Autor:	Ferragut, Antoni, Gasull, Armengol, Zhang, Xiang
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We give an upper bound for the number of functionally independent meromorphic first integrals that a discrete dynamical system generated by an analytic map $f$ can have in a neighborhood of one of its fixed points. This bound is obtained in terms of the resonances among the eigenvalues of the differential of $f$ at this point. Our approach is inspired on similar Poincar\'e type results for ordinary differential equations. We also apply our results to several examples, some of them motivated by the study of several difference equations.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.02514 Zobrazit plný text záznamu View this record from Arxiv