Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2017-08-01

Journal: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Included Journals: Scopus、EI、SCIE

Volume: 25

Issue: 4

ISSN: 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.