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- W2389242110 abstract "In order to discuss the problem about the chaotic properties of the differentiable operator dynamical system,in this paper,we take the maximum of absolute value as the norm for the continuous function on the interval E = [-1,1],and obtain the linear space(C(E,R),||﹒||) with norm.Define the differentiable operator D and the metric d on an analytic function subspace A of(C(E,R),||﹒||),and choose a kind of special functions Φ: E→R in A.Then by constructing a distributively chaotic set B in a sequence of D we show that the differentiable operator D is distributively chaotic in a sequence.In contrast with early works on the chaotic properties of a continuous map of a compact metric space,this paper discusses the distributively chaotic properties in a sequence of the differetiable operator of an analytic function subspace.This is very useful and can offer a guide for studying the chaotic properties of all kinds of functions." @default.
- W2389242110 created "2016-06-24" @default.
- W2389242110 creator A5025640997 @default.
- W2389242110 date "2007-01-01" @default.
- W2389242110 modified "2023-09-24" @default.
- W2389242110 title "Distribution chaos in a sequence of differentiable operator" @default.
- W2389242110 hasPublicationYear "2007" @default.
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