双叶映射混沌序列分析  

Analysis on the Chaotic Sequence of Bifoliate Map

作　　者：金光浪[1] 胡鸿豪[1] 

机构地区：[1]景德镇陶瓷学院,江西景德镇333000

出　　处：《通信技术》2008年第2期58-59,62,共3页Communications Technology

摘　　要：机器的有限精度会导致它的混沌序列进入周期轨道,解决有限精度的短周期效应又会产生序列的平衡问题。文中提出了双叶映射,该映射通过对混沌序列的均值曲线的拟合,保证了在有限精度条件下进行变参数映射时序列的基本平衡,因此双叶映射容易产生平衡的混沌序列;理论分析与仿真结果表明,双叶数字混沌序列具有良好的平衡性和随机性,更高的保密性,等等,因此具有很高的参考价值和良好的应用前景。A machine with finite precision would lead its chaotic sequences into periodic orbits, while solving the periodic effect of finite precision produce the balance problem of the sequences. This paper puts forward BIFOLIATE map, which by fitting the mean-curve of the chaotic sequence, ensures its sequence approximately in the balance status when it varies the bifurcation parameter with finite precision. Therefore BIFOLIATE map can easily generate the balanced chaotic sequence. The theoretic analysis and simulation show that the BIFOLIATE chaotic sequence has good balance characteristic, better randomness and confidentiality, etc, so is of high reference value and good application prospect.

关 键 词：混沌映射 有限精度 变分岔参数 双叶映射 平衡特性 

分 类 号：TN91[电子电信—通信与信息系统]