A Class of Nonlinear Markov Iterated Function System Attractors
Received:May 16, 2005  Revised:July 01, 2005
Key Words: NMIFS attractor   balanced vector measure   moment.  
Fund Project:the National Natural Science Foundation of China (60573172); the Superior University Science Technology Research Project of Liaoning Province (20040081).
Author NameAffiliation
WANG Xing-yuan School of Electronic and Information Engineering, Dalian University of Technology, Liaoning 116024, China 
LIU Bo School of Electronic and Information Engineering, Dalian University of Technology, Liaoning 116024, China 
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Abstract:
      In this article the theory of NMIFS (Nonlinear Markov Iterated Function System) and the construction method of an NMIFS are presented. The balanced vector measure and the recursive calculation of the ``moment'' of a class of NMIFS attractors are discussed, and the structure characteristics are analyzed. The result shows that we can calculate the moments $\hat {M}^{(i)}~(i = 1,2, \ldots )$ for MIFS, but for NMIFS, we cannot calculate $\hat {M}^{(i)}$ directly because the calculation of $\hat {M}^{(i)}$depends on the value of $\hat {M}^{(j)}(j \ge i)$. So only the approximated value of $\hat {M}^{(i)}$ could be obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.02.004
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