Fig. 10: Switching between allocentric and egocentric reference frames.
From: Allocentric flocking
Global order (A) and local order (B) in the neural field model, where individuals randomly switch between allocentric and egocentric representations of space, are color plotted as a function of \({h}_{{{{\rm{t}}}}}^{{{{\rm{s}}}}}\) and the probability of being in the egocentric state, ω. A certain rate of random switch between allocentric and egocentric representations can increase global and local order by stabilizing highly ordered collective motion at the expense of reduced complexity of the motion patterns. C, D show snapshots of collective motion close to the maximal order region when individuals possess a purely allocentric representation of space (C) and when they switch at a rate close to the rate leading to maximal order (D). Parameter values: Ns = 100, ν = 0.5, v0 = 0.05, σ = 0.4, hb = 0, N = 80, Δt = 0.3, β = 1000, and L = 1000.
