A Trick Formula to Illustrate the Period Three Bifurcation Diagram of the Logistic Map

• 作 者: Bei Ye FENG
• 机 构: InstituteofAppliedMathematics
• 出 处: 数学研究与评论：英文版
• 发表日期: 2010年2期
• 关键词: Logistic 代数公式 映射图 三分支 微缺陷 地图 后勤 positive definite formula period-3 bifurcation

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 pre