Equicontinuity of iterates of a graph map (Q815173)
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scientific article; zbMATH DE number 5008866
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equicontinuity of iterates of a graph map |
scientific article; zbMATH DE number 5008866 |
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Equicontinuity of iterates of a graph map (English)
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22 February 2006
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Let \(f\) be a continuous map of a finite graph \(G\). A necessary and sufficient condition for the equicontinuity of the dynamical system \((G,f)\) is given. See also \textit{J.-H. Mai} [Trans. Am. Math. Soc. 355, 4125--4136 (2003; Zbl 1026.54031)].
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graph
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equicontinuous map
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periodic point
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\(\omega\)-limit point
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