代数分析法在一维Logistic映射中的应用

Applications of the Algebraic Analytical Method in 1 dimensional Logistic Map

应用代数分析法对一维Ｌｏｇｉｓｔｉｃ映射ｘｎ＋１＝μ－ｘ２ｎ的平均值进行了讨论，首次发现了平均值在混沌区对参数的连续不可微性。

By using the algebraic analytical method, discussed the mean values of 1 D Logistic map X n+1 =μ-X 2 n . At the first time we find that the mean values are continuous but non differentiable in chaotic region, also discussed that by using the algebraic analytical method and the structure of the unstable periodic orbits to solve the higher degree algebraic equations.