拟抛物单共振双全纯的动力学
Dynamics of quasi-parabolic one-resonant biholomorphisms
摘要:
本文研究了$\C^{n+1}$的拟抛物型单共振双全纯芽的动力学,即在原点处的微分具有一个特征值1,而其它芽具有一维共振关系族.我们定义了一些不变量,并给出了条件,确保存在的吸引域,这样的地图。
英文摘要:
In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of $\C^{n+1}$ fixing the origin, namely, those germs whose differential at the origin has one eigenvalue 1 and the others having a one dimensional family of resonant relations. We define some invariants and give conditions which ensure the existence of attracting domains for such maps.
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