Information flow and maximum entropy measures for 1-D maps (Q1070993)
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scientific article; zbMATH DE number 3937092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Information flow and maximum entropy measures for 1-D maps |
scientific article; zbMATH DE number 3937092 |
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Information flow and maximum entropy measures for 1-D maps (English)
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1985
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This paper studies non-linear maps of a given interval onto itself and constructs the maximum entropy measure explicitly in several cases. It illustrates the information flow in simple systems and establishes relations between Lyapunov exponents, entropies and dimension. Metric and topological entropies are used, as well as Renyi information, connected with the fractal dimension.
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metric entropy
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topological entropy
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maximum entropy measure
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Lyapunov exponents
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Renyi information
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fractal dimension
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