Accessible points in the Julia sets of stable exponentials
Accessible points in the Julia sets of stable exponentials
复制标题
稳定指数 Julia 集中的可访问点
DOI：
10.3934/dcdsb.2001.1.299
复制
发表时间：
2001
影响因子：
1.2
通讯作者：
Monica Moreno
中科院分区：
文献类型：
--
作者：
R. Bhattacharjee;R. Devaney;R. DeVille;K. Josić;Monica Moreno
本文考虑点的可达性问题
在复指数函数的Julia集上，当指数函数存在吸引圈时，在吸引不动点的情况下
已知Julia集是Cantor花束，并且唯一的点
从盆可接近的是花束的端点。如果循环
有周期二或更长，有更多的限制，哪些点在
Julia集是可访问。本文给出了点的精确条件
在周期点的情况下，
对于周期。
In this paper we consider the question of accessibility of points
in the Julia sets of complex exponential functions in the case where the exponential admits an attracting cycle. In the case of an attracting fixed point
it is known that the Julia set is a Cantor bouquet and that the only points
accessible from the basin are the endpoints of the bouquet. In case the cycle
has period two or greater, there are many more restrictions on which points in
the Julia set are accessible. In this paper we give precise conditions for a point
to be accessible in the periodic point case in terms of the kneading sequence
for the cycle.