中文摘要：

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．

英文摘要：

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 chas can be speculated to some extent.