Degeneration of the Julia set to singular loci of algebraic curves

作者：Saito Satoru^*; Saitoh Noriko; Harada Hiromitsu; Yumibayashi Tsukasa; Wakimoto Yuki

来源：AIP Advances, 2013, 3(6): 062103.

DOI：10.1063/1.4809745

We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map along algebraic curves. We will see that the IDPs are singular loci of the curves.

• 出版日期2013-6