Reconstructing attractors with higher order correlation

| We propose a novel criterion of deciding time delays for reconstructing attractors from a single variable time series. Our criterion considers higher order correlation functions, and nds the convergence values of the extrema. In order to see how our method works well, we analyze two numerical examples by observing the shapes of reconstructed attractors and calculating phase space continuities. Our method can be a good criterion to set appropriate time delays on reconstructing attractors as a result.