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Indexed by:期刊论文
Date of Publication:2017-08-01
Journal:FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
Included Journals:SCIE、EI、Scopus
Volume:25
Issue:4
ISSN No.:0218-348X
Key Words:McMullen M Sets; Algebraic Analysis Method; Period-n; Steady Region
Abstract: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.