The nature of manifolds of periodic points for higher dimensional integrable maps
| dc.creator | Saito, Satoru | |
| dc.creator | Saitoh, Noriko | |
| dc.date | 2005-08-31 | |
| dc.date | 2005-12-22 | |
| dc.date.accessioned | 2026-07-07T06:42:19Z | |
| dc.date.available | 2026-07-07T06:42:19Z | |
| dc.description | By studying periodic points for rational maps on $\bm{C}^d$ with $p$ invariants, we show that they form an invariant variety of dimension $p$ if the periodicity conditions are `fully correlated', and a set of isolated points if the conditions are `uncorrelated'. We present many examples of the invariant varieties in the case of integrable maps. Moreover we prove that an invariant variety and a set of isolated points do not exist in one map simultaneously. | |
| dc.description | 18 pages, content changed to improve | |
| dc.identifier | https://arxiv.org/abs/math-ph/0508063 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0508063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101997 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The nature of manifolds of periodic points for higher dimensional integrable maps | |
| dc.type | text |