Pseudo phase plane, delay and fractional dynamics

This paper analyses the relationship between the signal delay and the fractional dynamics. It is shown that some experimental signals spectra are approximated by trendlines. Based on the slope of these trendlines the fractional or integer order behavior is determined. For the pseudo phase plane reco...

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Bibliographic Details
Main Author: Lima, Miguel Francisco Martins (author)
Other Authors: Tenreiro Machado, J. A. (author), Crisóstomo, Manuel Marques (author)
Format: article
Language:eng
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/10400.22/13148
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/13148
Description
Summary:This paper analyses the relationship between the signal delay and the fractional dynamics. It is shown that some experimental signals spectra are approximated by trendlines. Based on the slope of these trendlines the fractional or integer order behavior is determined. For the pseudo phase plane reconstruction of each signal, the time delays are calculated through the fractal dimension, as an alternative to the mutual information that is often used. The slopes of the trendlines spectra reveal a relationship with the fractal dimension of the pseudo phase plane and the corresponding time lag.