Figure 8
From: Controlling the motion of gravitational spinners and waves in chiral waveguides
Class 2(a) examples. (a) Cusp trajectory of the gyropendulum and (b) the function \(H(\tilde{t})\) with \(\Gamma =2.8\) and initial conditions \(\tilde{U}_0 =2\), \(\tilde{V}_0 = 3\), \(\dot{\tilde{U}}_0 =1\), \(\dot{\tilde{V}}_0 = -2\). The condition for cusps is satisfied with \(H(0)=-\Gamma |\dot{\tilde{{\textbf {Q}}}}(0)|^2/2=-7\). Here \(H(\tilde{t})\le 0.\) (c) Cusp trajectory of the gyropendulum and (d) the function \(H(\tilde{t})\) with \(\Gamma =-0.4\) and initial conditions \(\tilde{U}_0 =2\), \(\tilde{V}_0 = 3\), \(\dot{\tilde{U}}_0 =1\), \(\dot{\tilde{V}}_0 = 2\). The condition for cusps is satisfied with \(H(0)=-\Gamma |\dot{\tilde{{\textbf {Q}}}}(0)|^2/2=1\). Here \(H(\tilde{t})\ge 0\).
