单位平面区域上随机折线映射及其交叉迭代的混沌分析  

Planar random polyline mapping in unit area and chaos analysis of its cross-iteration

作　　者：于万波[1] 杨雪松[2] 魏小鹏[1] 

机构地区：[1]大连大学先进设计与智能计算省部共建重点实验室,辽宁大连116622 [2]大连大学信息工程学院,辽宁大连116622

出　　处：《计算机应用研究》2011年第10期3837-3841,共5页Application Research of Computers

基　　金：国家"863"计划资助项目(2009AA01Z416);国家自然科学基金资助项目(30870573);国家博士后科学基金资助项目(20100471451);辽宁省高等学校优秀人才支持计划资助项目(LR201003);辽宁省高校科研计划资助项目(LS2010179)

摘　　要：为了构造综合性能较好的混沌序列应用于图像加密研究中,对单位区域折线的混沌特性进行研究,发现平面上的连续折线都可以经过平移、缩放等操作放入到平面坐标系的一个单位区域中。单位区域中的连续折线的满映射是Li-Yorke混沌的,在满足一定条件下,这些单位区域上的映射也是Devaney意义下混沌的。实验结果与理论分析表明,该类序列有较好的分布特性,用于图像加密具有较好的效果,因此这些映射产生的混沌序列可以用于图像加密等领域。In order to generate better chaotic sequences,which was used in image encryption,this paper researched the chaotic characters of polyline in the unit area,found that the continuous polyline in the plane could be put into a unit area through the translation,scaling and other operations.The continuous polylines＇ full mappings in the unit area were Li-Yorke chaotic,when certain conditions were met,these mappings were also Devaney chaotic.The experimental results and theoretical analysis show that those chaotic sequences have better distribution character and good effects in image encryption.Thus chaotic sequence generated by these mappings can be used in image encryption and other fields.

关 键 词：帐篷映射 LI-YORKE混沌 DEVANEY混沌 图像加密 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]