Shadowing and inverse shadowing for \(C^1\) endomorphisms (Q2505382)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shadowing and inverse shadowing for \(C^1\) endomorphisms |
scientific article |
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Shadowing and inverse shadowing for \(C^1\) endomorphisms (English)
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4 October 2006
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The authors deal with the shadowing and the inverse shadowing properties for \(C^1\) endomorphisms. They show that there exists two types of ``uniform'' (with respect to \(C^1\) perturbation) shadowing properties near a hyperbolic set of a \(C^1\) endomorphisms. Moreover, the authors prove that a hyperbolic endomorphism has the ``uniform'' (with respect to \(C^1\) perturbation) inverse shadowing property with respect to a class of continuous methods.
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\(C^1\) endomorphism
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shadowing and inverse shadowing
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hyperbolic set
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perturbation
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0.8891721
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0.88532454
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0.87556005
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0.87295413
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0.8727281
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0.86904365
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