensional subspaces of the 4-dimensional selectivity space. Left: activity plotted on map A () at fixed . Center: activity plotted on map B () at fixed . Right: activity plotted as a function of , at fixed . (c) Network activity at a given time , plotted as a function of , at fixed and for different values of . (d) Network activity at a given time , plotted as a function of , at fixed and for different values of .