Display Abstract

Title Computing the topological entropy of continuous maps using kneading sequences

Name Mar\'\i{}a Mun\~{n}oz Guillermo
Country Spain
Email maria.mg@upct.es
Co-Author(s) Jose S. C\'anovas
Submit Time 2014-02-17 07:15:20
Session
Special Session 68: Entropy-like quantities and applications
Contents
Following the ideas of Block, Keesling, Li and Peterson we introduce an algorithm to compute the topological entropy, with prescribed accuracy, of maps with four pieces of monotonicity. We also show how to extend our algorithm for multimodal maps with at most three different kneading sequences. As an application, we compute the topological entropy of 3--periodic sequences of logistic maps.