Fig. 9: Collective behavior in the neural field model.
From: Allocentric flocking
A, B Global order (GO in A), defined as the angular order parameter (AOP), and Local Order (LO in B), defined as the topological vectorial order parameter (VOP), in groups of 80 agents with an egocentric representation of space are color plotted as a function of the network inverse temperature, β, and total social attraction, \({h}_{{{{\rm{t}}}}}^{{{{\rm{s}}}}}\). Both local and global order remain small, indicating collective movement is not observed with an egocentric representation of space. C, D The same quantities for an allocentric representation of space are plotted. Similarly to the spin system model, the system shows disordered motion for small \({h}_{{{{\rm{t}}}}}^{{{{\rm{s}}}}}\), collective motion with high local and global order, and aggregation phase with low global but high local order. Parameter values: Ns = 100, ν = 0.5, v0 = 0.05, σ = 0.4, hb = 0, N = 80, Δt = 0.3, and L = 1000.
