Tony Samuel, Nina Snigireva, Andrew Vince
Abstract
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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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.
Key concepts: Topological entropy, Symbolic dynamics, Lorenz system, Piecewise, Dynamical systems theory, Interval (graph theory), Algorithm, Entropy (arrow of time)