The Attractors of Super Iterated Function Systems on Fractal Space
The Attractors of Super Iterated Function Systems on Fractal Space
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DOI：
10.1088/1742-6596/2650/1/012001
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发表时间：
2023-11
期刊：
影响因子：
--
通讯作者：
Nan Jiang;Nana Ma;Wei Li;Fei Li
中科院分区：
文献类型：
--
作者：
Nan Jiang;Nana Ma;Wei Li;Fei Li
Fractal geometry is a new branch of mathematics, which has a very wide and important application in everyday life. Iterated function systems (abbrev: IFS ) play an important role in constructing fractal set, which is a critical method in fractal geometry. The attractor is also an important concept of fractal geometry, which is obtained by an iterated function systems or a super iterated function systems (abbrev: SIFS). The SIFS is a significant generalization of the IFS by taking the number of functions of the IFS from finity to infinity. This study extend IFS to SIFS through uniform convergence. Then, some important properties similar to IFS are obtained, particularly the property of the attractors. Finally, The relationship among the attractors between SIFS and IFS is obtained, denoted by limn→∞An=A .
