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Classification of one-dimensional expanding attractors - MaRDI portal

Classification of one-dimensional expanding attractors (Q1048576)

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scientific article; zbMATH DE number 5656333
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Classification of one-dimensional expanding attractors
scientific article; zbMATH DE number 5656333

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    Classification of one-dimensional expanding attractors (English)
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    12 January 2010
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    In this paper a unifying construction of a diffeomorphism with a one-dimensional expanding attractor is described; the restriction of a diffeomorphism to this attractor is conjugate to a special shift of the inverse limit of an expanding linear map of the circle. Examples of such diffeomorphisms are next presented.
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    1-D expanding attractors
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    diffeomorphisms of compact manifolds
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    Antoine's necklace
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