Quasi-integrability in a class of systems generalizing the problem of two fixed centers
| dc.creator | Albouy, A. | |
| dc.creator | Stuchi, T. J. | |
| dc.date | 2002-10-09 | |
| dc.date | 2002-10-09 | |
| dc.date.accessioned | 2026-07-07T05:34:21Z | |
| dc.date.available | 2026-07-07T05:34:21Z | |
| dc.description | The problem of two fixed centers is a classical integrable problem, stated and integrated by Euler in 1760. The integrability is due to the unexpected first integral $G$. Some straightforward generalizations of the problem still have the generalization of $G$ as a first integral, but do not possess the energy integral. We present some numerical integrations suggesting that in the domain of bounded orbits the behavior of these {\it a priori} non hamiltonian systems is very similar to the behavior of usual quasi-integrable systems. | |
| dc.description | 4, 14, typos added | |
| dc.identifier | https://arxiv.org/abs/nlin/0210020 | |
| dc.identifier | http://arxiv.org/abs/nlin/0210020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80336 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Quasi-integrability in a class of systems generalizing the problem of two fixed centers | |
| dc.type | text |