Inflation of Hamiltonian System: The Spinning Top in Projective Space
| dc.creator | Dullin, Holger R. | |
| dc.date | 1996-04-26 | |
| dc.date.accessioned | 2026-07-07T09:07:55Z | |
| dc.date.available | 2026-07-07T09:07:55Z | |
| dc.description | We present a method to enlarge the phase space of a canonical Hamiltonian System in order to remove coordinate singularities arising from a nontrivial topology of the configuration space. This ``inflation'' preserves the canonical structure of the system and generates new constants of motion that realize the constraints. As a first illustrative example the spherical pendulum is inflated by embedding the sphere $S^2$ in the three dimensional Euclidean space. The main application which motivated this work is the derivation of a canonical singularity free Hamiltonian for the general spinning top. The configuration space $SO(3)$ is diffeomorphic to the real projective space $\RP^3$ which is embedded in four dimensions using homogenous coordinates. The procedure can be generalized to $SO(n)$. | |
| dc.description | 6 pages, LaTex | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9604015 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9604015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150536 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Inflation of Hamiltonian System: The Spinning Top in Projective Space | |
| dc.type | text |