On a generalized Fatou-Julia theorem

被引：13
|
作者：
Rochon, D [1 ]
机构：
[1] Univ Quebec, Dept Math & Informat, Trois Rivieres, PQ G9A 5H7, Canada
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2003年 / 11卷 / 03期
关键词：
bicomplex numbers; Julia sets; Cantor sets;
D O I：
10.1142/S0218348X03002075
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we continue to explore some specific results in bicomplex dynamics. In particular, we give a bicomplex version of the so-called Fatou-Julia theorem. In fact, we give a complete topological characterization in R-4 of the bicomplex filled-Julia set for a quadratic polynomial in bicomplex numbers of the form omega(2) + c.
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页码：213 / 219
页数：7
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