Reduced fractal analysis of the multidimensional attractor reconstructed from chaotic time series
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
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Evolution of cardiac activity is investigated by means of nonlinear dynamics, namely the method of temporal localization on the attractor reconstructed from a digitized electrocardiogram signal. Convergence for the function of topological instability at changing dimensionality is proven both theoretically and numerically, independently from personal features of subjects in a latter case. This provides an opportunity to estimate the complexity (expressed through the number of freedom degrees) of cardiac dynamics. On the other hand, this instability function normalized by its average displays a different kind of behavior that somewhat differs for various persons and reflects their individual features. The essential reduction of computation time and necessary statistics are also attained by means of the developed algorithm.