Logistic二维多峰曲线现象研究
Research on the Phenomenon of Logistic Two Dimension Multi-Peak Curves
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摘要: 通过研究Logistic混沌映射动力系统性态特征, 发现由Logistic混沌序列值通过固定间隔标记的二维空间中的点, 具有沿某种“规律多峰曲线”随机分布的现象, 即形成“Logistic多峰曲线图象” (Logistic Multi-Peak Curves Image) .针对这一现象展开深入研究, 得到了一系列关于“Logistic多峰曲线” (Logistic Multi-Peak Curves) 的性态特征和Logistic混沌序列值标记的二维点在其上分布的特性.得到如下规律:Logistic多峰曲线图象在保留了Logistic动力系统遍历性、伪随机性的同时, 还具有自身可控性、稳定性和对称性等特性.Abstract: By studying the behavior of Logistic map, it has been found that the points which have been located by Logistic Chaotic Series will distribute on some kinds of law curve.This paper summarizes a series of properties on the Phenomenon and characteristics of Logistic Multi-Peak Curves.This paper proves that Logistic Multi Peak Curves Image has ergodicity, pseudo-randomness, controltablility, stability and symmetry and so on.
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