Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System
| dc.creator | Fassò, Francesco | |
| dc.creator | Giacobbe, Andrea | |
| dc.date | 2007-03-22 | |
| dc.date.accessioned | 2026-07-07T09:34:36Z | |
| dc.date.available | 2026-07-07T09:34:36Z | |
| dc.description | Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifibrated geometry in dynamical systems with a symmetry group such that the reduced dynamics is periodic. The integrability of such systems has been proven by M. Field and J. Hermans with a reconstruction technique. We apply the result to the nonholonomic system of a ball rolling on a surface of revolution. | |
| dc.description | This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/math/0703665 | |
| dc.identifier | http://arxiv.org/abs/math/0703665 | |
| dc.identifier | SIGMA 3 (2007), 051, 12 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159550 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System | |
| dc.type | text |