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论文类型：期刊论文

发表时间：2017-08-01

发表刊物：FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

收录刊物：SCIE、EI、Scopus

卷号：25

期号：4

ISSN号：0218-348X

关键字：McMullen M Sets; Algebraic Analysis Method; Period-n; Steady Region

摘要：In this study, the period-n steady regions of McMullen family M sets are discussed. The calculation methods of the numbers of period-n steady regions are presented and the center points and boundaries of period-1 are studied by complex dynamical system theory. In addition, the problem about the free critical points is discussed. The experimental results show that the free critical points do not influence the distributions of period-n steady regions when m = d, which is proved theoretically.