基于混沌映射不变分布的研究  

Research on invariant probability distribution based on chaotic map

作　　者：石军 刘联会[2] 

机构地区：[1]北京正有网络通信技术股份有限公司,北京100083 [2]西安科技大学通信与信息工程学院,陕西西安710054

出　　处：《中国计量学院学报》2003年第2期137-139,共3页Journal of China Jiliang University

摘　　要：　详细地研究了计算混沌映射不变分布的几种数值方法.结果表明,公式法适用于类似抛物线映射简单类的情况;直方图法适用于统计样本较大的情况;特征向量法适用于统计样本较少,但转移概率已知的情况。以logistic map混沌映射为例作了仿真,计算机模拟结果与理论分析结果相符。The three methods of calcucation invariant probability distribution for chaotic map are investigated in detail. The results indieate that the formula method fit for the map is simple,for example,Parabolic map,the histogram method is fit for the situation that the number of statistical sample is large,and the feature vector method fit for the transferred\|probability matrix is derived.A representative logistic\|map is simulated,and these results are in agreement with those of theoretic analysis.

关 键 词：混沌映射 不变分布 公式法 直方图法 特征向量法 状态概率分布密度 非线性混沌函数 样本 转移概率 

分 类 号：O211.3[理学—概率论与数理统计]