Journal of South China University of Technology (Natural Science Edition) ›› 2005, Vol. 33 ›› Issue (5): 92-96.

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Fuzzification and Relativity Analysis of Logistic Mappings

Mo Hong1  Shi Song-quan2   

  1. 1.Dept.of Applied Mathematics,Shanghai Univ.of Finance and Economics,Shanghai 200433;2.Dept.of Mechanical and Electrical Engineering,Shaoxing Univ.,Shaoxing 312000,Zhejiang,China
  • Received:2003-12-22 Online:2005-05-25 Published:2005-05-25
  • Contact: 莫红(1972-)，女，博士，讲师，主要从事动力系统、智能控制和复杂系统方面的研究． E-mail:mohong198@ 163.com
  • About author:莫红(1972-)，女，博士，讲师，主要从事动力系统、智能控制和复杂系统方面的研究．

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Abstract:

In order to compare the property of CDS(Conventional Dynamic System)corresponding to LDS(Lin-guistic Dynamic System),the logistic mapping Xn+1 =βxn (1-Xn ),β∈(0,4) is fuzzificated,whose stability,bi-furcation and chaotic property are then analyzed by means of the inner section mapping.The fuzzification of the lo-gistic mapping can not only retain the property of CDS but also simplify the description of system states an d huma-nize the outputs of the system.So,a theoretical foundation is laid for the development of intelligent computers in the future

Key words: logistic mapping, fuzzification, relativity an alysis, linguistic dynam ic system, extension principle