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International Journal of Computer Mathematics Volume 86, 2009 - Issue 10-11: COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING
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Original Articles

Estimating topological entropy from individual orbits

Jose S. Cánovas Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, C/ Doctor Fleming sn., 30202, Cartagena, SpainCorrespondence[email protected]
Pages 1901-1906 | Received 15 Sep 2008, Accepted 08 Feb 2009, Published online: 18 Nov 2010
 
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Abstract

The relationship between the topological entropy of a continuous piecewise monotone interval map and the permutation entropy of its orbits is given. We use this relationship to estimate the topological entropy of the map.

2000 AMS Subject Classifications :

Acknowledgements

This paper has been partially supported by the grants MTM2008-03679/MTM [MCI (Ministerio de Ciencia e Innovación) and FEDER (Fondo Europeo de Desarrollo Regional)] and 08667/PI/08 [Fundación Séneca, CARM].

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