论文标题
分析性差异性的Meromorricric第一积分
Meromorphic first integrals of analytic diffeomorphisms
论文作者
论文摘要
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.此限制是根据目前$ f $的差异值之间的共鸣获得的。我们的方法灵感来自类似的庞加莱类型结果，用于普通微分方程。我们还将结果应用于几个示例，其中一些是由研究多个差异方程式的研究。
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 Poincaré 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.
