Hunting Admissible Kneading pairs of a Real Rational Map

Authors

  • João Cabral Azores University

Keywords:

Symbolic Dynamics, Real Rational Maps, Kneading Theory

Abstract

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).

Author Biography

João Cabral, Azores University

Assistant Teacher

Maths Department

References

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Published

2014-01-07

How to Cite

Cabral, J. (2014). Hunting Admissible Kneading pairs of a Real Rational Map. Asian Journal of Fuzzy and Applied Mathematics, 1(4). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/783