Monodromy in the resonant swing spring
| dc.creator | Dullin, H. R. | |
| dc.creator | Giacobbe, A. | |
| dc.creator | Cushman, R. | |
| dc.date | 2002-12-22 | |
| dc.date.accessioned | 2026-07-07T05:34:28Z | |
| dc.date.available | 2026-07-07T05:34:28Z | |
| dc.description | This paper shows that an integrable approximation of the spring pendulum, when tuned to be in $1:1:2$ resonance, has monodromy. The stepwise precession angle of the swing plane of the resonant spring pendulum is shown to be a rotation number of the integrable approximation. Due to the monodromy, this rotation number is not a globally defined function of the integrals. In fact at lowest order it is given by $\arg(a+ib)$ where $a$ and $b$ are functions of the integrals. The resonant swing spring is therefore a system where monodromy has easily observed physical consequences. | |
| dc.description | 30 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0212048 | |
| dc.identifier | http://arxiv.org/abs/nlin/0212048 | |
| dc.identifier | Physica D, 190:15--37, 2004. | |
| dc.identifier | doi:10.1016/j.physd.2003.10.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80383 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Monodromy in the resonant swing spring | |
| dc.type | text |