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2006 A lower estimate of the topological entropy from a one-dimensional reconstruction of time series
Maria Vivien V. Visaya
J. Math. Kyoto Univ. 46(3): 637-655 (2006). DOI: 10.1215/kjm/1250281753
Abstract

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.

Visaya: A lower estimate of the topological entropy from a one-dimensional reconstruction of time series
Copyright © 2006 Kyoto University
Maria Vivien V. Visaya "A lower estimate of the topological entropy from a one-dimensional reconstruction of time series," Journal of Mathematics of Kyoto University 46(3), 637-655, (2006). https://doi.org/10.1215/kjm/1250281753
Published: 2006
Vol.46 • No. 3 • 2006
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