An algorithm to prune the area-preserving Henon map

An explicit algorithm to provide the pruning front for the area-preserving Henon map is presented. The procedure terminates within finitely many steps when the map has hyperbolic structure. The only information required to specify the pruning front is a bifurcation diagram of homoclinic orbits, and it is obtained by tracking orbits from the anti-integrable limit. The pruned region thus determined is used to construct the Markov partition of the map, and the topological entropy is evaluated as an application