A Trick Formula to Illustrate the Period Three Bifurcation Diagram of the Logistic Map
Received:June 05, 2009  Revised:September 15, 2009
Key Word: positive definite formula   period-3 bifurcation   logistic map.  
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Author NameAffiliation
Bei Ye FENG Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China 
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Abstract:
      In this paper we develop an algebraic formula in analyzing the bifurcation of the logistic map. Based on this formula, we give a new, short and rigorous proof for the period-3 bifurcation diagram of the logistic map. Therefore, we simplify the work in previous references and improve some insufficiently rigorous slight defects in them.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.02.011
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