用二进制讨论面包师变换的动力学特性  

The Discussion of the Dynamics Characteristics of Baker's Tranformation in Binary

作　　者：王双进[1] 冯磊[1] 周国香[1] 

机构地区：[1]河北工业大学理学院,天津300130

出　　处：《河北工业大学学报》2009年第4期44-46,共3页Journal of Hebei University of Technology

基　　金：河北省教育厅自然科学研究指令项目(2008114)

摘　　要：通过二进制研究面包师变换在不同初始值情况下的动力学特性.当初始值分别取有限位小数,任意循环小数,任意不循环小数时,面包师变换的最终分别趋向于吸引子,收敛于周期轨道,进入混沌状态.并且借助函数可以分析出前两种情况的轨道是不稳定的.The method of binary was used in studying the dynamics characteristics of Baker＇s transformation. In the case of willfully limited decimal number, repeating decimal, no repeating decimal, the result is that tending to the attractor, being restrained in the periodic orbit, entering the chaotic state. It can be analyzed that the orbit was unstability in the first two kind of situations by δ function.

关 键 词：面包师变换 周期轨道 二进制 混沌 函数 

分 类 号：O415[理学—理论物理]