An environment for computing topological entropy for skew-product transformations

Authors:
Francisco Balibrea;Juan L. G. Guirao;Fernando L. Pelayo
Affiliations:
Department of Mathematics, University of Murcia, 30100 - Murcia, Spain;Department of Mathematics & Computer Science, University of Castilla-La Mancha, 16071 - Cuenca, Spain;Department of Mathematics & Computer Science, University of Castilla-La Mancha, 16071 - Cuenca, Spain
Venue:
ICCMSE '03 Proceedings of the international conference on Computational methods in sciences and engineering
Year:
2003

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Abstract

The main objective of this paper is to introduce a specific software package for computing topological entropy of two-dimensional skew-product transformations. The Kneading Theory establishes the necessary background for this study is some particular cases. This is not only a hard but also a computationally expensive problem. The CAS Mathematica provides a suitable environment for implementing the algorithm associated to the rigorous computation of the topological entropy of the considered systems.