Invariant circles for the piecewise linear standard map (Q1822107)

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scientific article; zbMATH DE number 4001021
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Invariant circles for the piecewise linear standard map
scientific article; zbMATH DE number 4001021

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    Invariant circles for the piecewise linear standard map (English)
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    1986
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    We investigate invariant circles for a one-parameter family of piecewise linear twist homeomorphisms of the annulus. We show that invariant circles of all types and rotation numbers occur and we classify them into families. We compute parameter ranges in which there are no invariant circles.
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    invariant circles
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    linear twist homeomorphisms
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