Plot three-dimensional and two-dimensional Poincar sections of the Toda Hamiltonian given by H = p2 1 2

Plot three-dimensional and two-dimensional Poincaré sections of the Toda Hamiltonian given by H =

p2 1

2 +

p2 2

2 +

e2q2+2√3q1 24 +

e2q2−2√3q1 24 +

e−4q2 24 −

1 8

, for several different energy levels of your choice.