PERIOD REGION DISTRIBUTIONS OF MCMULLEN FAMILY M SETS
PERIOD REGION DISTRIBUTIONS OF MCMULLEN FAMILY M SETS
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DOI：
10.1142/s0218348x17400126
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发表时间：
2017-07
期刊：
影响因子：
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通讯作者：
Zhixing Lu;Yuanyuan Sun;Xiaopeng Hu
中科院分区：
文献类型：
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作者：
Zhixing Lu;Yuanyuan Sun;Xiaopeng Hu
本文讨论了McMullen族M集的n周期稳定域。给出了n周期稳定域个数的计算方法，并利用复动力系统理论研究了n周期稳定域的中心点和边界。此外，还讨论了自由临界点问题.实验结果表明，当m = d时，自由临界点不影响n周期稳定区的分布，并从理论上证明了这一点。
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.