Generalized horseshoe maps and inverse limits (Q756818)
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scientific article; zbMATH DE number 4192713
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized horseshoe maps and inverse limits |
scientific article; zbMATH DE number 4192713 |
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Generalized horseshoe maps and inverse limits (English)
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1992
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The now-classical example due to Smale, the horseshoe map, displays interesting dynamics as well as a topologically complicated attractor. In 1986 Marcy Barge showed that the full attracting sets of horseshoe maps are homeomorphic to inverse limits of the unit interval with a single bonding map. In this paper we extend Barge's results to more general class of maps.
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inverse limit space
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horseshoe map
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attractor
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