Fig. 2: Individual motion.

A–C The network activity as a function of time (i) and the resulting trajectories for egocentric ii and allocentric iii representation of space, for increasing values of β from the disordered phase (small β, A) to the ordered phase (large β, C) are shown. In the disordered phase, the agent exhibits a random walk, and no difference between an allocentric and an egocentric representation of space is observed (A). As β increases, differences become apparent. An egocentric representation of space results in a more meandering motion (ii), and an allocentric representation leads to a more directed motion (iii). For larger values of β, corresponding to the highly ordered network activity (C), motion patterns with an egocentric representation of space correspond to circular orbits (ii), and for an allocentric representation, correspond to a straight line (iii). Parameter values: v₀ = 10, σ = 2π/N_s, h₀ = 0, h_b = 0, L = 1000, and N_s = 100.