Fig. 5: Reduced model of the inverted flag experiment.
From: Globalizing manifold-based reduced models for equations and data
a Experimental setup of the inverted flag and snapshot of the experiment (b), courtesy of Giovanni Berti. The geometric parameters are H = 150 mm, L = 150 mm, U = 1m/s. c Phase portrait of the gSSM-reduced dynamics of the inverted flag obtained from the [5/5](η) approximation. The unstable fixed points are marked with colored dots. Blue curves denote the stable manifold of the undeflected state, which connects to the two coexisting deflected fixed points. The red curve denotes the unstable manifold of the saddle, which wraps around the stable limit cycle. d, e Predictions of the reduced model on test trajectories. The black curve is the true trajectory, and the dotted orange curve is the gSSM prediction.
