东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (9): 1262-1265.DOI: -

• 论著 • 上一篇    下一篇

M-J混沌分形图谱中Misiurewicz点的分布规律

徐喆;于海;朱志良;朱伟勇;   

  1. 东北大学信息科学与工程学院;东北大学软件学院;东北大学软件学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-09-15 发布日期:2013-06-24
  • 通讯作者: Xu, Z.
  • 作者简介:-
  • 基金资助:
    教育部博士学科点专项科研基金资助项目(2003145030)

On the distribution of Misiurewicz points in M-J chaos-fractal spectrum

Xu, Zhe (1); Yu, Hai (2); Zhu, Zhi-Liang (2); Zhu, Wei-Yong (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (2) Software College, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-09-15 Published:2013-06-24
  • Contact: Xu, Z.
  • About author:-
  • Supported by:
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摘要： 利用计算机数学试验的方法研究了M-J混沌分形图谱中的准周期点——Misiurewicz点的性质及分布规律,得到了Misiurewicz点和M集周期芽孢的拓扑分布关系,给出Misiurewicz点和M集周期芽孢之间的递推公式,为进一步揭示M集的图像内部结构特征以及其内部的周期点、准周期点的性质提供了一个有益的探讨.

关键词: 混沌分形, Misiurewicz点, 周期芽孢, 拓扑分布

Abstract: Using the method of computer mathematic experiments, the nature of Misiurewicz points as the preperiodic points in M-J chaos-fractal spectrum and their distribution are studied. The topological relationship between the distribution of Misiurewicz points and that of M-set periodic-buds is thus given, with a recursion formula between them derived. As a result, a useful discussion is made on revealing further the internal structure of M-set images and the properties of its periodic and perperiodic points.

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