Boundary circles for area-preserving maps (Q1085577)
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scientific article; zbMATH DE number 3982438
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary circles for area-preserving maps |
scientific article; zbMATH DE number 3982438 |
Statements
Boundary circles for area-preserving maps (English)
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1986
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We report on numerical observations of various properties of ''boundary circles'' for area-preserving maps. We find that the continued fraction expansion of their rotation number generally has a special form. We describe how their rotation number changes as parameters are varied. We observe a statistically self-similar structure in the neighbourhood of boundary circles, which is probably relevant to the long time tails of the decay of correlations in the irregular components.
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non-integrable Hamiltonian system
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numerical observations
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boundary circles
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area-preserving maps
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continued fraction expansion
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rotation number
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self-similar structure
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long time tails
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correlations
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0.8968278
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0.8866887
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0.8802154
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0.8733573
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0.8726021
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0.86996484
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0.8696971
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