A lower estimate of the topological entropy from a one-dimensional reconstruction of time series

• Autores: Maria Vivien V. Visaya
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 46, Nº 3, 2006, págs. 637-655
• Idioma: inglés
• DOI: 10.1215/kjm/1250281753
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• Resumen

  • We present a method for estimating the measure of complexity of an unknown dynamical system by studying the time series observed from it. In particular, we propose a simple method for giving a lower bound to the topological entropy of the unknown dynamical system via a onedimensional multivalued map obtained from the time series. We illustrate this method using the H´enon map and the magnetoelastic ribbon data.