Fig. 3.

Stable spirals are most prevalent for local dynamics with one isolated fixed-point. A) Left panel: Number of iterations resulting in local dynamics with stable and unstable spirals. Right panel: 1-SSIM for both types of local dynamics. B) Examples of phase spaces with each type of local dynamics. Note that the unstable spiral is surrounded by a limit cycle (attractor consisting of a periodic trajectory). C) Scatter plot of the imaginary vs. real eigenvalues of the fixed-point, where each point corresponds to an independent iteration of the model. The vertical line of null real eigenvalues determines the stability of the spiraling solution.