Is the dimension of chaotic attractors invariant under coordinate changes? (Q1073428)
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scientific article; zbMATH DE number 3944909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Is the dimension of chaotic attractors invariant under coordinate changes? |
scientific article; zbMATH DE number 3944909 |
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Is the dimension of chaotic attractors invariant under coordinate changes? (English)
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1984
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Several different dimensionlike quantities, which have been suggested as being relevant to the study of chaotic attractors, are examined. In particular, we discuss whether these quantities are invariant under changes of variables that are differentiable except at a finite number of points. It is found that some are and some are not. It is suggested that the word ''dimension'' be reversed only for those quantities have this invariance property.
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coordinate changes
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chaotic attractors
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invariance property
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