Journal of Northeastern University(Natural Science)

Journal of Northeastern University ›› 2007, Vol. 28 ›› Issue (9): 1262-1265.DOI: -

• OriginalPaper • Previous Articles     Next Articles

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.
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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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