Computing the topological entropy of maps of the interval with three monotone pieces |
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| Authors: | Louis Block James Keesling |
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| Affiliation: | (1) Department of Mathematics, University of Florida, 32611 Gainesville, Florida |
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| Abstract: | An algorithm is presented for computing the topological entropy of a piecewise monotone map of the interval having three monotone pieces. The accuracy of the algorithm is discussed and some graphs of the topological entropy obtained using the algorithm are displayed. Some of the ideas behind the algorithm have application to piecewise monotone functions with more than three monotone pieces. |
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| Keywords: | Topological entropy piecewise monotone map chaotic dynamical system kneading matrix |
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