Autor:	Gubbiotti, G., Joshi, N., Tran, D. T., Viallet, C-M.
Rok vydání:	2018
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems 37F10 14J30
Druh dokumentu:	Working Paper
Popis:	In this letter we give fourth-order autonomous recurrence relations with two invariants, whose degree growth is cubic or exponential. These examples contradict the common belief that maps with sufficiently many invariants can have at most quadratic growth. Cubic growth may reflect the existence of non-elliptic fibrations of invariants, whereas we conjecture that the exponentially growing cases lack the necessary conditions for the applicability of the discrete Liouville theorem. Comment: 16 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.04942 Zobrazit plný text záznamu View this record from Arxiv