Figure 7
From: Controlling the motion of gravitational spinners and waves in chiral waveguides

Class 1 example. Gyropendulum trajectory with \(\Gamma =0.5\) and initial conditions \(\tilde{U}_0 = 1\), \(\tilde{V}_0 = -1\), \(\dot{\tilde{U}}_0 = 2\), \(\dot{\tilde{V}}_0 = -5\). (a) The self-intersecting trajectories around the origin of variable orientation. (b) The corresponding function \(H(\tilde{t})\). Here the calculated class values are \(M=-7.25\), \(N=0.5\) and \(H(0)=-3\) in accordance with (36).