Hirotaka Watanabe

Characterization of biological internal dynamics by the synchronization of coupled chaotic system

Abstract We investigate a characterization method of biological internal dynamics which exists in the background of biological signal. For the measured time series of the pulsation of human fingers capillary vessels, we extract an internal dynamics with a form of vector field by using embedding method. In order to characterize and recognize such dynamic structure, we construct an artificial dynamics of measured time series in the digital computer. Then we characterize the similarity of internal dynamics by the synchronized response of the artificial dynamics to the target internal dynamics. In this paper, we show the construction method of an artificial dynamics of measured time series and introduce three types of coupled system between original dynamics and artificial one. The effect of coupling is analyzed by the cross-correlation.