Article ID Journal Published Year Pages File Type
1892198 Chaos, Solitons & Fractals 2008 7 Pages PDF
Abstract

It is well known that a lot of familiar fractal sets can be generated using recurrent method. Conclusions under similitude linear map are straightforward. In this paper, we study the upper and low bounds for the Hausdorff dimension and boxing-counting dimension of recurrent sets. Especially, we focus our attention on the case of the non-similitude.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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The Hausdorff and box-counting dimensions of a class of recurrent sets
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