一维Logistic映射的分形维数  

The Fractal Dimension of One Dimensional Logistic Map

作　　者：邵明望[1] 

机构地区：[1]安徽师范大学化学系,安徽芜湖241000

出　　处：《科技通报》2000年第1期58-60,共3页Bulletin of Science and Technology

摘　　要：针对一维Logistic映象与初值的关系,讨论了一维映射的分形曲线,计算得出分形维数D值按几何级数收敛,且收敛速率β= 3.According to the relation of one dimensional logistic map and initial value the fractal dimension of one dimensional logistic map was discussed .The geometrical series covergence rate of fractal dimension β was 3.127.

关 键 词：LOGISTIC映射 分形 分形维数 一维映射 

分 类 号：O189[理学—数学]