Hamiltonian phase space#
Phase-space structure: KAM torus breakdown in the non-integrable
Henon-Heiles system, Liouville’s theorem via a sheared swarm of
pendulums, action-angle variables for the simple pendulum, and
Hamilton’s unified (q, p) canonical phase space itself, shared by a
librating and a rotating pendulum.
The Henon-Heiles system: Poincare sections and KAM torus breakdown
The Henon-Heiles system: Poincare sections and KAM torus breakdown