Space of initial values of a map with a quartic invariant

Autor:	Gubbiotti, G., Joshi, N.
Rok vydání:	2020
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics 14E05 14E15 14H70 14J17 37F10 39A10
Druh dokumentu:	Working Paper
Popis:	We compactify and regularize the space of initial values of a planar map with a quartic invariant and use this construction to prove its integrability in the sense of algebraic entropy. The system turns out to have certain unusual properties, including a sequence of points of indeterminacy in $\mathbb P^1\cross \mathbb P^1$. These indeterminacy points are shown to lie on a singular fibre of the mapping to a corresponding QRT system and provide the existence of a one-parameter family of special solutions. Comment: 10 pages, 1 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.10089 Zobrazit plný text záznamu View this record from Arxiv