Fig. 7: Example time series and corresponding fluctuation spectra for illustration.
From: Fluctuation spectra of large random dynamical systems reveal hidden structure in ecological networks
Left panels: Examples of stochastic trajectories with 0 means indicated by solid lines and the standard deviations indicated by dashed lines. Insets show the same trajectories over a smaller time-window. Right panels: Corresponding power-spectral densities of the trajectories in the left hand panels. Insets show histograms of the corresponding stochastic trajectories, overlaid by the theoretical stationary distribution (black dashed line). Bottom panel: The temporal autocorrelation of the stochastic trajectories in the left hand panels can be obtained as the Fourier transform of the corresponding power spectra in the right hand panels.
