The equality of fractal dimension and uncertainty dimension for certain dynamical systems (Q1207981)
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scientific article; zbMATH DE number 165643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The equality of fractal dimension and uncertainty dimension for certain dynamical systems |
scientific article; zbMATH DE number 165643 |
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The equality of fractal dimension and uncertainty dimension for certain dynamical systems (English)
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16 May 1993
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For a one- and two-dimensional dynamical system which has finitely many but at least two attractors, and is uniformly hyperbolic on their basin boundary it is proved that box-counting dimension, uncertainty dimension and Hausdorff dimension are equal for the basin boundary.
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hyperbolicity
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fractal dimension
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basin boundary
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box-counting dimension
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uncertainty dimension
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Hausdorff dimension
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