Activities

1. Write down the equations of motion.
2. Show that when L goes through 1 a bifurcation happens: the number and stability of fixed points change.
3. Check the previous result in the simulation.
4. Since the oscillations are anisotropic and anharmonic, we expect the orbit to be different from Lissajous curves. Check this around each stable fixed point in the different cases.
5. When L = 1 and the initial horizontal displacement is much greater than the vertical one, which is the oscillation center? Why?