Derivation of Invariant Varieties of Periodic Points from Singularity Confinement in the case of Toda Map

Autor:	Satoru Saito, Tsukasa Yumibayashi, Yuki Wakimoto
Jazyk:	angličtina
Rok vydání:	2011
Předmět:	Physics High Energy Physics - Theory Pure mathematics Singularity High Energy Physics - Theory (hep-th) General Physics and Astronomy FOS: Physical sciences Mathematical Physics (math-ph) Invariant (mathematics) Computer Science::Databases Mathematical Physics
Popis:	In our previous work we have shown that the invariant varieties of periodic points (IVPP) of all periods of the 3 dimensional Lotka-Volterra map can be derived, iteratively, from the singularity confinement (SC). The method developed there can be applied to any integrable maps of dimension $d$ only when the number of the invariants $p$ equals to $d-1$. We propose, in this note, a new algorithm of the derivation which can be used in the cases ${d\over 2}\le p\le d-2$. Applying this algorithm to the 3 point Toda map, we derive a series of its IVPP's. 11pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10ba6dfa1f2763b3fa9c16e677454855 http://arxiv.org/abs/1107.1832 Zobrazit plný text záznamu