| A Trick Formula to Illustrate the Period Three Bifurcation Diagram of the Logistic Map |
| Received:June 05, 2009 Revised:September 15, 2009 |
| Key Words:
positive definite formula period-3 bifurcation logistic map.
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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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