-
作为形式上相对较为简单的一维混沌函数, Logistic系统在很多领域有着重要的应用. 本文主要分析了Logistic系统的熵稳定特性,对不同参数μ和系统初值形成的Logistic序列, 进行了统计分类,得到了一系列的熵值,并详细分析了熵的分布情况.数值仿真结果表明, Logistic系统的熵由参数μ决定,而与系统初值基本无关,且当参数μ取值接近上界(μ= 4)时, 序列分布越趋于均匀,熵也接近理论极限值.
-
关键词:
- Logistic系统/
- 混沌/
- 熵
As a simple one-dimensional chaotic system, logistic map has some important applications in many fields. The stable entropy characteristic of logistic function is proposed in this paper. A series of logistic sequence entropy, calculated under different initial values and values of parameter μ, is found to have some special distributions. A great number of numerical simulations prove that the entropy is determined by parameter μ, and it is irrelevant with initial value. The logistic sequence becomes a uniform distribution, and its entropy is close to a maximum, when μ is increased to 4. Thereby the stationary quality of logistic chaos can be speculated to some extent.-
Keywords:
- logistic system/
- chaos/
- entropy
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] -
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15]
计量
- 文章访问数:8874
- PDF下载量:774
- 被引次数:0
下载: