Hunting Admissible Kneading pairs of a Real Rational Map

Cabral, João

http://hdl.handle.net/10400.3/2574

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
783-3409-1-PB_Hunting.pdf		352.98 KB	Adobe PDF	Download

Send Feedback

Authors

Cabral, João

Abstract(s)

The importance of symbolic systems is that they give us the possibility of simplifying some dynamical systems. Our expectations is that our work can help to understand better the behavior, under iteration, of the Real Rational Map, f(x)=(x²-a)/(x²-b), with 0<b<a<1. Kneading Theory is a powerful tool, and we use it to simplify processes arising from the complicated behavior of this map in a more simple way. In this work we establish some rules that bound regions where we can find, or not, Kneading pairs for f(x).

Description

This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.

Keywords

Symbolic Dynamics Real Rational Maps Kneading Theory

URI

http://hdl.handle.net/10400.3/2574

Citation

Cabral, J. (2013). "Hunting Admissible Kneading pairs of a Real Rational Map". «Asia Online Journals: Asian Journal of Fuzzy and Applied Mathematics», 1(4), 120-126. ISSN 2321-564X.