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The 1:1:2 resonant elastic pendulum is a simple classical system thatdisplays the phenomenon known as Hamiltonian monodromy. With suitable initialconditions, the system oscillates between nearly pure springing and nearly pureelliptical-swinging motions, with sequential major axes displaying a stepwiseprecession. The physical consequence of monodromy is that this stepwiseprecession is given by a smooth but multivalued function of the constants ofmotion. We experimentally explore this multivalued behavior. To our knowledge,this is the first experimental demonstration of classical monodromy.

Experimental demonstration of classical Hamiltonian monodromy in the 1:1:2 resonant elastic pendulum