On the numerical approximation of the rotation number (Q1097643)
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scientific article; zbMATH DE number 4035005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the numerical approximation of the rotation number |
scientific article; zbMATH DE number 4035005 |
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On the numerical approximation of the rotation number (English)
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1988
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The author shows that a polygonal approximation to an invariant curve \(\gamma\) of a homeomorphism \(\Phi\) from the circle onto itself is also a homeomorphism. On this basis, an approximate rotation number is defined and the error of the approximate rotation number is discussed. The paper presents some algorithms for the computation of the approximation of a rotation number for an explicitly given circle map. Computational results for the delayed logistic map are presented.
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polygonal approximation
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invariant curve
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homeomorphism
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rotation number
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circle map
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delayed logistic map
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