Computation of Topological Entropy of Finite Representations of Maps

Efficient methods to compute values of topological entropy of finite representations of maps are presented. Computational methods are illustrated using the Helton map as an example. Accurate finite representations of the Henon map are constructed and values of the topological entropy of these representations are calculated. Relations between the topological entropy of the Helton map and values of topological entropy of its finite representations are discussed.