Fig 8. Coherent chaos along multiple modes.

(A) Schematic of network with three coherent modes displaying effective output modes, ν^(k), and input modes, ξ^(k), each of which are orthogonal to all others. (B) Matrix of Pearson correlation coefficients between firing rates, ϕ_i, of pairs of neurons in a network with three coherent modes and J₁ = 1. (C) Sample activity trace displaying sample single neuron activities and in thicker lines, three coherent mode activities, ${\overline{\varphi }}^{\left(k\right)}$. (D) Generalized coherence, χ^(k), as a function of J₁ for 2,3,4 modes in the regime of passive coherence. Dashed line displays theory. (E) Sample activity traces display extreme coherence for two coherent modes. (F) Generalized coherence for two coherent modes with row balance random connectivity (in blue) as a function of J₁ extends to near complete coherence, while chaos persists. Compare network with one coherent mode (in black dashed line). Bar shows standard deviation over 100 realizations. For panels (B), (C), (E) N = 2000. For panels (D) and (F) N = 4096.