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Computing the topological entropy of multimodal maps via min-max sequences - MaRDI portal

Computing the topological entropy of multimodal maps via min-max sequences (Q406058)

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scientific article; zbMATH DE number 6340988
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Computing the topological entropy of multimodal maps via min-max sequences
scientific article; zbMATH DE number 6340988

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    Computing the topological entropy of multimodal maps via min-max sequences (English)
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    8 September 2014
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    Summary: We derive an algorithm to recursively determine the lap number (minimal number of monotonicity segments) of the iterates of twice differentiable \(l\)-modal map, enabling to numerically calculate the topological entropy of these maps. The algorithm is obtained by the min-max sequences -- symbolic sequences that encode qualitative information about all the local extrema of iterated maps.
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    topological entropy
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    interval maps
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    multimodal maps
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