REMARK ON METRIC ANALYSIS OF RECONSTRUCTED DYNAMICS FROM CHAOTIC TIME-SERIES

We show that, for finite chaotic time series, the embedding with the d elay time which corresponds to a reconstructed phase diagram similar t o the original one does not necessarily lead to a good convergence of the correlation dimension. Delay time influences the measures of recon structed dynamics besides the geometries of reconstructed phase diagra ms. Moreover, the plateau onset of correlation dimension and the maxim al Lyapunov exponent can be produced by the low-dimensional embedding of the dynamics.