Certain properties of skew products over a horseshoe and a solenoid (Q2783050)
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scientific article; zbMATH DE number 1729299
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Certain properties of skew products over a horseshoe and a solenoid |
scientific article; zbMATH DE number 1729299 |
Statements
12 January 2003
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skew product systems
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Bernoulli shift
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solenoid
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hyperbolic attracting periodic points
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hyperbolic repelling periodic points
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zero Lyapunov exponent
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Certain properties of skew products over a horseshoe and a solenoid (English)
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Skew product systems over the Bernoulli shift and over the solenoid, with a circle as fiber, are studied. The mapping in the fiber is assumed to depend Hölder continuously on the base point. It is shown that there is an open set of such systems possessing a dense set of hyperbolic attracting periodic points, a dense set of hyperbolic repelling periodic points, as well as dense orbits with, along the fiber, zero Lyapunov exponent.NEWLINENEWLINEFor the entire collection see [Zbl 0981.00006].
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