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

Visaya, Maria Vivien V.

J. Math. Kyoto Univ., Tome 46 (2006) no. 4, p. 637-655 / Harvested from Project Euclid

Résumé

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.

Publié le : 2006-05-15
Classification: 37B40, 37M10

@article{1250281753,
     author = {Visaya, Maria Vivien V.},
     title = {A lower estimate of the topological entropy from a one-dimensional reconstruction of time series},
     journal = {J. Math. Kyoto Univ.},
     volume = {46},
     number = {4},
     year = {2006},
     pages = { 637-655},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281753}
}

Visaya, Maria Vivien V. A lower estimate of the topological entropy from a one-dimensional reconstruction of time series. J. Math. Kyoto Univ., Tome 46 (2006) no. 4, pp.  637-655. http://gdmltest.u-ga.fr/item/1250281753/