Degeneration of the Julia set to singular loci of algebraic curves

被引：2

作者：

Saito, Satoru

Saitoh, Noriko ^{[1
]}

Harada, Hiromitsu ^{[2
]}

Yumibayashi, Tsukasa ^{[2
]}

Wakimoto, Yuki ^{[2
]}

机构：

[1] Yokohama Natl Univ, Dept Appl Math, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan

[2] Tokyo Metropolitan Univ, Dept Phys, Hachioji, Tokyo 1920397, Japan

来源：

AIP ADVANCES | 2013年 / 3卷 / 06期

关键词：

D O I：

10.1063/1.4809745

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

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. (C) 2013 Author(s).

引用

页数：12

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