Abstract | ||
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The complex mapping z <- z(a) is important in dynamical application, but it is not received as much attention in the literature as the mapping z <- z(a)+c, for there is not fractal structure by using escape time algorithm. This paper utilizes a new method named as distance ratio iteration method and discusses the iteration properties of the complex mapping z <- z(a). The distance ratio iteration method can render the convergence region of the mapping, so the image has complex and self-similarity structure. This paper generates fractal image using distance ratio iteration method for various exponents of z <- z(a) and discusses their visual properties. There is rich detail fractal structure in the mapping z <- z(a). |
Year | DOI | Venue |
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2006 | 10.1109/IMSCCS.2006.213 | FIRST INTERNATIONAL MULTI-SYMPOSIUMS ON COMPUTER AND COMPUTATIONAL SCIENCES (IMSCCS 2006), PROCEEDINGS, VOL 2 |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
1 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xi-zhe Zhang | 1 | 38 | 8.94 |
Lv Tianyang | 2 | 33 | 8.49 |
Shaobin Huang | 3 | 11 | 7.93 |
Zhengxuan Wang | 4 | 47 | 13.93 |