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论文类型：期刊论文

发表时间：2013-01-01

发表刊物：INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

收录刊物：SCIE、EI

卷号：23

期号：1

ISSN号：0218-1274

关键字：Equipotential point algorithm; strike frequency; single point's iteration track; Julia set; fractal

摘要：Escape time algorithm is a classical algorithm to calculate the Julia sets, but it has the disadvantage of dull color and cannot record the iterative process of the points. In this paper, we present the equipotential point algorithm to calculate the Julia sets by recording the strike frequency of the points in the iterative process. We calculate and analyze the Julia sets in the complex plane by using this algorithm. Finally, we discuss the iteration trajectory of a single point.