Abstract
A powerful approach is proposed for the characterization of chaotic signals. It is based on the combined use of two classes of indicators: (i) the probability of suitable symbolic sequences (obtained from the ordinal patterns of the corresponding time series); (ii) the width of the corresponding cylinder sets. This way, much information can be extracted and used to quantify the complexity of a given signal. As an example of the potentiality of the method, I introduce a modified permutation entropy which allows for quantitative estimates of the KolmogorovSinai entropy in hyperchaotic models, where other methods would be unpractical. As a byproduct, estimates of the fractal dimension of the underlying attractors are possible as well.
Original language  English 

Article number  144101 
Journal  Physical Review Letters 
Volume  118 
Issue number  4 
DOIs  
Publication status  Published  7 Apr 2017 
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Profiles

Antonio Politi
 Mathematical Sciences (Research Theme)
 School of Natural & Computing Sciences, Physics  Chair in Physics of Life Sciences
 Institute for Complex Systems and Mathematical Biology (ICSMB)
Person: Academic