Phys. Rev. Lett. 103, 034301 (2009) [4 pages]Experimental Demonstration of Classical Hamiltonian Monodromy in the 1∶1∶2 Resonant Elastic Pendulum
See accompanying Physics Synopsis 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.034301
DOI:
10.1103/PhysRevLett.103.034301
PACS:
45.05.+x, 02.30.Ik, 45.50.−j
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