The idea of this animation is to give an example of Liouville’s theorem in phase space. I’m using a Hamiltonian suggested by Josh in the Portland Math and Science Group: $latex H=\sin(p) + \sin(x)$ Leading to the update equations: $latex \dot{x}=\frac{\partial H}{\partial p}=\cos(p)$ $latex \dot{p} = -\frac{\partial H}{\partial x}=-\cos(x)$ This Hamiltonian is not intended to … Read more