Computing the topological entropy of multimodal maps via min-max sequences (Q406058)

Summary: 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.