Finite polynomial orbits in quadratic rings (Q851249)
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scientific article; zbMATH DE number 5073856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite polynomial orbits in quadratic rings |
scientific article; zbMATH DE number 5073856 |
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Finite polynomial orbits in quadratic rings (English)
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17 November 2006
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The authors classify all finite orbits (periodic and eventually periodic) of polynomial maps in one variable acting on rings quadratic integers. They show that the longest such orbit has seven elements. This valuable result, achieved with a computational tour de force, completes previous works by several authors.
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algebraic dynamics
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polynomial maps, polynomial cycles
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quadratic integers
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0.9366526
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0.9361298
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0.9302766
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0.9099685
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0.90425324
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