Symbolic Dynamics for Real Rational Maps

This work is an attempt to study the dynamics of real rational maps f ab (x) = (x 2 - a) / (x 2 - b), using symbolic dynamics. It is given an example that illustrates how the topological entropy can be calculated using kneading theory and Markov partitions in this family of rational maps.

Bibliographic Details
Main Author: Cabral, João (author)
Format: article
Language:eng
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/10400.3/2507
Country:Portugal
Oai:oai:repositorio.uac.pt:10400.3/2507
Description
Summary:This work is an attempt to study the dynamics of real rational maps f ab (x) = (x 2 - a) / (x 2 - b), using symbolic dynamics. It is given an example that illustrates how the topological entropy can be calculated using kneading theory and Markov partitions in this family of rational maps.