title: Experimental demonstration of classical Hamiltonian monodromy in the 1:1:2 resonant elastic pendulum.
abstract: The 1:1:2 resonant elastic pendulum is a simple classical system that displays the phenomenon known as Hamiltonian monodromy. With suitable initial conditions, the system oscillates between nearly pure springing and nearly pure elliptical-swinging motions, with sequential major axes displaying a stepwise precession. The physical consequence of monodromy is that this stepwise precession is given by a smooth but multivalued function of the constants of motion. We experimentally explore this multivalued behavior. To our knowledge, this is the first experimental demonstration of classical monodromy.
authors: JILA and Department of Physics, University of Colorado, Boulder, Colorado 80309-0440, USA.
authors: N J
authors: NJ
authors: Fitch
authors: C A
authors: CA
authors: Weidner
authors: L P
authors: LP
authors: Parazzoli
authors: H R
authors: HR
authors: Dullin
authors: H J
authors: HJ
authors: Lewandowski