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Hausdorff dimension of chaotic sets of interval self-maps

Hausdorff dimension of chaotic sets of interval self-maps
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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,
作者 顾荣宝
出处 《Chinese Science Bulletin》 SCIE EI CAS 1996年第21期1761-1764,共4页
基金 Project supported by the Youth Science Foundation of Anhui University.
关键词 INTERVAL self-map CHAOTIC SET HausdorfT dimension. interval self-map chaotic set Hausdorff dimension
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