Figure 5a: The first principal component captures all relevant endcap rotational dynamics. The spatiotemporal dynamics of the normal form model were indistinguishable from experimental measurements projected onto the first principal component. The best nonlinear least squares fit for the relationship between range of endcap rotation vs. Fs along the first principal components is nearly identical to model prediction for a subcritical pitchfork bifurcation (Fig. 3). The low R2 means that the system is very noisy.
Figure 5b: The independence of the dynamics (range of endcap rotation) from Fs (slope indistinguishable from 0) along the second principal component further supports our model rationale since it indicates that all relevant endcap rotational dynamics were captured by the first principal component and the second component provides no additional information.