Phase-lags in large scale brain synchronization: Methodological considerations and in-silico analysis
Fig 5
Delay-coupled heterogeneous oscillators with homogeneous bimodal-δ delays.
Synchronization at frequency (A) Ω < μ and (B) Ω > μ. (a, b, e, f) Relative phases ϕi(t) of the synchronized and two unsynchronized oscillators (black) closest to the limits Ω ± Kr cos ΩΔτ. For comparison ±(Ω − μ)t are shown with dashed lines. Oscillators with (a, e) ωi < Ω and (b, f) ωi > Ω. (c, g) Geometric representation of ϕi of the synchronized oscillators (different shades of red diamonds for ωi < Ω and blue circles for ωi > Ω) at the end of the simulations. Limits and
are dashed red. The arrows show the complex order parameter (black), angles Ωτ1,2 (blue), and
and ΩΔτ (red). (d, h) PDF of the natural frequencies, the frequency Ω (black vertical line), and the limits of synchronization Ω ± rK cos ΩΔτ (red). Entrained (blue and red) and the first two un-synchronized (black) oscillators are consistent across the plots, and the rest are green. Parameters: Number of oscillators: N = 300, Lorentzian natural frequencies with μ = 1Hz and γ = 1 (A) τ = [0.02, 0.37]s, K = 6, (B) τ = [0.07, 0.63]s, K = 8.