Computing the topological entropy of multimodal maps via min-max sequences

Abstract

We derive an algorithm to recursively determine the lap number (minimal number of monotonicity segments) of the iterates of twice differentiable l-modal map, enabling to numerically calculate the topological entropy of these maps. The algorithm is obtained by the min-max sequences-symbolic sequences that encode qualitative information about all the local extrema of iterated maps. © 2012 by the authors.