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

Autor:	Fitch, Noah J., Weidner, Carrie A., Parazzoli, L. Paul, Dullin, H. R., Lewandowski, Heather J.
Rok vydání:	2009
Předmět:	Physics - Atomic Physics Physics - Classical Physics
Zdroj:	Phys. Rev. Lett. 103, 034301 (2009)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.103.034301
Popis:	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. Comment: 5 pages, accepted to PRL
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0906.2941 Zobrazit plný text záznamu View this record from Arxiv