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一类不连续圆映象中多重魔梯的结构特征
引用本文:王旭明,房正纪.一类不连续圆映象中多重魔梯的结构特征[J].青海师范大学学报(自然科学版),2005(4):29-33.
作者姓名:王旭明  房正纪
作者单位:宁夏大学,物理电气信息学院,宁夏,银川,750021
基金项目: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.

关 键 词:圆映象  多重魔梯  碰撞模式
文章编号:1001-7542(2005)04-0029-05
收稿时间:2005-06-10
修稿时间:2005年6月10日

The characteristics of multiple devil's staircase structure in a sort of discontinuous circle maps
WANG Xu-ming,FANG Zheng-ji.The characteristics of multiple devil''''s staircase structure in a sort of discontinuous circle maps[J].Journal of Qinghai Normal University(Natural Science Edition),2005(4):29-33.
Authors:WANG Xu-ming  FANG Zheng-ji
Institution:School of Physics and Electric Information Science, Ningxia University, Yinchuan 750021, China
Abstract:The multiple Devil's staircases observed in a discontinuous circle maps are discussed.Phase-locked 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 determine 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.
Keywords:circle map  multiple devil's staircase  collision mode
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