On the existence of 6-cycles for some families of difference equations of third order (Q6542399)
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scientific article; zbMATH DE number 7851932
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of 6-cycles for some families of difference equations of third order |
scientific article; zbMATH DE number 7851932 |
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On the existence of 6-cycles for some families of difference equations of third order (English)
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22 May 2024
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The authors prove the non-existence of 6-cycles for a specific class of third-order difference equations involving continuous symmetric bivariate functions. In the absence of the symmetric property, they determine the potential 6-cycles and describe avenues for further studies concerning cycles of other lengths.
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\(p\)-cycle
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symmetric function
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potential cycles
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equilibrium point
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iteration
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homeomorphism
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