一类不连续圆映象中多重魔梯的结构特征  

The characteristics of multiple devil's staircase structure in a sort of discontinuous circle maps

作　　者：王旭明[1] 房正纪[1] 

机构地区：[1]宁夏大学物理电气信息学院,宁夏银川750021

出　　处：《青海师范大学学报（自然科学版）》2005年第4期29-33,共5页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：宁夏高校科学基金项目(04038);宁夏大学科学研究项目(032507)

摘　　要：讨论了不连续圆映象中观察到的多重魔梯:锁相台阶构成一系列相似的塔状结构,每个台阶都属于某一加周期序列,各序列均构成光滑曲线;这种结构特征由产生台阶的碰撞模式及其延续方式决定.同此前报道的系统及多重魔梯比较,推断多重魔梯是一类不连续圆映象共有的特征.The multiple Devil＇s staircases observed in a discontinuous circle maps are discussed, Phaselocked steps form many towers with similar structure. Each step belongs to a certain period - adding sequence that in a smooth curve.The Collision modes that detemaine steps and their subsequent way bring on the multiple Devil＇s staircase and its special characteristics. By comparing the map and multiple Devil＇ s staircases with that previously reported, it can be concluded that multiple Devil＇ s staircase might be the common characteristic for a certain kind of discontinuous circle maps.

关 键 词：圆映象 多重魔梯 碰撞模式 

分 类 号：O441[理学—电磁学]