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A Trick Formula to Illustrate the Period Three Bifurcation Diagram of the Logistic Map 被引量:1

A Trick Formula to Illustrate the Period Three Bifurcation Diagram of the Logistic Map
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摘要 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. 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.
作者 Bei Ye FENG
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第2期286-290,共5页 数学研究与评论(英文版)
关键词 positive definite formula period-3 bifurcation logistic map. positive definite formula period-3 bifurcation logistic map.
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  • 2MAY R. Simple mathematical models with very complicated dynamics [J]. Nature, 1976, 261: 459-467.
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