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Entropy 2012, 14(4), 742-768; doi:10.3390/e14040742
Article

Computing the Topological Entropy of Multimodal Maps via Min-Max Sequences

1,* , 2
 and 1
Received: 9 February 2012 / Revised: 30 March 2012 / Accepted: 2 April 2012 / Published: 18 April 2012
Download PDF [353 KB, uploaded 18 April 2012]
Abstract: 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.
Keywords: topological entropy; interval maps; multimodal maps topological entropy; interval maps; multimodal maps
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Amigó, J.M.; Dilão, R.; Giménez, Á. Computing the Topological Entropy of Multimodal Maps via Min-Max Sequences. Entropy 2012, 14, 742-768.

AMA Style

Amigó JM, Dilão R, Giménez Á. Computing the Topological Entropy of Multimodal Maps via Min-Max Sequences. Entropy. 2012; 14(4):742-768.

Chicago/Turabian Style

Amigó, José María; Dilão, Rui; Giménez, Ángel. 2012. "Computing the Topological Entropy of Multimodal Maps via Min-Max Sequences." Entropy 14, no. 4: 742-768.


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