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arxiv: 1205.1197 · v5 · pith:4CZKZZPDnew · submitted 2012-05-06 · 🧮 math.DS

Embedding the symbolic dynamics of Lorenz maps

classification 🧮 math.DS
keywords dynamicslorenzsymbolicalgorithmapplicationcalculatingconditionscontinuous
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Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.

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