Periodic entrainment of chaotic logistic map dynamics (Q919339)
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scientific article; zbMATH DE number 4159690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic entrainment of chaotic logistic map dynamics |
scientific article; zbMATH DE number 4159690 |
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Periodic entrainment of chaotic logistic map dynamics (English)
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1990
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The authors consider the map dynamics \(x_{n+1}=F(x_ n;c)\) and a periodic governing set \(\{g_ n\}\). The non-autonomous system \(x_{n+1}=F(x_ n;c)+G_ n\) then has the solution \(x_ n=g_ n\) if \(G_ n=g_{n+1}-F(g_ n;c).\) The study explores the values of c which yield entrained solutions, their basin of entrainment, and the basins of bounded solutions and their character for the logistic map substituted for \(F(x_ n;c)\).
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chaos
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iterated maps
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