Symbolic dynamics, entropy and complexity of the Feigenbaum map at the accumulation point (Q1609962)
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scientific article; zbMATH DE number 1783031
| Language | Label | Description | Also known as |
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| English | Symbolic dynamics, entropy and complexity of the Feigenbaum map at the accumulation point |
scientific article; zbMATH DE number 1783031 |
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Symbolic dynamics, entropy and complexity of the Feigenbaum map at the accumulation point (English)
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19 August 2002
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In the paper the logistic map \(f(x)=rx(1-x)\) at the Feigenbaum accumulation point \(r=3.56994567\dots\) is considered. Its symbolic dynamics is discussed and based on the special grammars investigation and the information about conditional entropies, the authors introduce and study a complexity function.
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Feigenbaum map
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Shannon entropy
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complexity
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