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  • 标题:Number of Forts in Iterated Logistic Mapping
  • 作者:Kaixuan Yu ; Zhiheng Yu
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2016
  • 卷号:2016
  • DOI:10.1155/2016/4682168
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Using the theory of complete discrimination system and the computer algebra system MAPLE V.17, we compute the number of forts for the logistic mapping on parameterized by . We prove that if then the number of forts does not increase under iteration and that if then the number of forts is not bounded under iteration. Furthermore, we focus on the case of and give for each some critical values of for the change of numbers of forts.
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