摘要
某些迭代函数系统（ＩＦＳ）的吸引子的Ｈａｕｓｄｏｒｆ维数的经典估计通常由求解两个非线性方程的解得到．在相同条件下，本文给出了一些显式不等式估计，使经典估计是其中的特殊情形．
Typical estimates for upper and lower bounds of Hausdorff dimensions of attractors of IFS can be generally gotten through solving two nonlinear equations, respectively. In this paper, we propose some explicit estimates such that typical estimates are special cases of them. Based on the results, more importantly, Hausdorff dimensions of some attractors can be computed by solving a nonlinear equation with some conditions.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1998年第5期977-982,共6页
Acta Mathematica Sinica：Chinese Series
基金
贵州省科学基金
关键词
迭代函数系统
吸引子
豪斯道夫维数
估计
Iterated function systems, Attractors,Hausdorff dimension, Mass distribution
