Symbolic Dynamics for Real Rational Maps

Cabral, João

http://hdl.handle.net/10400.3/2507

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Authors

Cabral, João

Abstract(s)

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.

Keywords

Rational Maps Symbolic Dynamics Topological Entropy Markov Partitions

URI

http://hdl.handle.net/10400.3/2507

Citation

Cabral, J. (2013). "Symbolic Dynamics for Real Rational Maps". «Asia Online Journals: Asian Journal of Fuzzy and Applied Mathematics», 1(4), 69-75. ISSN 2321-564X.