Hausdorff dimension of chaotic sets of interval self-maps  

作　　者：顾荣宝 

机构地区：[1]Department of Mathematics, Anhui University, Hefei 230039, China

出　　处：《Chinese Science Bulletin》1996年第21期1761-1764,共4页

基　　金：Project supported by the Youth Science Foundation of Anhui University.

摘　　要：Let I be the interval [0,1].We denote by (I) the space of all continuous mapsfrom I into itself with the C^0 topology,i.e.the topology induced by the metric ρ(f,g) =sup{|f(x)-g(x)||x∈I}. Let f∈(I).A subset C of I is said to be Li-Yorke chaotic in respect to f if forany two points x,y∈C with x≠y,

关 键 词：INTERVAL self-map CHAOTIC SET HausdorfT dimension. 

分 类 号：O157.5[理学—数学]