2014•Mathematical Proceedings of the Cambridge Philosophical SocietyOpen access

Embedding the symbolic dynamics of Lorenz maps

Tony Samuel, Nina Snigireva, Andrew Vince

Abstract

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

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Key concepts: Symbolic dynamics, Embedding, Topological entropy, Lorenz system, Piecewise, Interval (graph theory), Mathematics, Hénon map