On the absence of cycles for unimodal mappings of the square (Q1280681)
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scientific article; zbMATH DE number 1262559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the absence of cycles for unimodal mappings of the square |
scientific article; zbMATH DE number 1262559 |
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On the absence of cycles for unimodal mappings of the square (English)
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5 August 1999
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The paper is concerned with a family of unimodal mappings of the form (1) \(F:(x,y)\mapsto (\lambda f(x))(g(y))^s,x)\). Here \(\lambda,s\) are parameters such that \(0<\lambda<1\) and \(s>0\). Under some natural conditions on \(f\) and \(g\), it is shown that there exist domains in the space parameters \(\lambda,s\) such that mappings of the form (1) have periodic points other than fixed points.
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unimodal mapping
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periodic point
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fixed point
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wandering point
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