基于递归图的一类自仿集的Hausdorff维数  

Hausdorff Dimension of a Self-Affine set Based on Recurrence Plot

作　　者：李艳晓[1] 袁可红[1] 

机构地区：[1]洛阳理工学院数理部,河南洛阳471023

出　　处：《洛阳理工学院学报（自然科学版）》2011年第1期81-84,共4页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

摘　　要：研究一类具有重叠结构的自仿集的Hausdorff维数。首先借助辅助迭代函数系统重构自仿集,然后建立递归图,给出自仿集Hausdorff维数的算法,并用康托集验证了该算法的有效性。This paper studies a class of Hausdorff dimensions with an overlapping self-affine set. Based on the auxiliary IFS, we reconstruct the recurrence plot. The algorithm of the Hausdorff dimension in the self-affine set has been given and testified validity through the classical cantor sets.

关 键 词：自仿集 HAUSDORFF维数 递归图 

分 类 号：O174[理学—数学]