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Pseudo phase plane, delay and fractional dynamics
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Resumo(s)
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.
Descrição
Palavras-chave
Time lag Mutual information Experimental study Signal reconstruction Phase reconstruction Fractional derivative Phase plane method Fractional calculus Fractal dimension Delay time Phase delay Robotics
Contexto Educativo
Citação
Editora
Lavoisier