论文标题

二次理性地图,带有$ 2 $ cycle of siegel磁盘

Quadratic rational maps with a $2$-cycle of Siegel disks

论文作者

Fu, Yuming, Yang, Fei, Zhang, Gaofei

论文摘要

对于具有$ 2 $ cycle的Siegel磁盘的二次合理功能的家族,我们证明这些Siegel磁盘的每个边界最多都包含一个关键点。在参数平面中,我们证明了Siegel磁盘的$ 2 $循环的边界包含两个关键点的轨迹是Jordan曲线。

For the family of quadratic rational functions having a $2$-cycle of bounded type Siegel disks, we prove that each of the boundaries of these Siegel disks contains at most one critical point. In the parameter plane, we prove that the locus for which the boundaries of the $2$-cycle of Siegel disks contain two critical points is a Jordan curve.

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